VandenBroeck and Keller, Equation (23)

Time bar (total: 13.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze408.0ms (3%)

Memory
24.7MiB live, 453.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%12.5%87.4%0.1%0%0%0%6
15.6%15.6%84.3%0.1%0%0%0%7
16.7%15.6%78%0.1%0%6.2%0%8
25%23.4%70.2%0.1%0%6.2%0%9
29.7%26.9%63.6%0.1%0%9.4%0%10
30.8%26.9%60.5%0.1%0%12.5%0%11
35.9%31.4%56%0.1%0%12.5%0%12
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample2.2s (16.3%)

Memory
69.9MiB live, 1 880.5MiB allocated
Samples
1.7s8 256×0valid
49.0ms271×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 219.0ms (17.4% of total)
ival-div: 218.0ms (17.4% of total)
ival-tan: 204.0ms (16.2% of total)
ival-pow: 200.0ms (15.9% of total)
ival-sin: 174.0ms (13.9% of total)
ival-add: 118.0ms (9.4% of total)
ival-neg: 103.0ms (8.2% of total)
exact: 10.0ms (0.8% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain288.0ms (2.1%)

Memory
5.6MiB live, 420.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
730-0-(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
330-0-(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
00-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 F F) #s(literal 2 binary64))
00-0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-(*.f64 F F)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
00-0-F
00-0-(tan.f64 B)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
00-0-(/.f64 F (sin.f64 B))
00-0-#s(literal 2 binary64)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-x
00-0-B
00-0-(sin.f64 B)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
pow.f64(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))oflow-rescue730
(*.f64 F F)overflow72
(*.f64 #s(literal 2 binary64) x)overflow1
(+.f64 (*.f64 F F) #s(literal 2 binary64))overflow72
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))overflow73
*.f64(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))n*o330
Confusion
Predicted +Predicted -
+540
-26176
Precision
0.675
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5400
-260176
Precision?
0.675
Recall?
1.0
Freqs
test
numberfreq
0176
154
226
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
122.0ms512×0valid
Compiler

Compiled 265 to 64 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-pow: 34.0ms (34.5% of total)
ival-tan: 15.0ms (15.2% of total)
ival-div: 14.0ms (14.2% of total)
ival-mult: 12.0ms (12.2% of total)
ival-sin: 12.0ms (12.2% of total)
ival-add: 7.0ms (7.1% of total)
ival-neg: 4.0ms (4.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess239.0ms (1.8%)

Memory
-3.5MiB live, 109.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081229
1209195
2538191
31197191
42806191
54494191
65054191
75344191
85458191
95466191
105472191
115800191
125936191
135936191
145936191
155936191
02024
03724
15821
29821
315021
421021
531421
646621
790821
8116021
9126021
10142921
11155221
12157221
0157219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Symmetry

(negabs B)

Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify55.0ms (0.4%)

Memory
-1.3MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020103
037103
15896
29896
315096
421096
531496
646696
790896
8116096
9126096
10142996
11155296
12157296
0157287
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(+.f64 (*.f64 F F) #s(literal 2 binary64))
(fma.f64 F F #s(literal 2 binary64))
(*.f64 F F)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)

localize62.0ms (0.5%)

Memory
7.2MiB live, 85.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.24609375
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy8.03777381475903
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
accuracy17.008369828316603
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
Samples
49.0ms256×0valid
Compiler

Compiled 119 to 22 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-tan: 7.0ms (19.9% of total)
ival-mult: 6.0ms (17% of total)
ival-sin: 6.0ms (17% of total)
ival-div: 5.0ms (14.2% of total)
ival-pow: 5.0ms (14.2% of total)
ival-add: 3.0ms (8.5% of total)
ival-neg: 2.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.4%)

Memory
-2.3MiB live, 36.3MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (patch (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
Outputs
#s(alt (/ x B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
B
@inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B)))
7.0ms
x
@inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B)))
4.0ms
x
@-inf
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B)))
4.0ms
F
@0
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B)))
3.0ms
x
@0
((/ 1 2) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (+ (* F F) 2) (* 2 x)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ 1 (tan B)))

simplify233.0ms (1.7%)

Memory
9.9MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04964202
114844010
253783926
085723585
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(+ 2 (* 2 x))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(sqrt (/ 1 (+ 2 (* 2 x))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B)))) (/ (* x (cos B)) (sin B)))
(- (+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B))))) (/ (* x (cos B)) (sin B)))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(/ 1 F)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F)
(/ 1 (sin B))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (/ 1 (sin B))))
(+ (* -1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (+ (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))) (/ 1 (sin B)))))
(* -1 (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (+ (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))
(pow F 2)
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
(/ -1 F)
(* -1 (/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) F))
(/ -1 (sin B))
(- (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B))))) (/ 1 (sin B)))
(- (+ (* 1/2 (/ (+ 2 (* 2 x)) (* (pow F 2) (sin B)))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (* (pow F 4) (sin B)))) (* 1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (* (pow F 6) (sin B)))))) (/ 1 (sin B)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* x (- (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (- (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))) (/ (cos B) (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ 2 (pow F 2))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(+ 2 (+ (* 2 x) (pow F 2)))
(sqrt (/ 1 (+ 2 (pow F 2))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* -1 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* 3/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))
(+ (sqrt (/ 1 (+ 2 (pow F 2)))) (* x (+ (* -1 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3)))) (* x (+ (* -5/2 (* x (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5)))))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2)))))
(+ (* -1 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* 3/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(+ (* x (+ (* -1 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 3))))) (* x (+ (* -5/2 (* (/ (* F x) (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 7))))) (* 3/2 (* (/ F (sin B)) (sqrt (/ 1 (pow (+ 2 (pow F 2)) 5))))))))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (pow F 2))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* 2 x)
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* x (+ 2 (+ (* 2 (/ 1 x)) (/ (pow F 2) x))))
(* (sqrt (/ 1 x)) (sqrt 1/2))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))) (sqrt 1/2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (+ 2 (pow F 2)) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ 2 (pow F 2)) 2) (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* 2 x)
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* -1 (* x (- (* -1 (/ (+ 2 (pow F 2)) x)) 2)))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2))))
(+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (sqrt -1/2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (sqrt -1/2))))) (pow x 3))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -1/2)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/2)))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
Outputs
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) B)) B x) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 B) (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 #s(literal -1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (*.f64 B B)) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F)) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 F F)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F (/.f64 F (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ 2 (+ (* 2 x) (pow F 2)))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(sqrt (/ 1 (+ 2 (* 2 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* -1/2 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(fma.f64 (pow.f64 F #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/16 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 F F #s(literal 2 binary64)))) (sin.f64 B)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 F (sin.f64 B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)))) (sin.f64 B)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 F (sin.f64 B))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))

rewrite187.0ms (1.4%)

Memory
-35.2MiB live, 164.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071
03767
112266
278966
0829658
Stop Event
iter limit
node limit
iter limit
Counts
7 → 360
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x))
(pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
Outputs
#s(literal 1/2 binary64)
(*.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 B) #s(literal -1 binary64))))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (pow.f64 (cos.f64 B) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x)
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)))
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (tan.f64 B))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 x (tan.f64 B)))
(/.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 x (tan.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B))) (fma.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))
(pow.f64 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))

eval74.0ms (0.5%)

Memory
15.6MiB live, 89.3MiB allocated
Compiler

Compiled 18 447 to 1 924 computations (89.6% saved)

prune94.0ms (0.7%)

Memory
12.4MiB live, 170.5MiB allocated
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New49026516
Fresh000
Picked101
Done000
Total49126517
Accuracy
100.0%
Counts
517 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.0%
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
87.0%
(fma.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
86.9%
(fma.f64 (*.f64 F (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (tan.f64 B)))
75.1%
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
59.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (tan.f64 B) x)) (/.f64 (sin.f64 B) F)) (*.f64 (/.f64 (sin.f64 B) F) (/.f64 (tan.f64 B) x)))
51.9%
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
79.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F)))
86.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F) (sin.f64 B)))
86.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F))))
79.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
49.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
79.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
48.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
56.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
58.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
64.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
47.3%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
79.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
52.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
58.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
39.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
39.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
40.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
31.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
57.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
Compiler

Compiled 1 268 to 886 computations (30.1% saved)

simplify135.0ms (1%)

Memory
3.1MiB live, 120.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (cos.f64 B))
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
cost-diff6784
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
cost-diff320
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
cost-diff0
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
cost-diff0
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
cost-diff0
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
cost-diff0
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063597
0104586
1177570
2290570
3528565
4908565
51442565
62470562
74574560
85722560
97157560
08105557
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(neg.f64 x)
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(*.f64 B B)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(neg.f64 (cos.f64 B))
(cos.f64 B)
B
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 F (sin.f64 B))
F
Outputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(-.f64 (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
x
#s(literal 2 binary64)
(fma.f64 F F #s(literal 2 binary64))
F
#s(literal -1/2 binary64)
(sin.f64 B)
B
(/.f64 (neg.f64 x) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(neg.f64 x)
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F)) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) F)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
F
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)
(fma.f64 (*.f64 #s(literal 1/6 binary64) F) (*.f64 B B) F)
(*.f64 B B)
(*.f64 #s(literal 1/6 binary64) F)
#s(literal 1/6 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sin.f64 B)))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 F F #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (cos.f64 B) x))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (neg.f64 F) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (cos.f64 B) x)))
(neg.f64 (cos.f64 B))
(cos.f64 B)
B
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 F (sin.f64 B)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 F (sin.f64 B))
F

localize214.0ms (1.6%)

Memory
-7.1MiB live, 311.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(/.f64 F (sin.f64 B))
accuracy0.1980413390345459
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
accuracy0.7973266551350559
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
accuracy20.916101731122577
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
accuracy0.22265625
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy4.985744590245308
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
accuracy11.428080623067242
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
accuracy12.066563569127558
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
accuracy4.8708474855234405
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
accuracy11.115025352097833
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
accuracy11.451518123067242
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy29.96808757659517
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
accuracy0.09375
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
accuracy0.2527288390345459
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
accuracy11.451518123067242
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy29.996927572676213
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
accuracy0.10546875
(/.f64 (neg.f64 x) (tan.f64 B))
accuracy0.1171875
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
accuracy0.3359375
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
accuracy11.674161167123835
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
Samples
123.0ms219×0valid
31.0ms37×0invalid
Compiler

Compiled 567 to 55 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 31.0ms (25.3% of total)
ival-pow: 19.0ms (15.5% of total)
ival-div: 17.0ms (13.9% of total)
ival-add: 17.0ms (13.9% of total)
ival-tan: 14.0ms (11.4% of total)
ival-sin: 6.0ms (4.9% of total)
ival-cos: 5.0ms (4.1% of total)
ival-sqrt: 5.0ms (4.1% of total)
const: 4.0ms (3.3% of total)
ival-neg: 4.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series126.0ms (0.9%)

Memory
19.3MiB live, 136.5MiB allocated
Counts
27 → 756
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) (patch (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) (patch (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))) #<representation binary64>) () ())
#s(alt (neg.f64 (cos.f64 B)) (patch (neg.f64 (cos.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) (tan.f64 B)) (patch (/.f64 (neg.f64 x) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)) (patch #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) (patch #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (patch (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 F (sin.f64 B)) (patch (/.f64 F (sin.f64 B)) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (patch (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor 0 B) (#s(alt (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B) (taylor 0 B) (#s(alt (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B) (taylor 0 B) (#s(alt (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B) (taylor 0 B) (#s(alt (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) (patch (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ x B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (taylor 0 B) (#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
12.0ms
F
@inf
((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt (/ 1 (+ (* F F) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B)))
9.0ms
F
@-inf
((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt (/ 1 (+ (* F F) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B)))
8.0ms
B
@-inf
((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt (/ 1 (+ (* F F) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B)))
8.0ms
x
@-inf
((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt (/ 1 (+ (* F F) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B)))
8.0ms
x
@0
((+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (+ (* x 2) (+ (* F F) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ 1 (tan B)) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (cos B)) (/ (neg x) (tan B)) (/ 1 (+ (* F F) (+ (* 2 x) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt (/ 1 (+ (* F F) 2))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B))) (/ F (sin B)))

simplify256.0ms (1.9%)

Memory
5.5MiB live, 276.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146923133
1477022706
0907620927
Stop Event
iter limit
node limit
Counts
756 → 756
Calls
Call 1
Inputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B)
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
-1
(- (* 1/2 (pow B 2)) 1)
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1)
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1)
(* -1 (/ x B))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B)
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (* 2 x)))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (* 2 x)))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (* 2 x)))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (* 2 x))))))))))) B)
(/ F B)
(/ (+ F (* 1/6 (* (pow B 2) F))) B)
(/ (+ F (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(/ (+ F (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1/6 F)))) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* 1/6 (* (* B F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
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(* -1 (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (/ (* x (cos B)) (sin B)))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (/ F (pow B 2)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(/ F (sin B))
(/ F (sin B))
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(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
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(+ (* -1 (/ (* x (cos B)) (sin B))) (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))
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(/ 1 (* F (sin B)))
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(/ 1 F)
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(pow F 2)
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(* (pow F 2) (+ 1 (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))))
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(/ (- 1 x) B)
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(- 1 x)
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(- (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (+ (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))) (* -1/2 (/ (+ (* 1/2 (* (+ 2 (* 2 x)) (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))))) (pow (+ 2 (* 2 x)) 3)) (pow F 6)))))) x)
(/ 1 F)
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(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* -1/2 (/ (+ (* -1 (pow (+ 2 (* 2 x)) 2)) (* 1/4 (pow (+ 2 (* 2 x)) 2))) (pow F 4))))) F)
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(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
Outputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x))))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x)))))))))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/45 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) F (fma.f64 #s(literal 1/720 binary64) F (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(* (/ 1 B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* 1/6 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) B)
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 B B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 7/360 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 7/360 binary64) (*.f64 B B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))))) B)
(/ (+ (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (* (pow B 2) (+ (* 1/6 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 31/15120 (* (pow B 2) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 7/360 (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 31/15120 binary64) (*.f64 B B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 7/360 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64))))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/45 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) F (fma.f64 #s(literal 1/720 binary64) F (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/45 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) F (fma.f64 #s(literal 1/720 binary64) F (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 B B) x) #s(literal 1/3 binary64)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
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(* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
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(sqrt (/ 1 (+ 2 (* 2 x))))
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(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
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(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ 2 (* 2 x))
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(+ 2 (+ (* 2 x) (pow F 2)))
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(* -1 (/ (* x (cos B)) (sin B)))
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(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
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(* -1 (/ x B))
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(* -1 x)
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt (/ 1 (+ 2 (* 2 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* (pow F 2) (+ (* -5/16 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64) F) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))) F)
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
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(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(* -1 (/ (* x (cos B)) (sin B)))
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(* -1 (/ (* x (cos B)) (sin B)))
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(* -1 (/ (* x (cos B)) (sin B)))
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(/ 1 (+ 2 (* 2 x)))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(* (* F (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (+ 2 (* 2 x)))))
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(* F (+ (* -1/2 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x)))))))
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(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
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(* F (+ (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (+ 1 (* 1/6 (pow B 2))) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(sqrt (/ 1 (+ 2 (* 2 x))))
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 F F)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 3/8 binary64))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 F F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(sqrt 1/2)
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(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))

rewrite230.0ms (1.7%)

Memory
15.3MiB live, 243.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063448
0104428
1409389
23217389
08331389
Stop Event
iter limit
node limit
iter limit
Counts
27 → 912
Calls
Call 1
Inputs
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))))
(neg.f64 (cos.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F))
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
(/.f64 F (sin.f64 B))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) (-.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (neg.f64 (tan.f64 B)) (*.f64 (sin.f64 B) x))) (neg.f64 (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 (tan.f64 B)) x) (*.f64 (sin.f64 B) #s(literal 1 binary64)))) (neg.f64 (*.f64 (sin.f64 B) (/.f64 (neg.f64 (tan.f64 B)) x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x)))) (neg.f64 (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (neg.f64 (fma.f64 x (sin.f64 B) (*.f64 (neg.f64 (tan.f64 B)) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (neg.f64 (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (sin.f64 B) (*.f64 (/.f64 (neg.f64 (tan.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (neg.f64 (*.f64 (/.f64 (neg.f64 (tan.f64 B)) x) (sin.f64 B))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (*.f64 (tan.f64 B) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))))) (neg.f64 (*.f64 (tan.f64 B) (sin.f64 B))))
(/.f64 (-.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64))) F) (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 F)) (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (*.f64 F (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (neg.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (cos.f64 B) (neg.f64 x))) (neg.f64 (sin.f64 B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (fma.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))))
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(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (neg.f64 (tan.f64 B)) x) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (neg.f64 (tan.f64 B)) x)))
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(fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) F (/.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(fma.f64 F (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 B B) F) #s(literal 1/6 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))))
#s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 F F #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 F F #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 F F #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 F #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 F #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 F F) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 F F #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 F (/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sin.f64 B)))
(*.f64 F (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 (sin.f64 B) (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (/.f64 (sin.f64 B) F)))
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 F))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (sin.f64 B) F)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 (neg.f64 F) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (/.f64 (sin.f64 B) F))
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 F)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 B) F))
(/.f64 (neg.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (sin.f64 B) F)))
(/.f64 (neg.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F))))
(/.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 (sin.f64 B) F))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal -1/2 binary64))) F)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 F (sin.f64 B)))
(*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 F (pow.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (sin.f64 B) F)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 F))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (/.f64 F (sin.f64 B)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 F))) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 F) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) F)) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 F #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (*.f64 (neg.f64 F) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 F)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (/.f64 F (sin.f64 B)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (sin.f64 B) F)))
(/.f64 (neg.f64 (/.f64 F (sin.f64 B))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 F)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 #s(literal 1 binary64) F) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 F) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (sin.f64 B) F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 B) F))
(/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (/.f64 (sin.f64 B) F)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 B) F) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 F #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) F)
(*.f64 (neg.f64 F) (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 B)))
(*.f64 F (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 B) F) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 F))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 F #s(literal 1 binary64))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (neg.f64 F)) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 F #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (neg.f64 F) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) F)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) F) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) F))
(/.f64 F (sin.f64 B))
(neg.f64 (/.f64 (neg.f64 F) (sin.f64 B)))
(neg.f64 (/.f64 F (neg.f64 (sin.f64 B))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) F)) #s(literal -1 binary64)))

eval348.0ms (2.6%)

Memory
-11.1MiB live, 548.7MiB allocated
Compiler

Compiled 66 271 to 6 084 computations (90.8% saved)

prune357.0ms (2.6%)

Memory
10.6MiB live, 557.9MiB allocated
Pruning

51 alts after pruning (51 fresh and 0 done)

PrunedKeptTotal
New1 953461 999
Fresh16521
Picked505
Done000
Total1 974512 025
Accuracy
100.0%
Counts
2 025 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
56.8%
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
44.1%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) F)) F (/.f64 (neg.f64 x) (tan.f64 B)))
72.5%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
53.6%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
56.8%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
75.1%
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
86.9%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
59.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (tan.f64 B) x)) (/.f64 (sin.f64 B) F)) (*.f64 (/.f64 (sin.f64 B) F) (/.f64 (tan.f64 B) x)))
79.1%
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
48.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
49.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
57.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) #s(approx (sqrt (/ 1 (+ (* F F) 2))) (sqrt.f64 #s(literal 1/2 binary64))))))
64.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
22.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
30.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
32.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
56.4%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
58.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
25.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
39.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
40.1%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
35.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
40.5%
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B))
40.8%
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
31.6%
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
57.3%
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
47.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B)))))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
40.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
25.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
24.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
24.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
20.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
22.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
24.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
17.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
25.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
52.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B))))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
22.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
17.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
25.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
18.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
Compiler

Compiled 2 044 to 1 528 computations (25.2% saved)

simplify133.0ms (1%)

Memory
13.3MiB live, 145.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
cost-diff0
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
cost-diff256
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
cost-diff0
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
cost-diff0
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072525
0103508
1163490
2260490
3467475
4813475
52140475
66106475
08066475
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
B
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
B
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)
Outputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
B
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1/2 binary64) F)
#s(literal 1/2 binary64)
F
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (sin.f64 B)) F)))
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (sin.f64 B)) F))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (sin.f64 B)) F)
(/.f64 F (sin.f64 B))
F
(sin.f64 B)
B
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
x
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
#s(literal -1 binary64)
(sin.f64 B)

localize216.0ms (1.6%)

Memory
-28.9MiB live, 253.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(/.f64 #s(literal -1 binary64) (sin.f64 B))
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.22265625
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy41.091400004625214
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
accuracy0.1980413390345459
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
accuracy0.7973266551350559
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
accuracy20.916101731122577
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
accuracy22.344318439399288
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
accuracy0.046875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
accuracy0.08822250976844201
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
accuracy29.996927572676213
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
accuracy36.91107553361996
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
accuracy0
(neg.f64 x)
accuracy0.046875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
accuracy26.883564304916707
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
accuracy29.996927572676213
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
accuracy0.09765625
(*.f64 (cos.f64 B) x)
accuracy0.171875
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
accuracy0.2109375
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy11.634224725401001
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
146.0ms219×0valid
18.0ms37×0invalid
Compiler

Compiled 424 to 53 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-div: 43.0ms (30.3% of total)
ival-sub: 35.0ms (24.7% of total)
ival-mult: 19.0ms (13.4% of total)
ival-add: 14.0ms (9.9% of total)
ival-cos: 6.0ms (4.2% of total)
ival-pow: 6.0ms (4.2% of total)
ival-sin: 5.0ms (3.5% of total)
ival-tan: 5.0ms (3.5% of total)
ival-sqrt: 5.0ms (3.5% of total)
ival-neg: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (0.7%)

Memory
29.0MiB live, 103.8MiB allocated
Counts
23 → 636
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (patch (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))) #<representation binary64>) () ())
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Outputs
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#s(alt (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x) (taylor 0 B) (#s(alt (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (patch (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
9.0ms
F
@-inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* (cos B) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)))
5.0ms
x
@-inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* (cos B) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)))
4.0ms
x
@inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* (cos B) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)))
4.0ms
B
@-inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* (cos B) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)))
4.0ms
B
@inf
((/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg x) (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/ 1 (+ (* 2 x) 2)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* (cos B) x) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)))

simplify351.0ms (2.6%)

Memory
-20.9MiB live, 336.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113817776
1363017292
0815715860
Stop Event
iter limit
node limit
Counts
636 → 634
Calls
Call 1
Inputs
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
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x
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(* -1 x)
(* x (- (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))) 1))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3))))) 1))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (sqrt 1/2)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (* (* F (sqrt 1/2)) (sqrt (/ 1 (pow x 3)))))) 1))
(/ 1/2 x)
(/ (- 1/2 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x)
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))))
(* x (+ (* -1 (/ (cos B) (sin B))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))))))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ 1/2 (* 1/16 (/ x (pow (sqrt 1/2) 2))))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ F (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B))))
(* x (- (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 (pow x 3)))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1/2 (* (/ (* F (+ (* 1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt 1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3)))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/8 (* (/ (* F (+ 2 (pow F 2))) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (pow (+ 2 (pow F 2)) 2)) (* (sin B) (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (sqrt 1/2)) (sin B)) (sqrt (/ 1 x))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (cos B)))
(* -1 (* x (- (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* -1 (cos B)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)) (* -1 (cos B)))))
(* -1 (* x (- (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)) (* -1 (cos B)))))
(* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (sqrt -1/2)) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (sqrt -1) (pow (+ 2 (pow F 2)) 3)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* (sqrt -1) (+ 2 (pow F 2))) (sqrt -2)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (- 1 (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ 1 (pow F 2)) 1) x))) (/ 1 (pow F 2)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ x B))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 (pow x 3))))) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x)))) x)) (/ 1 B))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) B) (sqrt (/ 1 x))))) x)) (/ 1 B))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (sqrt -1/2)) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (sqrt -1/2)) (sqrt (/ 1 (pow x 5))))) (* (* F (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 x))))) x)))))
(/ 1/2 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
Outputs
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) (*.f64 B B) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) (+ (* -1/5040 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))) (* 1/120 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x)))))) (* -1/6 (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x))))) x) B)
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(fma.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ 1/2 (* -1/16 (/ x (pow (sqrt -1/2) 2)))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/4 (* (/ (* F (sqrt -1)) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sin.f64 B)))) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1/16 binary64) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sin.f64 B))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* x (cos B))
(*.f64 (cos.f64 B) x)
(* x (cos B))
(*.f64 (cos.f64 B) x)
(* x (cos B))
(*.f64 (cos.f64 B) x)
(* x (cos B))
(*.f64 (cos.f64 B) x)
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) F) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))))

rewrite186.0ms (1.4%)

Memory
19.2MiB live, 139.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072452
0103411
1398384
23147384
08318384
Stop Event
iter limit
node limit
iter limit
Counts
23 → 517
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))
(*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(*.f64 (cos.f64 B) x)
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
Outputs
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (fma.f64 (pow.f64 F #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (*.f64 F F) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)))
(*.f64 (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (-.f64 (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 (sin.f64 B) F) #s(literal -3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 (cos.f64 B)) x (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 x (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (neg.f64 (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(-.f64 (+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))) (/.f64 (pow.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(+.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (sin.f64 B)) #s(literal -1 binary64)) (cos.f64 B))
(*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x)
(*.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)))
(*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))
(*.f64 x (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (neg.f64 (cos.f64 B))))
(*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(pow.f64 (/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (cos.f64 B)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) (neg.f64 (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 B)) (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 B)) #s(literal 1 binary64))) (neg.f64 (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 B)) x))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 B))) (neg.f64 (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B))) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (neg.f64 (cos.f64 B)) (neg.f64 x)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 (cos.f64 B)) #s(literal 1 binary64)) (/.f64 (sin.f64 B) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 B)) x)) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (tan.f64 B)))
(/.f64 (*.f64 (neg.f64 (cos.f64 B)) x) (sin.f64 B))
(/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) x))))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) x)))
(/.f64 x (neg.f64 (tan.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (cos.f64 B))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))
(pow.f64 (*.f64 (tan.f64 B) (tan.f64 B)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(pow.f64 (/.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))
(neg.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)))

eval368.0ms (2.7%)

Memory
2.1MiB live, 151.8MiB allocated
Compiler

Compiled 31 644 to 3 471 computations (89% saved)

prune340.0ms (2.5%)

Memory
14.6MiB live, 220.4MiB allocated
Pruning

68 alts after pruning (67 fresh and 1 done)

PrunedKeptTotal
New1 115361 151
Fresh153146
Picked415
Done000
Total1 134681 202
Accuracy
100.0%
Counts
1 202 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
58.0%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
44.1%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) F)) F (/.f64 (neg.f64 x) (tan.f64 B)))
72.5%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
53.6%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
56.8%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
75.1%
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
43.9%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x))) (sin.f64 B))
44.3%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
52.6%
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
59.9%
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (tan.f64 B) x)) (/.f64 (sin.f64 B) F)) (*.f64 (/.f64 (sin.f64 B) F) (/.f64 (tan.f64 B) x)))
52.6%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
56.4%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.0%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.5%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
31.9%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
57.4%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
58.0%
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
58.0%
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
48.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
49.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
64.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
22.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
30.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
32.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
25.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
55.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
27.5%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
39.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
40.1%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
33.5%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
27.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
40.8%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
31.6%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
57.3%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
47.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B)))))
40.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
40.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
25.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
24.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
22.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
22.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
24.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
17.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
25.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
8.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
2.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
13.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
20.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
25.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
22.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
17.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
25.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
18.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
11.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
11.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
Compiler

Compiled 2 464 to 1 907 computations (22.6% saved)

simplify181.0ms (1.3%)

Memory
-2.1MiB live, 81.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff512
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff0
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff128
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
cost-diff320
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
cost-diff384
(fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
cost-diff0
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
cost-diff0
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x)))
cost-diff13440
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081724
0123703
1213680
2403680
3942664
42695658
56921658
08245654
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(tan.f64 B)
B
(*.f64 (sin.f64 B) (neg.f64 x))
(sin.f64 B)
(neg.f64 x)
(*.f64 (sin.f64 B) (tan.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) F)
#s(literal -1/2 binary64)
F
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) B)
#s(literal -1 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 F F)
F
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 B B)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) B)
Outputs
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
(-.f64 (/.f64 F (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x)))
(fma.f64 (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (*.f64 (neg.f64 x) (sin.f64 B)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))
F
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))
#s(literal 2 binary64)
x
(fma.f64 F F #s(literal 2 binary64))
(tan.f64 B)
B
(*.f64 (sin.f64 B) (neg.f64 x))
(*.f64 (neg.f64 x) (sin.f64 B))
(sin.f64 B)
(neg.f64 x)
(*.f64 (sin.f64 B) (tan.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) F) F))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) F) F))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) F) F)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) F) F))
(/.f64 #s(literal -1/2 binary64) F)
#s(literal -1/2 binary64)
F
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
(/.f64 #s(literal -1 binary64) B)
#s(literal -1 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) B) (/.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) F) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) B) (/.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) F) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) B) (/.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) F) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) B) (/.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F) F) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))
(*.f64 (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) B) F) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) F))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 F F)
F
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)
(fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))
(fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 B B)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))
(/.f64 #s(literal 1 binary64) B)

localize263.0ms (1.9%)

Memory
-16.5MiB live, 141.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy8.664569898900883
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))
accuracy16.35871004630485
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
accuracy34.59023683346758
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
accuracy47.450067041799755
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))
accuracy0.1640625
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.24609375
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy34.649137769586794
#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
accuracy45.84118181425147
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
accuracy0.046875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)
accuracy0.08822250976844201
(fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))
accuracy34.618792559856644
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
accuracy37.329417141194156
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)))
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0.046875
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
accuracy26.66667063786709
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
accuracy34.618792559856644
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
accuracy0.185878759768442
(*.f64 (sin.f64 B) (tan.f64 B))
accuracy0.2109375
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
accuracy9.2425471797784
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
accuracy16.954492692631067
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
Samples
178.0ms256×0valid
Compiler

Compiled 543 to 67 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-div: 40.0ms (30.2% of total)
ival-mult: 25.0ms (18.9% of total)
ival-neg: 25.0ms (18.9% of total)
ival-add: 15.0ms (11.3% of total)
ival-tan: 6.0ms (4.5% of total)
ival-pow: 6.0ms (4.5% of total)
ival-sin: 5.0ms (3.8% of total)
const: 4.0ms (3% of total)
ival-sqrt: 3.0ms (2.3% of total)
ival-sub: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series151.0ms (1.1%)

Memory
15.1MiB live, 170.6MiB allocated
Counts
25 → 696
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) (patch (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (patch (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (patch (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B) (patch (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))) (patch (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))) (patch (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 B) (tan.f64 B)) (patch (*.f64 (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (patch #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) (patch #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))) (patch #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))) (patch #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (patch (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (patch (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #<representation binary64>) () ())
Outputs
#s(alt (/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) (patch (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) (patch (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) (patch (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 173/5040 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) (* 1/6 (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B) (taylor 0 B) (#s(alt (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) (patch (/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* B (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (taylor 0 B) (#s(alt (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (patch (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) (taylor 0 B) (#s(alt (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (patch (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (taylor 0 B) (#s(alt (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (patch (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))))))))) (taylor 0 B) (#s(alt (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (patch (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B) (taylor 0 B) (#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
46.0ms
F
@0
((/ (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (* (sin B) (tan B))) (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)) -1/2) (+ (* 1/6 B) (/ 1 B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (sin B) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* 1/6 (* B B)) 1) B) (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)))
11.0ms
x
@inf
((/ (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (* (sin B) (tan B))) (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)) -1/2) (+ (* 1/6 B) (/ 1 B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (sin B) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* 1/6 (* B B)) 1) B) (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)))
7.0ms
B
@inf
((/ (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (* (sin B) (tan B))) (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)) -1/2) (+ (* 1/6 B) (/ 1 B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (sin B) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* 1/6 (* B B)) 1) B) (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)))
7.0ms
B
@-inf
((/ (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (* (sin B) (tan B))) (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)) -1/2) (+ (* 1/6 B) (/ 1 B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (sin B) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* 1/6 (* B B)) 1) B) (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)))
6.0ms
B
@0
((/ (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (* (sin B) (tan B))) (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (sqrt (+ (* 2 x) (+ (* F F) 2))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (- -1 x) (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (+ (* (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)) -1/2) (+ (* 1/6 B) (/ 1 B))) (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (* (sin B) (tan B)) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ -1 (sin B)) (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/ (+ (* 1/6 (* B B)) 1) B) (* (/ (+ (* 2 x) 2) (* F F)) (/ (+ (* 1/6 (* B B)) 1) B)))

simplify273.0ms (2%)

Memory
-5.7MiB live, 364.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133022000
1450221719
0862720025
Stop Event
iter limit
node limit
Counts
696 → 695
Calls
Call 1
Inputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 173/5040 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) (* 1/6 (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(* B (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))))))
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))))))
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (+ 1 (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2)))) B)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* (pow B 2) (+ 1/6 (* -1/12 (/ (+ 2 (* 2 x)) (pow F 2))))))) B)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* (pow B 2) (+ 1/6 (* -1/12 (/ (+ 2 (* 2 x)) (pow F 2))))))) B)
(/ (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 x)) (pow F 2))) (* (pow B 2) (+ 1/6 (* -1/12 (/ (+ 2 (* 2 x)) (pow F 2))))))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(pow B 2)
(* (pow B 2) (+ 1 (* 1/6 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2))))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/ -1 B)
(/ (- (* -1/6 (pow B 2)) 1) B)
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B)
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(* (/ F B) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))
(/ (+ (* 1/6 (* (* (pow B 2) F) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* -1 (* (* (pow B 2) (+ (* -1/36 F) (* 1/120 F))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) B)
(/ (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (* -1 (* (* (pow B 2) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F)))))) (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 2 (* 2 x)) (* B (pow F 2)))
(/ (+ (* 1/6 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) B)
(/ (+ (* 1/6 (/ (* (pow B 2) (+ 2 (* 2 x))) (pow F 2))) (+ (* 2 (/ x (pow F 2))) (* 2 (/ 1 (pow F 2))))) B)
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(* 2 (/ (* x (+ 1 (* 1/6 (pow B 2)))) (* B (pow F 2))))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
Outputs
(/ (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal -1/6 binary64)))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 31/360 binary64)))) (*.f64 B B) (*.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 1/6 binary64)))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(/ (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (- (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (- (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 173/5040 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))) (* 1/6 (- (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))))))) (+ (* 31/360 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (- (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))) (* 1/6 (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))) B)
(/.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/120 binary64) x (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 17/315 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/5040 binary64) x)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 173/5040 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 31/360 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal 31/360 binary64) (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal -1/6 binary64)))))))) (*.f64 B B) (*.f64 (*.f64 #s(literal 2/15 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal -1/6 binary64)))) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 31/360 binary64))))) (*.f64 B B)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) #s(literal 1/6 binary64))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(* B (+ (* -1 x) (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))
(*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))))))))))))
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 2/15 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) x)) (*.f64 B B)))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(* B (+ (* -1 x) (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 x) (+ (* 1/3 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* -1/120 x) (+ (* 2/15 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* (pow B 2) (+ (* 1/5040 x) (* 17/315 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))))))))))))))
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x (fma.f64 (*.f64 #s(literal 1/3 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/120 binary64) x (fma.f64 (*.f64 #s(literal 2/15 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 17/315 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/5040 binary64) x)) (*.f64 B B)))) (*.f64 B B)))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F)) x) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F) (fma.f64 (fma.f64 (neg.f64 (*.f64 F #s(literal -7/360 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/45 binary64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 (fma.f64 #s(literal -1/5040 binary64) F (fma.f64 #s(literal 1/720 binary64) F (*.f64 (*.f64 F #s(literal -7/360 binary64)) #s(literal 1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B)))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (neg.f64 x)) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (* 1/3 x)))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (*.f64 F #s(literal -7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B)
(/ (- (+ (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) (* (pow B 2) (+ (* 1/6 (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))))) (+ (* 1/3 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/36 F) (* 1/120 F)))) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1 (* (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2))))) (+ (* -1/5040 F) (+ (* 1/720 F) (* 1/6 (+ (* -1/36 F) (* 1/120 F))))))) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
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(/ (- (* F (sqrt (/ 1 (+ 2 (+ (* 2 x) (pow F 2)))))) x) B)
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(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
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(* -1 x)
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(- (* F (+ (sqrt (/ 1 (+ 2 (* 2 x)))) (* (pow F 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3)))) (* 3/8 (* (pow F 2) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) x)
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(* -1 (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
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(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
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(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
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(* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2))))
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(/ (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) B)) (* (pow F 2) (+ (* 1/6 B) (/ 1 B)))) (pow F 2))
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(/ (+ (* -1/2 (/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) B)) (* (pow F 2) (+ (* 1/6 B) (/ 1 B)))) (pow F 2))
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(* -1 (/ (* x (cos B)) (sin B)))
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(- (* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (/ (* x (cos B)) (sin B)))
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(- (* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))))) (/ (* x (cos B)) (sin B)))
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(- (* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5))))))))) (/ (* x (cos B)) (sin B)))
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(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
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(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
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(* (/ (* F (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (*.f64 F (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))
(* F (+ (* -1/2 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) F)
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64))))) #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) F)
(* F (+ (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (* (pow F 2) (+ 1 (* 1/6 (pow B 2)))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ (+ 1 (* 1/6 (pow B 2))) B) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 F F) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64))))) #s(literal -5/16 binary64) (*.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))))) (*.f64 F F) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 F F) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))) F)
(* (/ F (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 F (sin.f64 B)))
(* F (+ (* -1/2 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x)))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* 3/8 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 (*.f64 F F) (sin.f64 B))) #s(literal 3/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(* F (+ (* (/ 1 (sin B)) (sqrt (/ 1 (+ 2 (* 2 x))))) (* (pow F 2) (+ (* -1/2 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 3))))) (* (pow F 2) (+ (* -5/16 (* (/ (pow F 2) (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 7))))) (* 3/8 (* (/ 1 (sin B)) (sqrt (/ 1 (pow (+ 2 (* 2 x)) 5)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 5 binary64)))) (sin.f64 B)) #s(literal 3/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 7 binary64)))) (*.f64 F F)) (sin.f64 B)) #s(literal -5/16 binary64))) (*.f64 F F) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (sin.f64 B)) #s(literal -1/2 binary64))) (*.f64 F F) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (sin.f64 B))) F)
(/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))
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(/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))
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(/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))
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(/ (* (+ 1 (* 1/6 (pow B 2))) (+ 2 (* 2 x))) (* B (pow F 2)))
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(*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 B (*.f64 F F)) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B (*.f64 F F)))) (/.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 F F))) x)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(* -1 (* x (+ (* -1 (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 (pow x 3))))) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))) x)) (/ (cos B) (sin B)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(* -1 (* x (+ (* -1 (/ (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))) x)) (/ (cos B) (sin B)))))
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(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
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(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
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(* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* (sqrt -1) (* (pow (+ 2 (pow F 2)) 2) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* (sqrt -1) (* (+ F (* 1/6 (* (pow B 2) F))) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* B (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* (sqrt -1) (* (+ 2 (pow F 2)) (+ F (* 1/6 (* (pow B 2) F))))) (* B (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* (sqrt -1) (* (sqrt -1/2) (+ F (* 1/6 (* (pow B 2) F))))) B) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 F F #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) B) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) F)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) B))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 3 binary64))))
(* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))
(*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (* -1/16 (* (/ (* F (* (sqrt -1) (pow (+ 2 (pow F 2)) 2))) (* (sin B) (sqrt -1/2))) (sqrt x))) (* 1/2 (* (/ (* F (* (sqrt -1) (+ (* -1/64 (/ (* x (pow (+ 2 (pow F 2)) 2)) (pow (sqrt -1/2) 2))) (* 1/16 (pow (+ 2 (pow F 2)) 3))))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 x))))) (pow x 3))) (+ (* -1/8 (* (/ (* F (* (sqrt -1) (+ 2 (pow F 2)))) (* (sin B) (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* F (* (sqrt -1) (sqrt -1/2))) (sin B)) (sqrt (/ 1 x)))))
(-.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 F F #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1/64 binary64) (*.f64 (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (sin.f64 B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 F (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 F F #s(literal 2 binary64)) #s(literal 2 binary64))) (sin.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1/16 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* 2 (/ (* x (+ 1 (* 1/6 (pow B 2)))) (* B (pow F 2))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 F F)) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) x) B))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 (*.f64 F F) x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 F F)))))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 (*.f64 F F) x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 F F)))))
(* -1 (* x (+ (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (* (pow F 2) x)))) (* -2 (/ (+ 1 (* 1/6 (pow B 2))) (* B (pow F 2)))))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 (*.f64 F F) x)) (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B) (*.f64 F F)))))

rewrite242.0ms (1.8%)

Memory
7.5MiB live, 354.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081605
0123560
1533541
24326541
08527541
Stop Event
iter limit
node limit
iter limit
Counts
25 → 417
Calls
Call 1
Inputs
(/.f64 (fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B)))
(fma.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x)))
(/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
(/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B)
#s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(*.f64 (sin.f64 B) (tan.f64 B))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B)))
#s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))
#s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))
#s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (/.f64 (tan.f64 B) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (tan.f64 B)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (pow.f64 (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (sin.f64 B) (tan.f64 B))))
(*.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (tan.f64 B)))
(pow.f64 (/.f64 (tan.f64 B) (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (tan.f64 B)) (sin.f64 B))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (tan.f64 B))) (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (tan.f64 B))) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) #s(literal 1 binary64)) (*.f64 (sin.f64 B) (tan.f64 B)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))) (neg.f64 (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B)) (tan.f64 B))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (sin.f64 B) (tan.f64 B)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))))) (*.f64 (sin.f64 B) (tan.f64 B))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (*.f64 (neg.f64 (tan.f64 B)) (sin.f64 B))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (neg.f64 (sin.f64 B)) x (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x)) (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -3/2 binary64)) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (-.f64 (*.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (*.f64 (tan.f64 B) F) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 B) F) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 F (/.f64 (tan.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (sin.f64 B) x))))
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(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) F)
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) #s(literal 1 binary64)) (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (neg.f64 B))
(/.f64 (*.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (neg.f64 F) F))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (neg.f64 B))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 F F) B)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 (neg.f64 B) (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 B) (*.f64 F F)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) (*.f64 (neg.f64 B) F))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 B) (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)) (*.f64 B F))
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 B (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 F F)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 F) F) (neg.f64 B)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 F) F) B))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 F) F) (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 F F) (neg.f64 B)))
(/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 F F) (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 F (neg.f64 B)))
(/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 F B))
(/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) #s(literal 1 binary64)) (*.f64 F (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (neg.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B))
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 F F))
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) B)
(/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 F F) B))
(/.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) F))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 B (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (/.f64 F (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)))))

eval246.0ms (1.8%)

Memory
-6.7MiB live, 432.6MiB allocated
Compiler

Compiled 42 554 to 3 715 computations (91.3% saved)

prune235.0ms (1.7%)

Memory
-6.9MiB live, 590.5MiB allocated
Pruning

79 alts after pruning (77 fresh and 2 done)

PrunedKeptTotal
New1 188241 212
Fresh95362
Picked415
Done011
Total1 201791 280
Accuracy
100.0%
Counts
1 280 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
58.0%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
55.2%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
44.1%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 (sin.f64 B) (*.f64 F F))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) F)) F (/.f64 (neg.f64 x) (tan.f64 B)))
72.5%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
53.6%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
56.8%
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
43.9%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x))) (sin.f64 B))
44.3%
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
52.6%
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
52.6%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
56.4%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.0%
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
58.5%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
31.9%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
57.4%
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
25.1%
(/.f64 #s(approx (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 B) F) (cos.f64 B)))) (*.f64 (sin.f64 B) (tan.f64 B)))
53.2%
(/.f64 #s(approx (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (*.f64 (neg.f64 x) (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
58.0%
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
55.3%
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
55.2%
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
55.2%
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
49.1%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
64.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
32.8%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
20.3%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
20.8%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
25.6%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
27.5%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
25.8%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
39.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
21.1%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
26.0%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
25.8%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
26.0%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
40.1%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
33.5%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
21.8%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
27.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
25.7%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
40.8%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
31.6%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
57.3%
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
40.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
25.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
24.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
7.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
4.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
22.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
24.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
17.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
25.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
9.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
8.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
13.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
20.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
11.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 F F)))) B))
10.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
6.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
17.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
40.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
25.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
26.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
22.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
25.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
18.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
18.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
20.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
11.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
11.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
12.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
Compiler

Compiled 4 204 to 1 769 computations (57.9% saved)

regimes275.0ms (2%)

Memory
10.2MiB live, 361.6MiB allocated
Counts
133 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
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(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (tan.f64 B) x)) (/.f64 (sin.f64 B) F)) (*.f64 (/.f64 (sin.f64 B) F) (/.f64 (tan.f64 B) x)))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

4 calls:

146.0ms
F
42.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
41.0ms
B
37.0ms
x
Results
AccuracySegmentsBranch
99.7%3F
87.0%1B
87.0%1x
89.0%2(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes55.0ms (0.4%)

Memory
-16.5MiB live, 73.2MiB allocated
Counts
116 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
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(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) #s(approx (sqrt (/ 1 (+ (* F F) 2))) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B)))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (*.f64 (neg.f64 x) (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

36.0ms
F
Results
AccuracySegmentsBranch
99.7%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes42.0ms (0.3%)

Memory
17.8MiB live, 55.3MiB allocated
Counts
114 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
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(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) #s(approx (sqrt (/ 1 (+ (* F F) 2))) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) #s(approx (/ F (sin B)) (/.f64 F B)))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (+ (* (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (tan B)) (* (sin B) (neg x))) (*.f64 (neg.f64 x) (sin.f64 B))) (*.f64 (sin.f64 B) (tan.f64 B)))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

34.0ms
F
Results
AccuracySegmentsBranch
99.6%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes78.0ms (0.6%)

Memory
-15.9MiB live, 59.6MiB allocated
Counts
109 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
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(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) #s(approx (sqrt (/ 1 (+ (* F F) 2))) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B))))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

66.0ms
F
Results
AccuracySegmentsBranch
99.1%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes44.0ms (0.3%)

Memory
6.4MiB live, 47.7MiB allocated
Counts
108 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
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(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) #s(approx (sqrt (/ 1 (+ (* F F) 2))) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

37.0ms
F
Results
AccuracySegmentsBranch
99.0%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes41.0ms (0.3%)

Memory
15.7MiB live, 52.5MiB allocated
Counts
107 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
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(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
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(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (/.f64 #s(literal 1 binary64) F))))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

34.0ms
F
Results
AccuracySegmentsBranch
99.0%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes61.0ms (0.5%)

Memory
-2.6MiB live, 33.7MiB allocated
Counts
104 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
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#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
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(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) F))) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(approx (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (/.f64 #s(literal -1 binary64) F)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F #s(approx (/ (neg x) (tan B)) (/.f64 (neg.f64 x) B)))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

54.0ms
F
Results
AccuracySegmentsBranch
92.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes37.0ms (0.3%)

Memory
5.7MiB live, 40.9MiB allocated
Counts
95 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
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(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

1 calls:

31.0ms
F
Results
AccuracySegmentsBranch
92.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes128.0ms (0.9%)

Memory
5.9MiB live, 214.6MiB allocated
Counts
94 → 2
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
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#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x))) (sin.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Outputs
(/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal -1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
Calls

4 calls:

32.0ms
F
32.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
28.0ms
B
28.0ms
x
Results
AccuracySegmentsBranch
82.8%3x
74.3%2B
82.7%4(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
82.7%2F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes67.0ms (0.5%)

Memory
-17.8MiB live, 96.9MiB allocated
Counts
93 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 7/360 binary64) F) (*.f64 (*.f64 (*.f64 F #s(literal -31/15120 binary64)) B) B))))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (*.f64 F #s(literal 7/360 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 B B) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (*.f64 B (*.f64 (neg.f64 F) F))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) (*.f64 (/.f64 F (sin.f64 B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (neg.f64 (cos.f64 B)) x)) (sin.f64 B))
Outputs
(fma.f64 #s(approx (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) B)) F (/.f64 (neg.f64 x) (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
Calls

2 calls:

28.0ms
F
27.0ms
x
Results
AccuracySegmentsBranch
82.8%3x
77.9%3F
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes50.0ms (0.4%)

Memory
-15.1MiB live, 40.6MiB allocated
Counts
77 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) #s(approx (* (cos B) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 B B) x) x))) (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 #s(approx (/ F (sin B)) (/.f64 F B)) #s(approx (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))))))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) (sin.f64 B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
Calls

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
82.3%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes95.0ms (0.7%)

Memory
24.5MiB live, 137.7MiB allocated
Counts
73 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
(/.f64 #s(approx (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) (sin.f64 B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
Calls

4 calls:

24.0ms
x
23.0ms
B
22.0ms
F
20.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
Results
AccuracySegmentsBranch
70.1%2B
65.7%6F
66.5%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
75.3%3x
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes31.0ms (0.2%)

Memory
3.1MiB live, 44.5MiB allocated
Counts
72 → 4
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal -1/6 binary64) (*.f64 B B) #s(literal -1 binary64))) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(approx (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B)))
Outputs
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
Calls

1 calls:

25.0ms
x
Results
AccuracySegmentsBranch
75.8%4x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.4%)

Memory
0.3MiB live, 75.3MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
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(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 #s(approx (/ 1 (+ (* 2 x) 2)) #s(literal 1/2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) F) (sin.f64 B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (*.f64 F #s(literal 1 binary64)) (*.f64 (sin.f64 B) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (/.f64 F (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (sin.f64 B))))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 F (*.f64 B B)) #s(literal 7/360 binary64) (*.f64 #s(literal 1/6 binary64) F)) (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (pow.f64 B #s(literal -1 binary64)) (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (*.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
(-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))) (/.f64 x (tan.f64 B)))
Calls

2 calls:

22.0ms
B
20.0ms
x
Results
AccuracySegmentsBranch
70.1%2B
67.9%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes76.0ms (0.6%)

Memory
-13.1MiB live, 102.6MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) (-.f64 #s(literal -1 binary64) x))) B))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (fma.f64 (/.f64 #s(literal -1/2 binary64) B) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 B B) F) F)) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 x #s(literal -1/45 binary64)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 B B) #s(literal -1/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 F F) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 F F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1/2 binary64)) F) (-.f64 #s(literal 1 binary64) x) (*.f64 F (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 F (-.f64 #s(literal 1 binary64) x)))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B B) x) (neg.f64 x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/45 binary64)) (*.f64 x #s(literal 1/105 binary64))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (+ (* (* B B) (* 1/6 F)) F)) B) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 F F)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B))))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) (fma.f64 (*.f64 B B) (*.f64 #s(literal 1/6 binary64) F) F)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) F)) x) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F (neg.f64 x))) B)))
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) F (neg.f64 (*.f64 (*.f64 F #s(literal -7/360 binary64)) (*.f64 B B))))) (*.f64 B B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (/ (- (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (* (cos B) x)) (sin B)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)))) (*.f64 B B) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x))) B))
#s(approx (+ (* (/ (pow (+ (* x 2) (+ (* F F) 2)) -1/2) (sin B)) F) (/ (neg x) (tan B))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) F (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) F) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 F F)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x))) B))
Outputs
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F) #s(literal 1 binary64)) x)) B))
Calls

4 calls:

21.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
18.0ms
B
17.0ms
F
15.0ms
x
Results
AccuracySegmentsBranch
46.0%3F
43.0%2(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
40.9%1x
40.9%1B
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes10.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
Outputs
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

8.0ms
F
Results
AccuracySegmentsBranch
46.0%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
Outputs
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

8.0ms
F
Results
AccuracySegmentsBranch
45.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
-22.9MiB live, 15.1MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
Outputs
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

7.0ms
F
Results
AccuracySegmentsBranch
45.9%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.2%)

Memory
12.2MiB live, 49.8MiB allocated
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) F) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (/.f64 #s(literal 1/2 binary64) F) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) F)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) F (neg.f64 x)) B))
Outputs
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B))) #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) #s(approx (/ -1 (sin B)) (/.f64 #s(literal -1 binary64) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

4 calls:

10.0ms
x
7.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
7.0ms
F
7.0ms
B
Results
AccuracySegmentsBranch
26.2%1B
35.6%3x
33.8%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
42.9%5F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
17 → 5
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) F)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (/ (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) B) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 2 binary64)))) (/.f64 F B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

6.0ms
F
Results
AccuracySegmentsBranch
42.9%5F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-25.4MiB live, 14.5MiB allocated
Counts
15 → 5
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) #s(approx (+ (* (neg (cos B)) (/ x (sin B))) (* (sqrt (/ 1 (+ (* 2 x) 2))) (/ F (sin B)))) #s(approx (* (/ F (sin B)) (sqrt (/ 1 (+ (* 2 x) 2)))) (*.f64 (/.f64 F B) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

12.0ms
F
Results
AccuracySegmentsBranch
42.9%5F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory
19.9MiB live, 19.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (*.f64 (neg.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 #s(approx (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) (/.f64 #s(literal 1 binary64) F)) F (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ -1/2 F) (/ (+ (* x 2) 2) F)) (- 1 x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64)) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (+ (* (/ 1/2 F) (/ (+ (* 2 x) 2) F)) (- -1 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 (fma.f64 (sqrt.f64 #s(approx (/ 1 (+ (* F F) (+ (* 2 x) 2))) (/.f64 #s(literal 1/2 binary64) x))) F (neg.f64 x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal 1 binary64) x)) B))
Calls

1 calls:

5.0ms
F
Results
AccuracySegmentsBranch
37.8%3F
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
-16.3MiB live, 15.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (-.f64 #s(literal -1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
Calls

2 calls:

9.0ms
x
2.0ms
F
Results
AccuracySegmentsBranch
28.4%2x
32.6%2F
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) (neg.f64 x)) B))
Calls

4 calls:

2.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
2.0ms
F
2.0ms
x
2.0ms
B
Results
AccuracySegmentsBranch
25.8%1B
29.0%3x
25.8%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
29.0%3F
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes10.0ms (0.1%)

Memory
-22.1MiB live, 13.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))
Calls

4 calls:

1.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
1.0ms
B
1.0ms
F
1.0ms
x
Results
AccuracySegmentsBranch
9.7%1B
9.7%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
9.7%1x
9.7%1F
Compiler

Compiled 30 to 29 computations (3.3% saved)

bsearch21.0ms (0.2%)

Memory
34.8MiB live, 34.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
4.0ms
75678089544055.36
2815347411276169.5
14.0ms
-2.934058913918303e+28
-7.663524860603675e+26
Samples
13.0ms80×0valid
1.0ms0invalid
Compiler

Compiled 187 to 160 computations (14.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 2.0ms (17.3% of total)
ival-mult: 2.0ms (17.3% of total)
ival-sin: 2.0ms (17.3% of total)
ival-tan: 2.0ms (17.3% of total)
ival-pow: 2.0ms (17.3% of total)
ival-add: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch326.0ms (2.4%)

Memory
-126.3MiB live, 51.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
3.0ms
3.0895767792569327e+55
1.1477422628759065e+62
308.0ms
-7.901552238703595e+74
-1.3480099105545087e+73
Samples
304.0ms128×0valid
1.0ms0invalid
Compiler

Compiled 275 to 233 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-tan: 288.0ms (95.6% of total)
ival-div: 3.0ms (1% of total)
ival-mult: 3.0ms (1% of total)
ival-add: 2.0ms (0.7% of total)
ival-sin: 2.0ms (0.7% of total)
ival-pow: 2.0ms (0.7% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
0.0ms
3.0895767792569327e+55
1.1477422628759065e+62
6.0ms
-3.6329711798483937e+143
-1.0386495777951044e+142
Samples
5.0ms32×0valid
Compiler

Compiled 114 to 101 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (24.1% of total)
ival-mult: 1.0ms (24.1% of total)
ival-sin: 1.0ms (24.1% of total)
ival-tan: 1.0ms (24.1% of total)
ival-pow: 1.0ms (24.1% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch85.0ms (0.6%)

Memory
-17.7MiB live, 139.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
0.0010463505447550641
217187.65889744082
40.0ms
-1645266.2348162225
-0.0002237950615994987
Samples
53.0ms304×0valid
6.0ms44×0invalid
Compiler

Compiled 524 to 501 computations (4.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sin: 9.0ms (18.4% of total)
ival-mult: 8.0ms (16.4% of total)
ival-tan: 8.0ms (16.4% of total)
ival-pow: 8.0ms (16.4% of total)
ival-div: 7.0ms (14.3% of total)
ival-add: 5.0ms (10.2% of total)
ival-neg: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0010463505447550641
217187.65889744082
1.0ms
-1645266.2348162225
-0.0002237950615994987
Compiler

Compiled 562 to 539 computations (4.1% saved)

bsearch3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0010463505447550641
217187.65889744082
1.0ms
-1645266.2348162225
-0.0002237950615994987
Compiler

Compiled 524 to 501 computations (4.4% saved)

bsearch66.0ms (0.5%)

Memory
-7.9MiB live, 109.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
7.025894663917631e-8
0.0010463505447550641
27.0ms
-0.0002237950615994987
-2.2830307074139853e-6
Samples
41.0ms240×0valid
5.0ms38×0invalid
Compiler

Compiled 495 to 446 computations (9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 7.0ms (19.7% of total)
ival-mult: 6.0ms (16.8% of total)
ival-tan: 6.0ms (16.8% of total)
ival-div: 5.0ms (14% of total)
ival-pow: 5.0ms (14% of total)
ival-add: 4.0ms (11.2% of total)
ival-neg: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.025894663917631e-8
0.0010463505447550641
1.0ms
-0.0002237950615994987
-2.2830307074139853e-6
Compiler

Compiled 495 to 446 computations (9.9% saved)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-0.0002237950615994987
-2.2830307074139853e-6
Compiler

Compiled 247 to 222 computations (10.1% saved)

bsearch47.0ms (0.3%)

Memory
-0.3MiB live, 79.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
9.31071029825666e-24
6.3744374055633e-16
10.0ms
-3.8892977856830784e-91
-3.1891860391010375e-91
Samples
34.0ms192×0valid
Compiler

Compiled 399 to 356 computations (10.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-tan: 7.0ms (24.2% of total)
ival-div: 4.0ms (13.8% of total)
ival-mult: 4.0ms (13.8% of total)
ival-sin: 4.0ms (13.8% of total)
ival-pow: 4.0ms (13.8% of total)
ival-add: 3.0ms (10.4% of total)
ival-neg: 2.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
20.3MiB live, 59.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.31071029825666e-24
6.3744374055633e-16
31.0ms
-8.444770579485848e-8
-3.8116066614969015e-17
Samples
25.0ms144×0valid
Compiler

Compiled 534 to 494 computations (7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 3.0ms (15.7% of total)
ival-mult: 3.0ms (15.7% of total)
ival-sin: 3.0ms (15.7% of total)
ival-tan: 3.0ms (15.7% of total)
ival-pow: 3.0ms (15.7% of total)
ival-add: 2.0ms (10.5% of total)
ival-neg: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch102.0ms (0.8%)

Memory
-12.4MiB live, 67.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
1.2389536708148018e-56
7.724430738970863e-38
27.0ms
-8.444770579485848e-8
-3.8116066614969015e-17
Samples
84.0ms288×0valid
Compiler

Compiled 467 to 482 computations (-3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 43.0ms (58.4% of total)
ival-tan: 7.0ms (9.5% of total)
ival-sin: 6.0ms (8.1% of total)
ival-pow: 6.0ms (8.1% of total)
ival-div: 5.0ms (6.8% of total)
ival-add: 4.0ms (5.4% of total)
ival-neg: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch67.0ms (0.5%)

Memory
3.6MiB live, 78.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
5.3880997094047315e-70
7.85382003907855e-66
31.0ms
2.6080617911329508e-225
1.2324272781478907e-217
1.0ms
-8.444770579485848e-8
-3.8116066614969015e-17
Samples
48.0ms272×0valid
Compiler

Compiled 689 to 651 computations (5.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-pow: 8.0ms (20% of total)
ival-div: 7.0ms (17.5% of total)
ival-mult: 6.0ms (15% of total)
ival-sin: 6.0ms (15% of total)
ival-tan: 6.0ms (15% of total)
ival-add: 4.0ms (10% of total)
ival-neg: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
21.1MiB live, 21.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1882.7361041320887
25676.36514053102
Samples
17.0ms96×0valid
Compiler

Compiled 180 to 164 computations (8.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 3.0ms (21.1% of total)
ival-tan: 3.0ms (21.1% of total)
ival-div: 2.0ms (14% of total)
ival-mult: 2.0ms (14% of total)
ival-pow: 2.0ms (14% of total)
ival-add: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory
-7.4MiB live, 30.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
7.025894663917631e-8
0.0010463505447550641
33.0ms
-5.856205027932405e+89
-6.096775452888303e+84
Samples
26.0ms144×0valid
1.0ms0invalid
Compiler

Compiled 583 to 494 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 6.0ms (26.3% of total)
ival-mult: 4.0ms (17.5% of total)
ival-tan: 4.0ms (17.5% of total)
ival-div: 3.0ms (13.2% of total)
ival-pow: 3.0ms (13.2% of total)
ival-add: 2.0ms (8.8% of total)
ival-neg: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
-23.2MiB live, 20.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
2.798948769331922e+162
3.639427119354525e+163
1.0ms
-5.856205027932405e+89
-6.096775452888303e+84
Samples
22.0ms96×0valid
Compiler

Compiled 459 to 404 computations (12% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.3% of total)
ival-div: 2.0ms (10.5% of total)
ival-sin: 2.0ms (10.5% of total)
ival-tan: 2.0ms (10.5% of total)
ival-pow: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
ival-neg: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
3.7MiB live, 41.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.0010463505447550641
217187.65889744082
7.0ms
-5.856205027932405e+89
-6.096775452888303e+84
Samples
27.0ms160×0valid
2.0ms15×0invalid
Compiler

Compiled 525 to 503 computations (4.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 4.0ms (16.6% of total)
ival-sin: 4.0ms (16.6% of total)
ival-tan: 4.0ms (16.6% of total)
ival-div: 3.0ms (12.4% of total)
ival-pow: 3.0ms (12.4% of total)
ival-neg: 3.0ms (12.4% of total)
ival-add: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Memory
13.5MiB live, 51.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
75678089544055.36
2815347411276169.5
26.0ms
-2125530963183.0889
-113730695309.2293
Samples
34.0ms208×0valid
5.0ms39×0invalid
Compiler

Compiled 415 to 397 computations (4.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 6.0ms (19.8% of total)
ival-div: 5.0ms (16.5% of total)
ival-sin: 5.0ms (16.5% of total)
ival-tan: 5.0ms (16.5% of total)
ival-pow: 4.0ms (13.2% of total)
ival-add: 3.0ms (9.9% of total)
ival-neg: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch81.0ms (0.6%)

Memory
-3.7MiB live, 74.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
75678089544055.36
2815347411276169.5
15.0ms
5.1674584919954854e-130
6.529015303701716e-130
33.0ms
-3.17601922988448e-182
-2.3011927926583327e-191
25.0ms
-4.273531396470147e+29
-2.934058913918303e+28
Samples
51.0ms288×0valid
8.0ms57×0invalid
Compiler

Compiled 594 to 616 computations (-3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 11.0ms (22.5% of total)
ival-div: 9.0ms (18.4% of total)
ival-tan: 8.0ms (16.4% of total)
ival-sin: 7.0ms (14.3% of total)
ival-pow: 6.0ms (12.3% of total)
ival-add: 5.0ms (10.2% of total)
ival-neg: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
-4.5MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
75678089544055.36
2815347411276169.5
0.0ms
5.1674584919954854e-130
6.529015303701716e-130
1.0ms
-3.17601922988448e-182
-2.3011927926583327e-191
30.0ms
-2.2830307074139853e-6
-3.5785082008519476e-8
Samples
22.0ms112×0valid
3.0ms20×0invalid
Compiler

Compiled 548 to 596 computations (-8.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 6.0ms (29% of total)
ival-div: 3.0ms (14.5% of total)
ival-mult: 3.0ms (14.5% of total)
ival-sin: 3.0ms (14.5% of total)
ival-tan: 3.0ms (14.5% of total)
ival-add: 2.0ms (9.7% of total)
ival-neg: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
75678089544055.36
2815347411276169.5
0.0ms
5.1674584919954854e-130
6.529015303701716e-130
1.0ms
-3.17601922988448e-182
-2.3011927926583327e-191
1.0ms
-2.2830307074139853e-6
-3.5785082008519476e-8
Compiler

Compiled 564 to 612 computations (-8.5% saved)

bsearch58.0ms (0.4%)

Memory
26.1MiB live, 64.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
6.529015303701716e-130
2.1473300069395677e-129
34.0ms
-1.3244457901396148e-75
-1.5949290027328037e-80
Samples
37.0ms224×0valid
6.0ms45×0invalid
Compiler

Compiled 212 to 264 computations (-24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 6.0ms (17.3% of total)
ival-tan: 6.0ms (17.3% of total)
ival-pow: 6.0ms (17.3% of total)
ival-div: 5.0ms (14.5% of total)
ival-sin: 5.0ms (14.5% of total)
ival-add: 4.0ms (11.6% of total)
ival-neg: 2.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
-35.8MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.3244457901396148e-75
-1.5949290027328037e-80
Compiler

Compiled 147 to 179 computations (-21.8% saved)

bsearch78.0ms (0.6%)

Memory
26.6MiB live, 69.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
-1.1185355969120631e-39
-9.193542757752026e-48
38.0ms
-1.0386495777951044e+142
-1.848408314449006e+131
Samples
54.0ms304×0valid
5.0ms31×0invalid
Compiler

Compiled 258 to 349 computations (-35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 11.0ms (22.7% of total)
ival-mult: 8.0ms (16.5% of total)
ival-tan: 8.0ms (16.5% of total)
ival-sin: 7.0ms (14.4% of total)
ival-div: 6.0ms (12.4% of total)
ival-add: 4.0ms (8.3% of total)
ival-neg: 3.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify43.0ms (0.3%)

Memory
-21.0MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02793195
13183190
23513190
33613190
43663190
53673190
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 F #s(literal -1000000000000000013287555072 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (if (<=.f64 F #s(literal 100000000000000 binary64)) (fma.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(if (<=.f64 F #s(literal -280000000000000001526536837975851987284443669946836793113832162051902930944 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) (if (<=.f64 F #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(if (<=.f64 F #s(literal -200000000000000004749086471730221071481731585565736437494692997734047485908404114513635525643216658825869193826768023215158682633978016314687488 binary64)) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (/.f64 (-.f64 (/.f64 F (sqrt.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(if (<=.f64 F #s(literal -3/2 binary64)) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 2 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (-.f64 (/.f64 (/.f64 F (sin.f64 B)) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (/.f64 x (tan.f64 B)))) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(if (<=.f64 F #s(literal -3/2 binary64)) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 2 binary64)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) F)) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(if (<=.f64 F #s(literal -3/2 binary64)) (-.f64 #s(approx (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (/.f64 x (tan.f64 B))) (if (<=.f64 F #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 F #s(approx (sqrt (+ (* 2 x) (+ (* F F) 2))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))) (*.f64 (cos.f64 B) x)) (sin.f64 B)) (/.f64 (-.f64 #s(approx (/ F (sqrt (+ (* 2 x) (+ (* F F) 2)))) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
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Outputs
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (* (/ F (sin B)) (pow (+ (+ (* F F) 2) (* 2 x)) (neg (/ 1 2))))) (/.f64 #s(approx (+ (* (sqrt (/ 1 (+ (* F F) (+ (* 2 x) 2)))) F) (neg x)) #s(approx (- -1 x) #s(literal -1 binary64))) B))

soundness2.0s (14.9%)

Memory
16.0MiB live, 1 846.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081605
0123560
1533541
24326541
08527541
072452
0103411
1398384
23147384
08318384
0113817776
1363017292
0815715860
063448
0104428
1409389
23217389
08331389
02071
03767
112266
278966
0829658
0133022000
1450221719
0862720025
0146923133
1477022706
0907620927
04964202
114844010
253783926
085723585
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 3 092 to 1 826 computations (40.9% saved)

preprocess204.0ms (1.5%)

Memory
17.3MiB live, 210.5MiB allocated
Remove

(negabs B)

Compiler

Compiled 2 394 to 570 computations (76.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...