VandenBroeck and Keller, Equation (24)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze166.0ms (1.9%)

Memory
-3.7MiB live, 189.9MiB 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
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
37.5%37.5%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
46.9%46.8%53.1%0.1%0%0%0%10
46.9%46.8%53.1%0.1%0%0%0%11
48.4%48.4%51.5%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.2s (14.4%)

Memory
36.4MiB live, 1 266.9MiB allocated
Samples
922.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 727.0ms
ival-tan: 249.0ms (34.3% of total)
ival-sin: 183.0ms (25.2% of total)
ival-div: 129.0ms (17.7% of total)
ival-mult: 64.0ms (8.8% of total)
ival-add: 46.0ms (6.3% of total)
ival-neg: 41.0ms (5.6% of total)
ival-true: 7.0ms (1% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain194.0ms (2.3%)

Memory
-10.1MiB live, 148.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
00-0-#s(literal 1 binary64)
00-0-(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
00-0-(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
00-0-(/.f64 #s(literal 1 binary64) (sin.f64 B))
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 B))
00-0-(tan.f64 B)
00-0-B
00-0-(sin.f64 B)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))n*o10
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
58.0ms512×0valid
Compiler

Compiled 96 to 34 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sin: 13.0ms (31.6% of total)
ival-tan: 12.0ms (29.2% of total)
ival-div: 8.0ms (19.5% of total)
ival-mult: 4.0ms (9.7% of total)
ival-add: 2.0ms (4.9% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess47.0ms (0.6%)

Memory
10.5MiB live, 46.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02868
17746
221245
341645
464345
578845
686645
789145
889345
01012
01712
1309
2579
3909
41289
51859
62239
72869
83189
93459
103559
03559
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 #s(literal 1 binary64) (sin.f64 B)))
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
Symmetry

(negabs B)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify13.0ms (0.1%)

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

Found 4 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-diff1
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff2
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
01740
13033
25733
39033
412833
518533
622333
728633
831833
934533
1035533
035533
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 #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
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)
Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.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
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)

localize44.0ms (0.5%)

Memory
-23.4MiB live, 58.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy0.15625
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.4802310748357843
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
Samples
34.0ms256×0valid
Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (29.5% of total)
ival-tan: 6.0ms (29.5% of total)
ival-div: 4.0ms (19.7% of total)
ival-mult: 2.0ms (9.8% of total)
ival-add: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
5 → 27
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.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 #s(literal 1 binary64) (sin.f64 B))
Outputs
(/ 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)
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -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 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ (* x (cos B)) (sin B))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (cos B) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
B
@-inf
((* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)))
2.0ms
B
@inf
((* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)))
2.0ms
x
@0
((* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)))
2.0ms
B
@0
((* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)))
2.0ms
x
@-inf
((* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)))

simplify229.0ms (2.7%)

Memory
31.4MiB live, 183.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135386
1368379
21234361
34537356
08071322
Stop Event
iter limit
node limit
Counts
27 → 27
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)
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -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 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ (* x (cos B)) (sin B))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (cos B) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
Outputs
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(*.f64 x (/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B))
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.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 (*.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 x #s(literal -2/945 binary64)) (*.f64 x (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)))) B) B x) B)
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)))) 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 (neg.f64 (fma.f64 (*.f64 (fma.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 x #s(literal -2/945 binary64)) (*.f64 x (fma.f64 #s(literal -1/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)))) B) B x)) 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)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (* x (cos B)) (sin B))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

rewrite135.0ms (1.6%)

Memory
-15.0MiB live, 145.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
01726
15925
237625
3435025
0901125
Stop Event
iter limit
node limit
iter limit
Counts
5 → 457
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.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 #s(literal 1 binary64) (sin.f64 B))
Outputs
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B)))
(*.f64 (exp.f64 (log.f64 x)) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
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(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x (tan.f64 B))))
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (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) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 B) #s(literal 1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))))
(*.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 -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (cos.f64 B)))
(*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (cos.f64 B) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (cos.f64 B) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (neg.f64 (cos.f64 B)))
(*.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 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B)))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (tan.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (cos.f64 B) #s(literal -1 binary64)))
(/.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(neg.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 B))))
(+.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.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)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B)))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 B))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.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) (sin.f64 B))
(neg.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))
(+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))

eval42.0ms (0.5%)

Memory
-10.1MiB live, 65.2MiB allocated
Compiler

Compiled 6 817 to 1 097 computations (83.9% saved)

prune18.0ms (0.2%)

Memory
-3.6MiB live, 35.5MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New34418362
Fresh000
Picked011
Done000
Total34419363
Accuracy
100.0%
Counts
363 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
36.7%
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 6 binary64)) (pow.f64 (sin.f64 B) #s(literal -6 binary64))) (*.f64 (fma.f64 (/.f64 x (tan.f64 B)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (sin.f64 B) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64)))))
47.0%
(/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)))
99.8%
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.8%
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.7%
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.8%
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
72.3%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
72.6%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
83.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))
71.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))))
99.7%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
56.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
75.0%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
75.0%
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
63.2%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
48.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
Compiler

Compiled 688 to 512 computations (25.6% saved)

simplify78.0ms (0.9%)

Memory
6.0MiB live, 48.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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-diff1
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
cost-diff2
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff0
(/.f64 x (sin.f64 B))
cost-diff0
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
cost-diff0
(neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
cost-diff4
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff0
(*.f64 B x)
cost-diff0
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
cost-diff0
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff1
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
cost-diff0
(tan.f64 B)
cost-diff0
(/.f64 x (tan.f64 B))
cost-diff0
(neg.f64 (/.f64 x (tan.f64 B)))
cost-diff1
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039219
065215
1108203
2190203
3332203
4560203
51008201
61440200
72035200
82217200
92271200
102298200
112302200
122302200
02302197
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(tan.f64 B)
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
(*.f64 B x)
B
x
#s(literal 1/3 binary64)
(/.f64 (neg.f64 x) B)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
B
(cos.f64 B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 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
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
(sin.f64 B)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
Outputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 x (tan.f64 B))
x
(tan.f64 B)
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
B
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (neg (* x (/ 1 (tan B)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x)) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
#s(approx (neg (* x (/ 1 (tan B)))) (*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x))
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
(*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x)
(*.f64 B x)
B
x
#s(literal 1/3 binary64)
(/.f64 (neg.f64 x) B)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (sin.f64 B))
(neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
B
(cos.f64 B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.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
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
(sin.f64 B)
#s(literal 2 binary64)
#s(literal -1/2 binary64)

localize148.0ms (1.7%)

Memory
27.4MiB live, 137.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.27734375
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
accuracy0.4802310748357843
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy11.662755246408835
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
accuracy0.01171875
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy0.140625
(/.f64 x (sin.f64 B))
accuracy0.170253759768442
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
accuracy0.01171875
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy0.1484375
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
accuracy33.04804583081664
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
accuracy0.0
(neg.f64 (/.f64 x (tan.f64 B)))
accuracy0.01171875
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy0.140625
(/.f64 x (tan.f64 B))
Samples
122.0ms256×0valid
Compiler

Compiled 196 to 33 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 11.0ms (18.1% of total)
ival-mult: 7.0ms (11.5% of total)
ival-tan: 7.0ms (11.5% of total)
ival-add: 6.0ms (9.9% of total)
ival-sin: 6.0ms (9.9% of total)
ival-cos: 6.0ms (9.9% of total)
ival-pow: 6.0ms (9.9% of total)
ival-neg: 5.0ms (8.2% of total)
const: 4.0ms (6.6% of total)
ival-pow2: 3.0ms (4.9% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-8.2MiB live, 68.7MiB allocated
Counts
22 → 66
Calls
Call 1
Inputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
(*.f64 B x)
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(/.f64 x (sin.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
Outputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -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)
(/ 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)
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(* B x)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B)
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B)
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -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))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B)
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* (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 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 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 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (sin B) (cos B))
(* 1/3 (* B x))
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(/ x (sin B))
(/ (cos B) (sin B))
(/ 1 (sin B))
(pow (sin B) 2)
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ x B)) (/ 1 B))
1
(+ 1 (* -1 x))
(* x (- (* 1/3 B) (/ 1 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1/3 B) (/ 1 B))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
B
@0
((+ (neg (/ x (tan B))) (/ 1 (sin B))) (neg (/ x (tan B))) (/ x (tan B)) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (* (* B x) 1/3) (/ (neg x) B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (* B x) (+ (neg (* (/ x (sin B)) (cos B))) (/ 1 (sin B))) (neg (* (/ x (sin B)) (cos B))) (* (/ x (sin B)) (cos B)) (/ x (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2))
7.0ms
x
@inf
((+ (neg (/ x (tan B))) (/ 1 (sin B))) (neg (/ x (tan B))) (/ x (tan B)) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (* (* B x) 1/3) (/ (neg x) B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (* B x) (+ (neg (* (/ x (sin B)) (cos B))) (/ 1 (sin B))) (neg (* (/ x (sin B)) (cos B))) (* (/ x (sin B)) (cos B)) (/ x (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2))
7.0ms
B
@-inf
((+ (neg (/ x (tan B))) (/ 1 (sin B))) (neg (/ x (tan B))) (/ x (tan B)) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (* (* B x) 1/3) (/ (neg x) B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (* B x) (+ (neg (* (/ x (sin B)) (cos B))) (/ 1 (sin B))) (neg (* (/ x (sin B)) (cos B))) (* (/ x (sin B)) (cos B)) (/ x (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2))
4.0ms
x
@-inf
((+ (neg (/ x (tan B))) (/ 1 (sin B))) (neg (/ x (tan B))) (/ x (tan B)) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (* (* B x) 1/3) (/ (neg x) B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (* B x) (+ (neg (* (/ x (sin B)) (cos B))) (/ 1 (sin B))) (neg (* (/ x (sin B)) (cos B))) (* (/ x (sin B)) (cos B)) (/ x (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2))
4.0ms
B
@inf
((+ (neg (/ x (tan B))) (/ 1 (sin B))) (neg (/ x (tan B))) (/ x (tan B)) (tan B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (+ (* (* B x) 1/3) (/ (neg x) B)) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg (* x (/ 1 (tan B)))) (* B x) (+ (neg (* (/ x (sin B)) (cos B))) (/ 1 (sin B))) (neg (* (/ x (sin B)) (cos B))) (* (/ x (sin B)) (cos B)) (/ x (sin B)) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (/ 1 (sin B)) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2))

simplify185.0ms (2.2%)

Memory
23.5MiB live, 174.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221007
1935951
23102870
08196782
Stop Event
iter limit
node limit
Counts
66 → 65
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -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)
(/ 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)
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(* B x)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B)
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B)
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -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))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B)
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* (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 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 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 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (sin B) (cos B))
(* 1/3 (* B x))
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(/ x (sin B))
(/ (cos B) (sin B))
(/ 1 (sin B))
(pow (sin B) 2)
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ x B)) (/ 1 B))
1
(+ 1 (* -1 x))
(* x (- (* 1/3 B) (/ 1 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1/3 B) (/ 1 B))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(*.f64 (/.f64 x B) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.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 x (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) (*.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 #s(literal 1/45 binary64) 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 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64)))) (*.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 (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) (neg.f64 B) (*.f64 #s(literal -1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
B
(* B (+ 1 (* 1/3 (pow B 2))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) #s(literal 1/3 binary64) B)
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 B B) #s(literal 1/3 binary64)) B)
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 B B) #s(literal 2/15 binary64)) (*.f64 B B) #s(literal 1/3 binary64)) B)
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)
(*.f64 (/.f64 x B) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)))
(* B x)
(*.f64 B x)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (* -1/6 x)) (* -1/2 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (- (+ 1/6 (+ (* -1/6 x) (* (pow B 2) (- (+ 7/360 (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ 31/15120 (+ (* -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)))))) (* -1/720 x)))))) (* 1/24 x))))) (* -1/2 x)))) x) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (fma.f64 (fma.f64 #s(literal 1/720 binary64) x (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/336 binary64) #s(literal 31/15120 binary64)))) (*.f64 B B) #s(literal 7/360 binary64))) (*.f64 B B) #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (* (pow B 2) (- (* -1/6 x) (* -1/2 x))) x) B)
(*.f64 (/.f64 x B) (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)))
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)) (* 1/24 x)))) (* -1/2 x))) x) B)
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B) (neg.f64 x)) B)
(/ (- (* (pow B 2) (- (+ (* -1/6 x) (* (pow B 2) (- (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (+ (* 1/120 x) (* (pow B 2) (- (+ (* -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))))) (* -1/720 x))))) (* 1/24 x)))) (* -1/2 x))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) x (*.f64 (fma.f64 #s(literal 1/720 binary64) x (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/336 binary64)))) (*.f64 B B))) (*.f64 B B) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) (neg.f64 x)) B)
(/ (+ x (* (pow B 2) (- (* -1/2 x) (* -1/6 x)))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal -1/3 binary64) x) B)
(/ (+ x (* (pow B 2) (- (+ (* -1/2 x) (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) x)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(/ (+ x (* (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 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1/6 x)))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) x) (fma.f64 (fma.f64 x #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) x)) #s(literal -1/6 binary64) (*.f64 x #s(literal -1/336 binary64)))) (*.f64 B B) (fma.f64 x #s(literal -1/72 binary64) (*.f64 #s(literal -1/120 binary64) x))) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/.f64 (fma.f64 (*.f64 (*.f64 B B) x) #s(literal 1/6 binary64) x) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64))) B)) B x) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -31/15120 binary64)) B) (neg.f64 B) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 B B) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 B B) x) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #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)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(pow B 2)
(*.f64 B B)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 B B))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 B B) #s(literal 2/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/ (sin B) (cos B))
(/.f64 (sin.f64 B) (cos.f64 B))
(* 1/3 (* B x))
(*.f64 (*.f64 #s(literal 1/3 binary64) B) x)
(* B (+ (* -1 (/ x (pow B 2))) (* 1/3 x)))
(*.f64 (neg.f64 B) (fma.f64 #s(literal -1/3 binary64) x (/.f64 (/.f64 x B) B)))
(/ x (sin B))
(/.f64 x (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(pow (sin B) 2)
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
(* -1 (* B (+ (* -1/3 x) (/ x (pow B 2)))))
(*.f64 (neg.f64 B) (fma.f64 #s(literal -1/3 binary64) x (/.f64 (/.f64 x B) B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ x B)) (/ 1 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- (* 1/3 B) (/ 1 B)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x)
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(neg.f64 (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) B) x) x (/.f64 x B)))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ (* -1/3 B) (/ 1 B))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x)
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

rewrite211.0ms (2.5%)

Memory
-36.4MiB live, 295.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039175
065150
1221146
21518146
08403146
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 452
Calls
Call 1
Inputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(/.f64 x (tan.f64 B))
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B)))
(*.f64 B x)
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(/.f64 x (sin.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (sin.f64 B) #s(literal -2 binary64))) (pow.f64 (/.f64 (-.f64 (*.f64 (cos.f64 B) x) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (sin.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64))) (fma.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))))))
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(/.f64 (neg.f64 (*.f64 x (neg.f64 (cos.f64 B)))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))) (neg.f64 (sin.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 (tan.f64 B) x) #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 (cos.f64 B) x))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (*.f64 (tan.f64 B) (*.f64 (neg.f64 x) (cos.f64 B)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) x)) (*.f64 (tan.f64 B) (*.f64 #s(literal 1 binary64) (cos.f64 B)))) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (*.f64 (tan.f64 B) (*.f64 (cos.f64 B) (neg.f64 x)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) x)) (*.f64 (tan.f64 B) (*.f64 (cos.f64 B) #s(literal 1 binary64)))) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (*.f64 (tan.f64 B) (neg.f64 (*.f64 (cos.f64 B) x)))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 B)) (*.f64 (tan.f64 B) (*.f64 (cos.f64 B) x))) (*.f64 (tan.f64 B) (sin.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) (*.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (tan.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 B) x)) (*.f64 (tan.f64 B) (cos.f64 B))) (*.f64 (tan.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (*.f64 (tan.f64 B) (neg.f64 x))) (*.f64 (tan.f64 B) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (tan.f64 B) x)) (tan.f64 B)) (*.f64 (tan.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (tan.f64 B) x)) (*.f64 (tan.f64 B) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (tan.f64 B)) (*.f64 (tan.f64 B) x)) (pow.f64 (tan.f64 B) #s(literal 2 binary64)))
(/.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 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x)) (sin.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 (tan.f64 B) x) #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 (cos.f64 B) x)) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (tan.f64 B)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (tan.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (tan.f64 B)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.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 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) (neg.f64 (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 x (neg.f64 (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 B) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (neg.f64 (*.f64 (cos.f64 B) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (tan.f64 B)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (tan.f64 B) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 B)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 x (neg.f64 (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 x (neg.f64 (tan.f64 B)))
(neg.f64 (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) (/.f64 (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) (+.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 (pow.f64 (/.f64 (tan.f64 B) x) #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 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1 binary64)) #s(literal 1 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 #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 (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 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 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 (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(/.f64 (cos.f64 B) (sin.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 (pow.f64 (sqrt.f64 (sin.f64 B)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.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)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.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) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.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)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.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) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))
(*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (sin.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 B) (sin.f64 B))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 B)))
(pow.f64 (neg.f64 (sin.f64 B)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 B) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (cos.f64 B) #s(literal 2 binary64)) (pow.f64 (cos.f64 B) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 B) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 B B)) (cos.f64 (+.f64 B B)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 B B)) (cos.f64 (+.f64 B B))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 B B)) (cos.f64 (+.f64 B B)))))
(-.f64 (/.f64 (cos.f64 (-.f64 B B)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 B B)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 B) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))))

eval270.0ms (3.2%)

Memory
25.9MiB live, 180.3MiB allocated
Compiler

Compiled 19 088 to 2 839 computations (85.1% saved)

prune34.0ms (0.4%)

Memory
-5.4MiB live, 70.5MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New79124815
Fresh9413
Picked235
Done101
Total80331834
Accuracy
100.0%
Counts
834 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.4%
(/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B) (sin.f64 B)) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
42.3%
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
99.7%
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.8%
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
57.0%
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
47.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
57.0%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
83.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))
71.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))))
56.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
47.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
75.0%
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
63.2%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
48.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
41.3%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
48.2%
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
37.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
35.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
46.7%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
35.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 B (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
46.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
24.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
26.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
46.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
39.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
Compiler

Compiled 1 264 to 926 computations (26.7% saved)

simplify323.0ms (3.8%)

Memory
12.2MiB live, 133.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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-diff1
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
cost-diff2
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff1
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B)
cost-diff2
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff2
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
cost-diff6
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
cost-diff1
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
cost-diff0
(cos.f64 B)
cost-diff0
(*.f64 (cos.f64 B) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043301
068261
1130243
2320243
3998243
43024243
56732243
08393236
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
#s(literal 1 binary64)
(*.f64 (cos.f64 B) x)
(cos.f64 B)
B
x
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 1 binary64) x)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 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
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
#s(literal -1/2 binary64)
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
#s(literal 1 binary64)
(*.f64 (cos.f64 B) x)
(*.f64 x (cos.f64 B))
(cos.f64 B)
B
x
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B)))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(*.f64 x x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
B
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.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
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
#s(literal -1/2 binary64)

localize205.0ms (2.4%)

Memory
-30.5MiB live, 159.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy0.4802310748357843
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy11.662755246408835
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
accuracy32.93451830965028
#s(approx (pow (sin B) 2) (*.f64 B B))
accuracy0.02734375
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
accuracy0.05078125
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
accuracy18.900286498981128
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
accuracy13.80248716224694
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
accuracy0.0078125
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
accuracy29.89770861514848
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
accuracy0.0
(cos.f64 B)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
accuracy0.11328125
(*.f64 (cos.f64 B) x)
accuracy0.12109375
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Samples
181.0ms255×0valid
1.0ms3valid
Compiler

Compiled 243 to 34 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-sub: 38.0ms (26.9% of total)
ival-cos: 29.0ms (20.5% of total)
ival-sin: 28.0ms (19.8% of total)
ival-div: 16.0ms (11.3% of total)
ival-mult: 11.0ms (7.8% of total)
ival-pow: 6.0ms (4.2% of total)
ival-tan: 5.0ms (3.5% of total)
ival-add: 4.0ms (2.8% of total)
ival-pow2: 3.0ms (2.1% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 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)

series62.0ms (0.7%)

Memory
11.1MiB live, 49.2MiB allocated
Counts
25 → 86
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B)
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(*.f64 x x)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (sin B) 2) (*.f64 B B))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
Outputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- (+ 1 x) (* (pow x 2) (+ 1 x))) (* B (pow (+ 1 x) 2)))
(/ 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)
(* -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)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ (- 1 (* x (cos B))) (sin B))
(- 1 (* x (cos B)))
(* x (cos B))
(cos B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (cos B) (sin B))
(pow (sin B) 2)
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ 1 (* -1 (* x (cos B))))
(+ (* -1 (/ x B)) (/ 1 B))
(+ 1 (* -1 x))
(+ 1 (* -1 (pow x 2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* x (- (* -1 x) 1)))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ 1 x) 1) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)))))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
B
@-inf
((/ (- 1 (* (cos B) x)) (sin B)) (- 1 (* (cos B) x)) (* (cos B) x) (cos B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (/ (/ (- 1 (* x x)) (+ 1 x)) B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 (* x x)) (+ 1 x)) (- 1 (* x x)) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (/ (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) B) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* x x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (+ 1 x) (* x x)) (* (+ 1 x) (+ 1 x)) (pow (sin B) 2) (pow (pow (sin B) 2) -1/2))
11.0ms
x
@-inf
((/ (- 1 (* (cos B) x)) (sin B)) (- 1 (* (cos B) x)) (* (cos B) x) (cos B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (/ (/ (- 1 (* x x)) (+ 1 x)) B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 (* x x)) (+ 1 x)) (- 1 (* x x)) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (/ (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) B) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* x x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (+ 1 x) (* x x)) (* (+ 1 x) (+ 1 x)) (pow (sin B) 2) (pow (pow (sin B) 2) -1/2))
5.0ms
x
@inf
((/ (- 1 (* (cos B) x)) (sin B)) (- 1 (* (cos B) x)) (* (cos B) x) (cos B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (/ (/ (- 1 (* x x)) (+ 1 x)) B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 (* x x)) (+ 1 x)) (- 1 (* x x)) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (/ (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) B) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* x x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (+ 1 x) (* x x)) (* (+ 1 x) (+ 1 x)) (pow (sin B) 2) (pow (pow (sin B) 2) -1/2))
4.0ms
B
@0
((/ (- 1 (* (cos B) x)) (sin B)) (- 1 (* (cos B) x)) (* (cos B) x) (cos B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (/ (/ (- 1 (* x x)) (+ 1 x)) B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 (* x x)) (+ 1 x)) (- 1 (* x x)) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (/ (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) B) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* x x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (+ 1 x) (* x x)) (* (+ 1 x) (+ 1 x)) (pow (sin B) 2) (pow (pow (sin B) 2) -1/2))
4.0ms
B
@inf
((/ (- 1 (* (cos B) x)) (sin B)) (- 1 (* (cos B) x)) (* (cos B) x) (cos B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (/ (/ (- 1 (* x x)) (+ 1 x)) B) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 (* x x)) (+ 1 x)) (- 1 (* x x)) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (/ (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* (+ 1 x) (+ 1 x))) B) (* x (/ 1 (tan B))) (+ (neg (* x (/ 1 (tan B)))) (pow (pow (sin B) 2) -1/2)) (neg (* x (/ 1 (tan B)))) (/ 1 (tan B)) (* x x) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (* (+ 1 x) (* x x)) (* (+ 1 x) (+ 1 x)) (pow (sin B) 2) (pow (pow (sin B) 2) -1/2))

simplify216.0ms (2.5%)

Memory
-36.2MiB live, 203.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231033
19331007
22899975
08196885
Stop Event
iter limit
node limit
Counts
86 → 85
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- (+ 1 x) (* (pow x 2) (+ 1 x))) (* B (pow (+ 1 x) 2)))
(/ 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)
(* -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)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ (- 1 (* x (cos B))) (sin B))
(- 1 (* x (cos B)))
(* x (cos B))
(cos B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (cos B) (sin B))
(pow (sin B) 2)
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ 1 (* -1 (* x (cos B))))
(+ (* -1 (/ x B)) (/ 1 B))
(+ 1 (* -1 x))
(+ 1 (* -1 (pow x 2)))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* x (- (* -1 x) 1)))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ 1 x) 1) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)))))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1/24 binary64) x))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) x) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1/24 binary64) x))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/5040 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)))))) (*.f64 B B) (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -1/24 binary64) x)))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) B) B #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 B B) #s(literal 1/2 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/720 binary64) (*.f64 B B) #s(literal -1/24 binary64))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) (-.f64 #s(literal 1 binary64) x))
x
(+ x (* -1/2 (* (pow B 2) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64)) x)
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64))) (*.f64 B B) x)
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow B 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 B B) #s(literal 1 binary64))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 B B) #s(literal -1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 B B) #s(literal 1/24 binary64)) (*.f64 B B) #s(literal -1/2 binary64)) (*.f64 B B) #s(literal 1 binary64))
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) B) B (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64))) (*.f64 B B) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))
(/ (- (+ 1 x) (* (pow x 2) (+ 1 x))) (* B (pow (+ 1 x) 2)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) B))
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 B B) x) 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 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) (neg.f64 B) (*.f64 #s(literal -1/45 binary64) x)) (*.f64 B B) (*.f64 #s(literal -1/3 binary64) x)) (*.f64 B B) x) B)
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(*.f64 (/.f64 x B) (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64)))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.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 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 #s(literal 1/45 binary64) x)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 B B) #s(literal -1 binary64)))) B)
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 B B) #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)
(pow B 2)
(*.f64 B B)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 B B))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(fma.f64 (pow.f64 B #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 B B) #s(literal 2/45 binary64)) (*.f64 B B) #s(literal -1/3 binary64)) (*.f64 B B))
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 B B) #s(literal 7/360 binary64)) (*.f64 B B) #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) B)
(/ (- 1 (* x (cos B))) (sin B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(- 1 (* x (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(* x (cos B))
(*.f64 (cos.f64 B) x)
(cos B)
(cos.f64 B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(pow (sin B) 2)
(pow.f64 (sin.f64 B) #s(literal 2 binary64))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(+ 1 (* -1 (* x (cos B))))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(+ (* -1 (/ x B)) (/ 1 B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* -1 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (- (* -1 x) 1)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 x (fma.f64 x x x))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(* -1 (* x (cos B)))
(*.f64 (neg.f64 x) (cos.f64 B))
(* x (- (/ 1 x) (cos B)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(*.f64 x (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x) #s(literal 1 binary64)))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x) #s(literal 1 binary64))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ 1 x) 1) x)))))
(*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite366.0ms (4.3%)

Memory
7.7MiB live, 398.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043270
068180
1266174
21989174
08782173
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 362
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(*.f64 (cos.f64 B) x)
(cos.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B)
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(*.f64 x x)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (sin B) 2) (*.f64 B B))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal 1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)))
(pow.f64 (/.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (neg.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal 1 binary64))) (neg.f64 (sin.f64 B)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 B))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 x (cos.f64 B))))) (neg.f64 (*.f64 (neg.f64 (sin.f64 B)) (sin.f64 B))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (sin.f64 B) (*.f64 x (cos.f64 B))))) (neg.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) (cos.f64 B)))) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 x) (cos.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (*.f64 x (cos.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) (cos.f64 B)))) (*.f64 (sin.f64 B) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 B)) #s(literal 3 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))
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(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)))
(+.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(+.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x x)))
#s(approx (pow (sin B) 2) (*.f64 B B))
(exp.f64 (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))))
(*.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/4 binary64)) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))))
(pow.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
(exp.f64 (fma.f64 (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))) #s(literal -1/4 binary64) (*.f64 (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (sin B) 2) (*.f64 B B))) #s(literal -1/2 binary64)))

eval185.0ms (2.2%)

Memory
30.2MiB live, 226.6MiB allocated
Compiler

Compiled 47 761 to 5 403 computations (88.7% saved)

prune87.0ms (1%)

Memory
-4.4MiB live, 108.2MiB allocated
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1 116221 138
Fresh71623
Picked325
Done213
Total1 128411 169
Accuracy
100.0%
Counts
1 169 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
87.4%
(/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B) (sin.f64 B)) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
42.3%
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
76.4%
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
47.6%
(/.f64 #s(approx (- 1 (* (cos B) x)) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
57.0%
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
57.0%
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
57.0%
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
47.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
83.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))
71.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))))
56.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
47.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
75.0%
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
48.1%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
41.3%
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.6%
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
48.2%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
48.2%
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
31.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
33.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
31.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
11.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
43.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
26.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
26.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
10.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
11.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
21.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
36.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) B))
24.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
26.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
46.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
46.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
39.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
Compiler

Compiled 2 051 to 1 389 computations (32.3% saved)

simplify150.0ms (1.8%)

Memory
-6.1MiB live, 148.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 B B)
cost-diff0
#s(approx (pow (sin B) 2) (*.f64 B B))
cost-diff0
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
cost-diff1
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
cost-diff2
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff2
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
cost-diff18
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
cost-diff0
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
cost-diff4
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
cost-diff0
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
cost-diff0
(sin.f64 B)
cost-diff0
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055380
088350
1173336
2408294
31566279
46572279
08346270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
#s(literal 1 binary64)
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(sin.f64 B)
B
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(*.f64 x (cos.f64 B))
x
(cos.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 B B)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
B
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
B
#s(literal -1/2 binary64)
(/.f64 x (tan.f64 B))
x
(tan.f64 B)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
#s(literal 1 binary64)
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)))
(sin.f64 B)
B
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))
(*.f64 x (cos.f64 B))
(*.f64 (cos.f64 B) x)
x
(cos.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64))
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 B B)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(*.f64 x x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
B
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
B
#s(literal -1/2 binary64)
(/.f64 x (tan.f64 B))
x
(tan.f64 B)

localize214.0ms (2.5%)

Memory
14.6MiB live, 257.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
accuracy0.140625
(/.f64 x (tan.f64 B))
accuracy11.662755246408835
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
accuracy32.93451830965028
#s(approx (pow (sin B) 2) (*.f64 B B))
accuracy0.05078125
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
accuracy4.419264086521313
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
accuracy18.900286498981128
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
accuracy0.12109375
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.29007417904254573
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64))
accuracy12.85253666073448
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
accuracy33.066050779186746
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
accuracy0.0
(neg.f64 x)
accuracy0.0078125
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
accuracy33.070966738680596
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
accuracy33.32150841313872
#s(approx (- 1 x) (neg.f64 x))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
accuracy0.1015625
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
accuracy0.11328125
(*.f64 x (cos.f64 B))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
Samples
132.0ms255×0valid
1.0ms3valid
Compiler

Compiled 314 to 49 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-tan: 30.0ms (26.9% of total)
ival-mult: 20.0ms (18% of total)
ival-div: 18.0ms (16.2% of total)
ival-sub: 8.0ms (7.2% of total)
ival-sin: 7.0ms (6.3% of total)
ival-cos: 6.0ms (5.4% of total)
ival-pow: 6.0ms (5.4% of total)
ival-add: 6.0ms (5.4% of total)
const: 4.0ms (3.6% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-neg: 2.0ms (1.8% of total)
adjust: 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)

series33.0ms (0.4%)

Memory
18.8MiB live, 91.9MiB allocated
Counts
25 → 118
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(sin.f64 B)
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
(*.f64 x (cos.f64 B))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 x (tan.f64 B))
Outputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ B (- 1 x))
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (+ (* -1 (* (pow B 2) (+ (* 1/5040 (/ 1 (- 1 x))) (+ (* 1/720 (/ x (pow (- 1 x) 2))) (+ (* 1/24 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* 1/2 (/ (* x (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (- 1 x)))))))) (* 1/120 (/ 1 (- 1 x)))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))) x) B)
(- (+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))) x)
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
1
(+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x))))
(/ 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)
(/ (- 1 (* x (cos B))) (sin B))
(/ (sin B) (- 1 (* x (cos B))))
(sin B)
(- 1 (* x (cos B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* B (+ (* 1/6 (- 1 x)) (* 1/2 x)))
(* B (- (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))
(* (pow B 2) (- (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(/ 1 (sin B))
(pow (sin B) 2)
(* x (cos B))
(* (pow B 2) (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))))
(/ (* x (cos B)) (sin B))
(* -1 (* B (+ (* -1 (+ (* 1/6 (- 1 x)) (* 1/2 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (sin B) (* x (* (cos B) (sin B))))
(+ (sin B) (* x (- (* x (* (pow (cos B) 2) (sin B))) (* -1 (* (cos B) (sin B))))))
(+ (sin B) (* x (- (* x (- (* x (* (pow (cos B) 3) (sin B))) (* -1 (* (pow (cos B) 2) (sin B))))) (* -1 (* (cos B) (sin B))))))
(+ 1 (* -1 (* x (cos B))))
(+ (* -1 (/ x B)) (/ 1 B))
(+ 1 (* -1 x))
(* -1 x)
1/6
(+ 1/6 (* 1/3 x))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ 1 (* 1/6 (pow B 2)))
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* x (- (* -1 x) 1)))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (sin B) (* x (cos B))))
(/ (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* x (pow (cos B) 2))))) x)
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) (/ (sin B) (* x (pow (cos B) 2)))) x)
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 3) (pow (cos B) 4))))) (+ (/ (sin B) (* x (pow (cos B) 2))) (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) x)
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 x) 1))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (* 1/3 (pow B 2)) 1))
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* 1/3 (* (pow B 2) x))
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (/ (+ (/ (sin B) (cos B)) (/ (sin B) (* x (pow (cos B) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin B) (* x (pow (cos B) 3)))) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (sin B) (* x (pow (cos B) 4))) (* -1 (/ (sin B) (pow (cos B) 3)))) x)) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ 1 (* -1/3 (pow B 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ 1 x) 1) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
B
@inf
((/ 1 (/ (sin B) (- 1 (* x (cos B))))) (/ (sin B) (- 1 (* x (cos B)))) (sin B) (- 1 (* x (cos B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (neg x) (+ (* 1/6 (- 1 x)) (* 1/2 x)) (/ (- 1 (* (cos B) x)) (sin B)) (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (* (+ 1 x) (* x x)) (- (pow (pow (sin B) 2) -1/2) (/ x (tan B))) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2) (* B B) (* x (cos B)) (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (/ x (tan B)))
7.0ms
x
@inf
((/ 1 (/ (sin B) (- 1 (* x (cos B))))) (/ (sin B) (- 1 (* x (cos B)))) (sin B) (- 1 (* x (cos B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (neg x) (+ (* 1/6 (- 1 x)) (* 1/2 x)) (/ (- 1 (* (cos B) x)) (sin B)) (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (* (+ 1 x) (* x x)) (- (pow (pow (sin B) 2) -1/2) (/ x (tan B))) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2) (* B B) (* x (cos B)) (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (/ x (tan B)))
5.0ms
x
@-inf
((/ 1 (/ (sin B) (- 1 (* x (cos B))))) (/ (sin B) (- 1 (* x (cos B)))) (sin B) (- 1 (* x (cos B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (neg x) (+ (* 1/6 (- 1 x)) (* 1/2 x)) (/ (- 1 (* (cos B) x)) (sin B)) (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (* (+ 1 x) (* x x)) (- (pow (pow (sin B) 2) -1/2) (/ x (tan B))) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2) (* B B) (* x (cos B)) (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (/ x (tan B)))
4.0ms
x
@0
((/ 1 (/ (sin B) (- 1 (* x (cos B))))) (/ (sin B) (- 1 (* x (cos B)))) (sin B) (- 1 (* x (cos B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (neg x) (+ (* 1/6 (- 1 x)) (* 1/2 x)) (/ (- 1 (* (cos B) x)) (sin B)) (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (* (+ 1 x) (* x x)) (- (pow (pow (sin B) 2) -1/2) (/ x (tan B))) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2) (* B B) (* x (cos B)) (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (/ x (tan B)))
4.0ms
B
@-inf
((/ 1 (/ (sin B) (- 1 (* x (cos B))))) (/ (sin B) (- 1 (* x (cos B)))) (sin B) (- 1 (* x (cos B))) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (- 1 x) B) (- 1 x) (neg x) (+ (* 1/6 (- 1 x)) (* 1/2 x)) (/ (- 1 (* (cos B) x)) (sin B)) (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (/ (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x))) (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (* 1 (+ 1 x)) (* (+ 1 x) (* x x)) (- (pow (pow (sin B) 2) -1/2) (/ x (tan B))) (pow (pow (sin B) 2) -1/2) (pow (sin B) 2) (* B B) (* x (cos B)) (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (/ x (tan B)))

simplify188.0ms (2.2%)

Memory
-23.6MiB live, 219.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04701832
114481771
246141708
084161566
Stop Event
iter limit
node limit
Counts
118 → 116
Calls
Call 1
Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ B (- 1 x))
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (+ (* -1 (* (pow B 2) (+ (* 1/5040 (/ 1 (- 1 x))) (+ (* 1/720 (/ x (pow (- 1 x) 2))) (+ (* 1/24 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* 1/2 (/ (* x (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (- 1 x)))))))) (* 1/120 (/ 1 (- 1 x)))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))) x) B)
(- (+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))) x)
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
1
(+ 1 (* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x))))
(/ 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)
(/ (- 1 (* x (cos B))) (sin B))
(/ (sin B) (- 1 (* x (cos B))))
(sin B)
(- 1 (* x (cos B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* B (+ (* 1/6 (- 1 x)) (* 1/2 x)))
(* B (- (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(* (pow B 2) (+ (* 1/6 (- 1 x)) (* 1/2 x)))
(* (pow B 2) (- (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))
(/ 1 (sin B))
(pow (sin B) 2)
(* x (cos B))
(* (pow B 2) (+ (* 1/6 (- 1 x)) (+ (* 1/2 x) (/ 1 (pow B 2)))))
(/ (* x (cos B)) (sin B))
(* -1 (* B (+ (* -1 (+ (* 1/6 (- 1 x)) (* 1/2 x))) (* -1 (/ (- 1 x) (pow B 2))))))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (sin B) (* x (* (cos B) (sin B))))
(+ (sin B) (* x (- (* x (* (pow (cos B) 2) (sin B))) (* -1 (* (cos B) (sin B))))))
(+ (sin B) (* x (- (* x (- (* x (* (pow (cos B) 3) (sin B))) (* -1 (* (pow (cos B) 2) (sin B))))) (* -1 (* (cos B) (sin B))))))
(+ 1 (* -1 (* x (cos B))))
(+ (* -1 (/ x B)) (/ 1 B))
(+ 1 (* -1 x))
(* -1 x)
1/6
(+ 1/6 (* 1/3 x))
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))
(+ 1 (* 1/6 (pow B 2)))
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))
(+ 1 x)
(+ 1 (* x (+ 1 (* -1 x))))
(+ 1 (* x (+ 1 (* x (- (* -1 x) 1)))))
(pow x 2)
(* (pow x 2) (+ 1 x))
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (sin B) (* x (cos B))))
(/ (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* x (pow (cos B) 2))))) x)
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) (/ (sin B) (* x (pow (cos B) 2)))) x)
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 3) (pow (cos B) 4))))) (+ (/ (sin B) (* x (pow (cos B) 2))) (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) x)
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 x) 1))
(* 1/3 x)
(* x (+ 1/3 (* 1/6 (/ 1 x))))
(/ (* x (- (* 1/3 (pow B 2)) 1)) B)
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))
(* x (- (* 1/3 (pow B 2)) 1))
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* (pow x 3) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* 1/3 (* (pow B 2) x))
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (/ (+ (/ (sin B) (cos B)) (/ (sin B) (* x (pow (cos B) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin B) (* x (pow (cos B) 3)))) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (sin B) (* x (pow (cos B) 4))) (* -1 (/ (sin B) (pow (cos B) 3)))) x)) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))
(* -1 (* x (+ 1 (* -1/3 (pow B 2)))))
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (/ 1 x) 1) x)))))
(* -1 (* (pow x 3) (+ 1 (* -1 (/ (- (+ (/ 1 x) (/ 1 (pow x 2))) 1) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))
Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/6 binary64)))) (*.f64 B B) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ (- (+ 1 (* (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 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) x) (fma.f64 (fma.f64 #s(literal -1/24 binary64) x (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/6 binary64)))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 B B) (fma.f64 #s(literal -1/24 binary64) x (fma.f64 #s(literal -1/120 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/6 binary64))))) (*.f64 B B) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 B B) (-.f64 #s(literal 1 binary64) x)) B)
(/ B (- 1 x))
(/.f64 B (-.f64 #s(literal 1 binary64) x))
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(fma.f64 (neg.f64 (pow.f64 B #s(literal 3 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/24 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (*.f64 B B) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (+ (* -1 (* (pow B 2) (+ (* 1/5040 (/ 1 (- 1 x))) (+ (* 1/720 (/ x (pow (- 1 x) 2))) (+ (* 1/24 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* 1/2 (/ (* x (- (* 1/120 (/ 1 (- 1 x))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (- 1 x)))))))) (* 1/120 (/ 1 (- 1 x)))) (+ (* -1/2 (/ (* x (+ (* 1/2 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (- 1 x))))) (- 1 x))) (* -1/24 (/ x (pow (- 1 x) 2)))))) (+ (* 1/6 (/ 1 (- 1 x))) (* 1/2 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (neg.f64 B) B) (fma.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/24 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/24 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 (/.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 #s(literal -1/24 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))) (*.f64 B B) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 B (-.f64 #s(literal 1 binary64) x)))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) #s(literal -1/6 binary64) B)
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(fma.f64 (pow.f64 B #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 B B) #s(literal -1/6 binary64)) B)
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
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rewrite293.0ms (3.4%)

Memory
22.7MiB live, 218.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055296
088282
1378250
23130226
08960225
Stop Event
iter limit
node limit
iter limit
Counts
25 → 890
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))
(sin.f64 B)
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64))
#s(approx (pow (sin B) 2) (*.f64 B B))
(*.f64 B B)
(*.f64 x (cos.f64 B))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 x (tan.f64 B))
Outputs
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 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 #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (sin.f64 B) #s(literal -2 binary64))) (pow.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (sin.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) (pow.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 B)) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) #s(literal 1 binary64))
(*.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)))
(pow.f64 (exp.f64 (-.f64 (log.f64 (sin.f64 B)) (log1p.f64 (*.f64 (neg.f64 x) (cos.f64 B))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) (/.f64 (sin.f64 B) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (sin.f64 B) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (sin.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 B) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (pow.f64 (sin.f64 B) #s(literal -2 binary64)))) (*.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 x) (cos.f64 B)))) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) (*.f64 (neg.f64 (sin.f64 B)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 x)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (*.f64 (neg.f64 x) (cos.f64 B)))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (*.f64 (cos.f64 B) x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (sin.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (sin.f64 B))) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (sin.f64 B) (neg.f64 (neg.f64 x)))) (*.f64 (sin.f64 B) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (sin.f64 B) (*.f64 (neg.f64 x) (cos.f64 B)))) (*.f64 (sin.f64 B) (neg.f64 (sin.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) (*.f64 (sin.f64 B) #s(literal -1 binary64))) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (tan.f64 B)) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (cos.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)))) (neg.f64 (sin.f64 B)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64))) (sin.f64 B))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (tan.f64 B))))
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (tan.f64 B))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (sin.f64 B) #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (/.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (sin.f64 B))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 B) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sin.f64 B)) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64)))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (sin.f64 B)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 B))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 B)))
(/.f64 (-.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))) (*.f64 (neg.f64 (sin.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 2 binary64))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (pow.f64 (sin.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) (*.f64 (neg.f64 (tan.f64 B)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) (*.f64 (neg.f64 (tan.f64 B)) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 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 (tan.f64 B)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) (*.f64 (neg.f64 (tan.f64 B)) (+.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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (neg.f64 x)))) (pow.f64 (tan.f64 B) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (tan.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (tan.f64 B)) (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (tan.f64 B)) #s(literal -1 binary64))) (*.f64 (neg.f64 (tan.f64 B)) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (tan.f64 B)))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (tan.f64 B)) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (tan.f64 B)) (tan.f64 B)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (tan.f64 B)) x)) (pow.f64 (tan.f64 B) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) (*.f64 (neg.f64 (tan.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (tan.f64 B)) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (tan.f64 B)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (neg.f64 (tan.f64 B)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (neg.f64 (sin.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))
(/.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))

eval352.0ms (4.1%)

Memory
7.5MiB live, 247.5MiB allocated
Compiler

Compiled 38 557 to 4 467 computations (88.4% saved)

prune193.0ms (2.3%)

Memory
-17.0MiB live, 96.4MiB allocated
Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New97322995
Fresh151833
Picked415
Done033
Total992441 036
Accuracy
100.0%
Counts
1 036 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
87.4%
(/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B) (sin.f64 B)) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
42.3%
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
76.4%
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
47.6%
(/.f64 #s(approx (- 1 (* (cos B) x)) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))
76.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
47.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (*.f64 (neg.f64 x) (cos.f64 B)))))
48.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
57.0%
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
71.9%
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
47.2%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
83.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))
71.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))))
56.9%
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
47.9%
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
75.0%
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
99.6%
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
48.2%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
48.3%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
35.1%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
35.9%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
26.4%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
24.2%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
48.2%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
48.3%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
3.0%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
39.0%
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
47.9%
#s(approx (/ 1 (/ (sin B) (- 1 (* x (cos B))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
31.4%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
11.6%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
43.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
9.1%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
11.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
21.9%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
48.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
24.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
26.5%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
46.2%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
35.8%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
24.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
24.3%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
39.0%
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
Compiler

Compiled 3 392 to 1 237 computations (63.5% saved)

regimes104.0ms (1.2%)

Memory
-12.1MiB live, 70.7MiB allocated
Counts
87 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 B (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(approx (/ 1 (sin B)) (/.f64 (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 (/ 1 (sin B)) (/.f64 (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 (pow (pow (sin B) 2) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ 1 (/ (sin B) (- 1 (* x (cos B))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (*.f64 (neg.f64 x) (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B) (sin.f64 B)) (pow.f64 (sin.f64 B) #s(literal 2 binary64)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 6 binary64)) (pow.f64 (sin.f64 B) #s(literal -6 binary64))) (*.f64 (fma.f64 (/.f64 x (tan.f64 B)) (-.f64 (pow.f64 (sin.f64 B) #s(literal -1 binary64)) (/.f64 x (tan.f64 B))) (pow.f64 (sin.f64 B) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64)))))
Outputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Calls

3 calls:

45.0ms
B
31.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
24.0ms
x
Results
AccuracySegmentsBranch
99.8%1B
99.8%1x
99.8%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes100.0ms (1.2%)

Memory
18.1MiB live, 56.2MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 B (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(approx (/ 1 (sin B)) (/.f64 (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 (/ 1 (sin B)) (/.f64 (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 (pow (pow (sin B) 2) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ 1 (/ (sin B) (- 1 (* x (cos B))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 #s(approx (pow (sin B) 2) (*.f64 B B)) #s(literal -1/2 binary64)))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
Calls

3 calls:

61.0ms
x
18.0ms
B
18.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Results
AccuracySegmentsBranch
99.8%1B
99.8%1x
99.8%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes106.0ms (1.2%)

Memory
-10.5MiB live, 77.4MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 #s(approx (/ x (tan B)) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 B (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (*.f64 x #s(approx (/ 1 (tan B)) (/.f64 #s(literal 1 binary64) B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(approx (/ 1 (sin B)) (/.f64 (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 (/ 1 (sin B)) (/.f64 (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 (pow (pow (sin B) 2) -1/2) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ 1 (/ (sin B) (- 1 (* x (cos B))))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (*.f64 (neg.f64 x) (cos.f64 B))) (sin.f64 B))
Outputs
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
Calls

3 calls:

50.0ms
B
36.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
16.0ms
x
Results
AccuracySegmentsBranch
78.1%2B
98.4%3x
98.4%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes32.0ms (0.4%)

Memory
-4.3MiB live, 34.0MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
Outputs
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
Calls

2 calls:

16.0ms
x
14.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Results
AccuracySegmentsBranch
98.3%3x
98.3%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes16.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
Outputs
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes97.0ms (1.1%)

Memory
-1.2MiB live, 72.0MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) #s(approx (+ (* (* B x) 1/3) (/ (neg x) B)) (*.f64 (*.f64 #s(literal 1/3 binary64) B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Outputs
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
Calls

3 calls:

64.0ms
x
17.0ms
B
13.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Results
AccuracySegmentsBranch
76.4%1B
76.4%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
76.4%1x
Compiler

Compiled 14 to 14 computations (0% saved)

regimes50.0ms (0.6%)

Memory
1.3MiB live, 78.7MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (/ x (tan B))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64))) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- 1 (* x x)) (*.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) B) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) B) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 B B) (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (fma.f64 (fma.f64 #s(literal 1/3 binary64) B (/.f64 #s(literal -1 binary64) B)) x (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) B) x) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) B) (/.f64 #s(literal 1 binary64) B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (/.f64 (neg.f64 x) B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 B x) (*.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 (neg.f64 B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/3 binary64) B (/.f64 #s(literal 1 binary64) B)) (/.f64 (fma.f64 #s(literal 1/6 binary64) B (/.f64 #s(literal 1 binary64) B)) x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 x (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 #s(approx (- (* 1 (+ 1 x)) (* (+ 1 x) (* x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (* (+ 1 x) (+ 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(approx (/ (* (- 1 (* x x)) (+ x 1)) (- 1 x)) (*.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 B #s(literal -1 binary64)) #s(approx (- 1 x) (neg.f64 x))))
Outputs
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
Calls

3 calls:

19.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
15.0ms
B
12.0ms
x
Results
AccuracySegmentsBranch
48.3%1B
48.3%1x
48.3%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes14.0ms (0.2%)

Memory
-4.4MiB live, 33.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) #s(approx (/ (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) B) (*.f64 (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) B)))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 B B) #s(literal 1 binary64))) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (/ (- 1 (* x x)) (+ 1 x)) B) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x B B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (sin B) (- 1 (* x (cos B)))) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 #s(approx (- (+ (* (+ (* 1/6 (- 1 x)) (* 1/2 x)) (* B B)) 1) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) B) B #s(literal -1 binary64)) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 #s(literal 1 binary64) B (*.f64 B (neg.f64 x))) (*.f64 B B)))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
Calls

3 calls:

5.0ms
x
4.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
4.0ms
B
Results
AccuracySegmentsBranch
48.3%1B
48.3%1x
48.3%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
Calls

3 calls:

2.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
1.0ms
B
1.0ms
x
Results
AccuracySegmentsBranch
41.2%3(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
28.5%2B
47.2%3x
Compiler

Compiled 14 to 14 computations (0% saved)

regimes4.0ms (0%)

Memory
11.3MiB live, 11.3MiB 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)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
Calls

3 calls:

1.0ms
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
1.0ms
B
1.0ms
x
Results
AccuracySegmentsBranch
26.5%1B
26.5%1(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
26.5%1x
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
527.2166606042408
236241758.53094995
0.0ms
-12932015.09502317
-138.89476921568124
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch81.0ms (0.9%)

Memory
-28.2MiB live, 56.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
3.7823297244335526e-7
2.3559923012407262
22.0ms
-17125597.034241736
-0.7332232397951061
Samples
66.0ms288×0valid
Compiler

Compiled 555 to 501 computations (9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 39.0ms (68.4% of total)
ival-tan: 7.0ms (12.3% of total)
ival-sin: 6.0ms (10.5% of total)
ival-mult: 2.0ms (3.5% of total)
ival-add: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7823297244335526e-7
2.3559923012407262
1.0ms
-17125597.034241736
-0.7332232397951061
Compiler

Compiled 519 to 483 computations (6.9% saved)

bsearch29.0ms (0.3%)

Memory
7.8MiB live, 44.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
3.7823297244335526e-7
2.3559923012407262
19.0ms
-330833524.762524
-17125597.034241736
Samples
20.0ms160×0valid
Compiler

Compiled 671 to 527 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-tan: 7.0ms (43.3% of total)
ival-sin: 4.0ms (24.8% of total)
ival-div: 2.0ms (12.4% of total)
ival-add: 1.0ms (6.2% of total)
ival-mult: 1.0ms (6.2% of total)
ival-neg: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify103.0ms (1.2%)

Memory
4.3MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
089290
1158276
2231276
3369274
4566273
51085272
63104272
77506272
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -10000000 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 1000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(if (<=.f64 x #s(literal -17500000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
Outputs
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (pow.f64 (sin.f64 B) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -10000000 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 1000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (or (<=.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal -10000000 binary64)) (not (<=.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))) #s(literal 1000 binary64)))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (pow.f64 B #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (sin.f64 B) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (pow.f64 B #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) (pow.f64 (/.f64 (sin.f64 B) #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -3/2 binary64)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)))) (-.f64 #s(approx (pow (pow (sin B) 2) -1/2) (pow.f64 B #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) (/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* (cos B) x)) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
#s(approx (/ (- 1 (* (cos B) x)) (sin B)) (/.f64 (-.f64 (fma.f64 #s(approx (+ (* 1/6 (- 1 x)) (* 1/2 x)) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 B B) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(if (<=.f64 x #s(literal -17500000 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))))
(if (or (<=.f64 x #s(literal -17500000 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

soundness1.7s (20.1%)

Memory
-0.2MiB live, 1 123.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03231033
19331007
22899975
08196885
03221007
1935951
23102870
08196782
04701832
114481771
246141708
084161566
043270
068180
1266174
21989174
08782173
039175
065150
1221146
21518146
08403146
0135386
1368379
21234361
34537356
08071322
01033
01726
15925
237625
3435025
0901125
Stop Event
fuel
iter limit
node limit
iter 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
node limit
Compiler

Compiled 890 to 470 computations (47.2% saved)

preprocess94.0ms (1.1%)

Memory
-8.0MiB live, 110.8MiB allocated
Remove

(negabs B)

Compiler

Compiled 660 to 256 computations (61.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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