Trigonometry A

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (22.1%)

Memory
47.4MiB live, 1 774.7MiB allocated
Samples
912.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 715.0ms
ival-sin: 254.0ms (35.5% of total)
ival-cos: 171.0ms (23.9% of total)
ival-mult: 117.0ms (16.4% of total)
ival-add: 53.0ms (7.4% of total)
ival-div: 51.0ms (7.1% of total)
ival-<=: 44.0ms (6.1% of total)
exact: 12.0ms (1.7% of total)
ival-and: 11.0ms (1.5% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain174.0ms (2.9%)

Memory
-8.9MiB live, 147.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
52.0ms512×0valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 12.0ms (32.7% of total)
ival-cos: 11.0ms (30% of total)
ival-mult: 7.0ms (19.1% of total)
ival-div: 3.0ms (8.2% of total)
ival-add: 3.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess163.0ms (2.7%)

Memory
21.9MiB live, 138.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17657
216455
330855
456955
5114655
6262755
7535255
0911
01511
13211
24911
38411
417211
543511
6111611
7248311
8497611
0806110
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify147.0ms (2.5%)

Memory
-46.8MiB live, 98.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
13232
24932
38432
417232
543532
6111632
7248332
8497632
0806130
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(cos.f64 v)

localize39.0ms (0.6%)

Memory
-9.7MiB live, 28.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
accuracy0.01953125
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.125
(*.f64 e (sin.f64 v))
accuracy0.15234375
(*.f64 e (cos.f64 v))
Samples
25.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 6.0ms (34.1% of total)
ival-cos: 5.0ms (28.5% of total)
ival-mult: 3.0ms (17.1% of total)
ival-div: 2.0ms (11.4% of total)
ival-add: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
Outputs
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
e
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
1.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))

simplify146.0ms (2.4%)

Memory
24.3MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0182800
1606788
22097747
37186720
08180668
Stop Event
iter limit
node limit
Counts
37 → 35
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (neg.f64 (cos.f64 v))) (sin.f64 v)) (cos.f64 v))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (sin.f64 v) (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (+.f64 (sin.f64 v) (/.f64 (/.f64 (neg.f64 (sin.f64 v)) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64)) e (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 #s(literal 1/120 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64)) e (*.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)) (/.f64 (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 (fma.f64 (*.f64 e (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (*.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))) v)
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(sin v)
(sin.f64 v)

rewrite158.0ms (2.6%)

Memory
-10.6MiB live, 183.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01527
14927
225627
3219527
0977125
Stop Event
iter limit
node limit
iter limit
Counts
5 → 290
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))) (*.f64 (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))
(neg.f64 (neg.f64 (sin.f64 v)))
(sin.f64 (neg.f64 (+.f64 v (PI.f64))))
(sin.f64 (+.f64 (+.f64 v (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 v) (PI.f64)))
(sin.f64 v)
(cos.f64 (+.f64 (+.f64 v (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (cos.f64 v))) (fabs.f64 (fabs.f64 e)))
(*.f64 (fabs.f64 (fabs.f64 e)) (fabs.f64 (fabs.f64 (cos.f64 v))))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 e))) (fabs.f64 (cos.f64 v)))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v))) (fabs.f64 e))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) e)) (fabs.f64 (cos.f64 v)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 e))) (sqrt.f64 (cos.f64 v)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (cos.f64 v))) (sqrt.f64 (neg.f64 e)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v))) (sqrt.f64 (*.f64 (neg.f64 e) (cos.f64 v))))
(*.f64 (sqrt.f64 (neg.f64 e)) (sqrt.f64 (*.f64 (cos.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) (sqrt.f64 (*.f64 (cos.f64 v) e)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)) (sqrt.f64 (cos.f64 v)))
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (neg.f64 e) (*.f64 (neg.f64 e) (cos.f64 v)))))
(*.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (*.f64 (*.f64 (cos.f64 v) e) e)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (sqrt.f64 e))
(*.f64 (sqrt.f64 e) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (cos.f64 v)) (fabs.f64 e))
(*.f64 (fabs.f64 e) (fabs.f64 (cos.f64 v)))
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 e) (cos.f64 v)))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e (*.f64 (cos.f64 v) e))
(fma.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v)) (*.f64 (cos.f64 v) e))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 e) (cos.f64 v)))
(fabs.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (cos.f64 v) e))) (sinh.f64 (log.f64 (*.f64 (cos.f64 v) e))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 v)) e) (*.f64 (cos.f64 v) e))
(+.f64 (*.f64 e (*.f64 #s(literal 0 binary64) (sin.f64 v))) (*.f64 (cos.f64 v) e))

eval43.0ms (0.7%)

Memory
-4.6MiB live, 79.2MiB allocated
Compiler

Compiled 9 757 to 1 104 computations (88.7% saved)

prune9.0ms (0.2%)

Memory
30.2MiB live, 30.2MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3148322
Fresh000
Picked011
Done000
Total3149323
Accuracy
99.8%
Counts
323 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.7%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
50.3%
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.8%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
98.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 333 to 247 computations (25.8% saved)

simplify218.0ms (3.6%)

Memory
1.3MiB live, 196.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
cost-diff2
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
cost-diff2
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
cost-diff0
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff0
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 e (+.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044305
077299
1142295
2350295
31304292
44264292
57864292
08034285
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
(pow.f64 v #s(literal 3 binary64))
v
#s(literal 3 binary64)
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -1/5040 binary64) e)
#s(literal -1/5040 binary64)
e
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) v)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v e)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (pow.f64 v #s(literal 3 binary64)) v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
#s(approx (* e (sin v)) (*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (pow.f64 v #s(literal 3 binary64)) v)))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
(*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (pow.f64 v #s(literal 3 binary64)) v))
(pow.f64 v #s(literal 3 binary64))
v
#s(literal 3 binary64)
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) e)
(pow.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -1/5040 binary64) e)
#s(literal -1/5040 binary64)
e
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e)
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) v)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v e)
(*.f64 e v)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(cos.f64 v)

localize117.0ms (2%)

Memory
-12.0MiB live, 148.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 e (cos.f64 v))
accuracy9.177738868319823
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
accuracy9.629602785406329
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
accuracy31.52299247414809
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
accuracy0.0
(cos.f64 v)
accuracy0.01171875
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy0.1171875
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
accuracy0.9237312720650257
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
accuracy0.0
(sin.f64 v)
accuracy0.01953125
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy0.125
(*.f64 e (sin.f64 v))
accuracy0.9826352633680683
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy0.0
(+.f64 #s(literal 1 binary64) e)
accuracy0.00390625
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
accuracy0.01171875
(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy31.415850502710693
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
accuracy0.0
(sin.f64 v)
accuracy0.0
(cos.f64 v)
accuracy0.01953125
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.125
(*.f64 (sin.f64 v) e)
Samples
91.0ms256×0valid
Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 23.0ms (33.5% of total)
const: 11.0ms (16% of total)
ival-sin: 10.0ms (14.6% of total)
ival-add: 8.0ms (11.7% of total)
ival-cos: 5.0ms (7.3% of total)
ival-pow: 5.0ms (7.3% of total)
ival-div: 4.0ms (5.8% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-6.9MiB live, 30.7MiB allocated
Counts
23 → 102
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(cos.f64 v)
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(*.f64 e (cos.f64 v))
Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ 1 (* -1 (* e (cos v))))
(* e (+ v (* (pow v 3) (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))))
(* e (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (cos v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (+ (* -1 v) (* (pow v 3) (+ (* -1 (- (* 1/120 (pow v 2)) 1/6)) (* 1/5040 (pow v 4)))))))
(* -1 (* e (+ (* -1 (- (* 1/120 (pow v 2)) 1/6)) (* 1/5040 (pow v 4)))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(* -1/6 e)
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* -1/5040 (* e (pow v 7)))
(* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(cos v)
(* 1/120 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
e
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
6.0ms
e
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
5.0ms
e
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
3.0ms
v
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
3.0ms
v
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))

simplify164.0ms (2.7%)

Memory
29.2MiB live, 143.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04111804
114901710
258461696
085551577
Stop Event
iter limit
node limit
Counts
102 → 100
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ 1 (* -1 (* e (cos v))))
(* e (+ v (* (pow v 3) (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))))
(* e (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (cos v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (+ (* -1 v) (* (pow v 3) (+ (* -1 (- (* 1/120 (pow v 2)) 1/6)) (* 1/5040 (pow v 4)))))))
(* -1 (* e (+ (* -1 (- (* 1/120 (pow v 2)) 1/6)) (* 1/5040 (pow v 4)))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(* -1/6 e)
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* -1/5040 (* e (pow v 7)))
(* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(cos v)
(* 1/120 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (+ v (* e (- (* e v) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e)
e
(* e (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(* e (+ 1 (* e (- e 1))))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(+ 1 e)
(-.f64 e #s(literal -1 binary64))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(+ 1 (* -1 (* e (cos v))))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(* e (+ v (* (pow v 3) (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))))
(*.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) (pow.f64 v #s(literal 3 binary64)) v) e)
(* e (- (+ (* -1/5040 (pow v 4)) (* 1/120 (pow v 2))) 1/6))
(*.f64 (-.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/6 binary64)) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
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(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(*.f64 (fma.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) e))) (pow.f64 v #s(literal 7 binary64)))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(*.f64 (fma.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/5040 binary64) e (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/120 binary64) (/.f64 e (pow.f64 v #s(literal 6 binary64)))))) (pow.f64 v #s(literal 7 binary64)))
(* -1/5040 (* e (pow v 4)))
(*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) #s(literal -1/5040 binary64))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (pow.f64 v #s(literal 4 binary64)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(*.f64 (fma.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) e))) (pow.f64 v #s(literal 4 binary64)))
(cos v)
(cos.f64 v)
(* 1/120 (* e (pow v 2)))
(*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(*.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v)
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) e)) (pow.f64 v #s(literal 7 binary64)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 7 binary64))) (fma.f64 #s(literal -1/120 binary64) (/.f64 e (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) e))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 e (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (/.f64 e (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 v #s(literal 4 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) e))))) (pow.f64 v #s(literal 7 binary64)))

rewrite491.0ms (8.2%)

Memory
-142.1MiB live, 278.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044251
077244
1253240
21602237
08428233
Stop Event
iter limit
node limit
iter limit
Counts
23 → 609
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(cos.f64 v)
#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(*.f64 e (cos.f64 v))
Outputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))) (-.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))))
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(/.f64 (neg.f64 #s(approx (* e (sin v)) (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (* e (sin v)) (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (* e (sin v)) (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (sin.f64 v) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (sin.f64 v) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 v) #s(literal 1 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v)))
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 v)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) v))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 v))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) (*.f64 #s(literal 0 binary64) (sin.f64 v)))
(+.f64 (*.f64 (sin.f64 v) #s(literal 0 binary64)) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
#s(approx (* e (sin v)) (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e)
(*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) e) (*.f64 #s(literal 1/6 binary64) e))) (fma.f64 (*.f64 e (*.f64 #s(literal 1/120 binary64) v)) v (*.f64 #s(literal 1/6 binary64) e)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 e (*.f64 #s(literal 1/120 binary64) v)) v (*.f64 (neg.f64 e) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) e) (*.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal 1/6 binary64) e)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 e) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 e) #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 (neg.f64 e) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)) e)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) e)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 e (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 e (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 e #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (*.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)) e) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) e) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 e (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))
(/.f64 (*.f64 e (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e)))
(/.f64 (fma.f64 (pow.f64 (*.f64 e #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (*.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e)))))
(fma.f64 (*.f64 e (*.f64 #s(literal 1/120 binary64) v)) v (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (*.f64 e #s(literal 1/120 binary64)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (*.f64 e v) (*.f64 #s(literal 1/120 binary64) v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 #s(literal -1/6 binary64) e (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e))
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) (*.f64 e v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 e (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e))
(fma.f64 v (*.f64 (*.f64 #s(literal 1/120 binary64) v) e) (*.f64 #s(literal -1/6 binary64) e))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))) (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal 1/6 binary64) e))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 (neg.f64 e) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))) (/.f64 (*.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))))
(+.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(*.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (cos.f64 v))

eval89.0ms (1.5%)

Memory
7.7MiB live, 157.9MiB allocated
Compiler

Compiled 29 162 to 2 908 computations (90% saved)

prune30.0ms (0.5%)

Memory
-8.4MiB live, 66.8MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New61920639
Fresh303
Picked235
Done011
Total62424648
Accuracy
99.9%
Counts
648 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.7%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.6%
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
93.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e))
73.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
98.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
64.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
Compiler

Compiled 1 625 to 992 computations (39% saved)

simplify124.0ms (2.1%)

Memory
-0.1MiB live, 151.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff3
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
cost-diff3
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
cost-diff0
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
cost-diff0
(*.f64 e v)
cost-diff0
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
cost-diff0
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064500
0103500
1187468
2482464
32006464
46290464
08736439
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
(fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
e
#s(literal -1/8 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/120 binary64)
v
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
(*.f64 v v)
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 e v)
e
v
(+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 e #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 e #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e)
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) e)
(fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
(*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v)
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))
e
#s(literal -1/8 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/120 binary64)
v
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
(*.f64 v v)
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) v)))
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) v)
(*.f64 e v)
e
v
(+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 e #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64))
(-.f64 e #s(literal 1 binary64))

localize184.0ms (3.1%)

Memory
7.2MiB live, 299.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 e v)
accuracy0.00390625
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy0.01171875
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy31.415850502710693
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0.0859375
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
accuracy0.9237312720650257
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
accuracy9.625696535406329
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
accuracy31.56231904564508
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
accuracy0.00390625
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
accuracy31.415850502710693
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
accuracy62.99850101854704
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy0.0
(*.f64 e v)
accuracy1.446366621953992
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
accuracy31.415850502710693
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
accuracy0.00390625
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
accuracy0.01953125
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
accuracy0.125
(*.f64 (sin.f64 v) e)
accuracy0.1484375
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
Samples
140.0ms256×0valid
Compiler

Compiled 376 to 61 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 35.0ms (31.1% of total)
const: 18.0ms (16% of total)
ival-add: 14.0ms (12.4% of total)
ival-cos: 14.0ms (12.4% of total)
ival-pow: 10.0ms (8.9% of total)
ival-div: 8.0ms (7.1% of total)
ival-sin: 6.0ms (5.3% of total)
ival-sub: 5.0ms (4.4% of total)
ival-neg: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.7%)

Memory
-11.5MiB live, 62.1MiB allocated
Counts
23 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(/ -1 e)
(/ (- e 1) e)
1/120
(+ 1/120 (* -2/15 e))
-1/6
(- (* 2/3 e) 1/6)
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(* e (+ v (* -1 (* (pow e 3) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) v)) (* -1 v))) v))))
(/ (- (* -1 (* e (cos v))) 1) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(* 1/120 v)
(+ (* -2/15 (* e v)) (* 1/120 v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* -2/15 e)
(* e (- (* 1/120 (/ 1 e)) 2/15))
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+ v (+ (* -1 (/ v e)) (+ (* -1 (/ v (pow e 3))) (/ v (pow e 2)))))
(/ v (pow e 2))
(/ (+ v (* -1 (/ v (pow e 3)))) (pow e 2))
(/ (- (+ v (/ v (pow e 6))) (/ v (pow e 3))) (pow e 2))
(/ (- (+ v (* -1 (/ v (pow e 9)))) (+ (* -1 (/ v (pow e 6))) (/ v (pow e 3)))) (pow e 2))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(* -2/15 (* e v))
(* e (+ (* -2/15 v) (* 1/120 (/ v e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 2))
(/ (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 3)))) (pow e 2))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (- 1 e))
(+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))))
(/ (* e (* v (+ 1 (* e (- e 1))))) (+ 1 (pow e 3)))
(/ (* e v) (+ 1 (pow e 3)))
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(* v (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(* e (* (pow v 4) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 2) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
e
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
8.0ms
e
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
8.0ms
v
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
5.0ms
v
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
5.0ms
v
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (- (neg (cos v)) (/ 1 e)) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))

simplify180.0ms (3%)

Memory
13.5MiB live, 167.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04802007
116941897
263721871
081741773
Stop Event
iter limit
node limit
Counts
123 → 121
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(/ -1 e)
(/ (- e 1) e)
1/120
(+ 1/120 (* -2/15 e))
-1/6
(- (* 2/3 e) 1/6)
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(* e (+ v (* -1 (* (pow e 3) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) v)) (* -1 v))) v))))
(/ (- (* -1 (* e (cos v))) 1) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(* 1/120 v)
(+ (* -2/15 (* e v)) (* 1/120 v))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* -2/15 e)
(* e (- (* 1/120 (/ 1 e)) 2/15))
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+ v (+ (* -1 (/ v e)) (+ (* -1 (/ v (pow e 3))) (/ v (pow e 2)))))
(/ v (pow e 2))
(/ (+ v (* -1 (/ v (pow e 3)))) (pow e 2))
(/ (- (+ v (/ v (pow e 6))) (/ v (pow e 3))) (pow e 2))
(/ (- (+ v (* -1 (/ v (pow e 9)))) (+ (* -1 (/ v (pow e 6))) (/ v (pow e 3)))) (pow e 2))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(* -2/15 (* e v))
(* e (+ (* -2/15 v) (* 1/120 (/ v e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 2))
(/ (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 3)))) (pow e 2))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (- 1 e))
(+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))))
(/ (* e (* v (+ 1 (* e (- e 1))))) (+ 1 (pow e 3)))
(/ (* e v) (+ 1 (pow e 3)))
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(* v (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(* e (* (pow v 4) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 2) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 (-.f64 v (*.f64 e v)) e)
(* e (+ v (* e (- (* e v) v))))
(*.f64 (fma.f64 (fma.f64 e v (neg.f64 v)) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 (fma.f64 (fma.f64 (-.f64 v (*.f64 e v)) e (neg.f64 v)) e v) e)
e
(* e (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(* e (+ 1 (* e (- e 1))))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- e 1) e)
(/.f64 (-.f64 e #s(literal 1 binary64)) e)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -2/15 e))
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 2/3 e) 1/6)
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)) e (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) v)) e e)
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(*.f64 (fma.f64 (fma.f64 e v (neg.f64 v)) e v) e)
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 v (*.f64 e v)) e (neg.f64 v)) e v) e)
(* e (+ v (* -1 (* (pow e 3) v))))
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 e #s(literal 3 binary64)) v) v) (pow.f64 e #s(literal 3 binary64)) v) e)
(* e (+ v (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) v)) (* -1 v))) v))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) (pow.f64 e #s(literal 3 binary64))) v) (pow.f64 e #s(literal 4 binary64)) (*.f64 e v))
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(*.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) e (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 v v))) #s(literal 1/6 binary64)) e)
(* 1/120 v)
(*.f64 #s(literal 1/120 binary64) v)
(+ (* -2/15 (* e v)) (* 1/120 v))
(*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)))
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(- 1 (/ 1 e))
(/.f64 (-.f64 e #s(literal 1 binary64)) e)
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 e #s(literal 1 binary64))) e)
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (-.f64 e #s(literal 1 binary64))) e) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))))
(* -2/15 e)
(*.f64 #s(literal -2/15 binary64) e)
(* e (- (* 1/120 (/ 1 e)) 2/15))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) e)
(* 2/3 e)
(*.f64 #s(literal 2/3 binary64) e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(*.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) e)
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) #s(literal 1 binary64))) (*.f64 e e))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (+ (* -1 (/ v e)) (+ (* -1 (/ v (pow e 3))) (/ v (pow e 2)))))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(/ v (pow e 2))
(/.f64 (/.f64 v e) e)
(/ (+ v (* -1 (/ v (pow e 3)))) (pow e 2))
(/.f64 (/.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) e) e)
(/ (- (+ v (/ v (pow e 6))) (/ v (pow e 3))) (pow e 2))
(/.f64 (-.f64 (+.f64 (/.f64 v (pow.f64 e #s(literal 6 binary64))) v) (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (*.f64 e e))
(/ (- (+ v (* -1 (/ v (pow e 9)))) (+ (* -1 (/ v (pow e 6))) (/ v (pow e 3)))) (pow e 2))
(/.f64 (-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 9 binary64)))) (fma.f64 (/.f64 v (pow.f64 e #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 v (pow.f64 e #s(literal 3 binary64))))) (*.f64 e e))
(* -1 (cos v))
(neg.f64 (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(fma.f64 #s(literal -1 binary64) (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
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(* v (+ 1 (* -1/6 (pow v 2))))
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(* e (- 1 e))
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rewrite182.0ms (3.1%)

Memory
22.1MiB live, 175.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064378
0103378
1384336
22898336
08352319
Stop Event
iter limit
node limit
iter limit
Counts
23 → 310
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
Outputs
(*.f64 (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) (sin.f64 v))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
(*.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v))
(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v)
(*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))))
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64))))
(-.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 e #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e))))))
(/.f64 (-.f64 (pow.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (-.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 1/120 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/64 binary64) (*.f64 e e))) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))
(/.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -8/3375 binary64) #s(literal 1/1728000 binary64)) (+.f64 (pow.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (*.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))))
(fma.f64 #s(literal -1/120 binary64) e (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/8 binary64) e)))
(fma.f64 #s(literal -1/8 binary64) e (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64))
(fma.f64 e #s(literal -1/120 binary64) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/8 binary64) e)))
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))))
(-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal 1/8 binary64) e))
(-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 (neg.f64 e) #s(literal -1/8 binary64)))
(+.f64 (fma.f64 #s(literal -1/8 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/120 binary64) e))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e))))))
(+.f64 (*.f64 e #s(literal -2/15 binary64)) #s(literal 1/120 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(+.f64 (*.f64 #s(literal -1/120 binary64) e) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/8 binary64) e)))
(+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e))
(+.f64 #s(literal 1/120 binary64) (*.f64 e #s(literal -2/15 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 e e))) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))
(/.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 8/27 binary64) #s(literal -1/216 binary64)) (+.f64 (pow.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))
(fma.f64 #s(literal 1/6 binary64) e (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))
(fma.f64 e #s(literal 1/6 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) e))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) e))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) e) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(+.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
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(fma.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e))
(fma.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 e (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e)) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e))
(fma.f64 (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e) (*.f64 (-.f64 e #s(literal 1 binary64)) e) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e))
(fma.f64 (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e)))
(-.f64 (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e))
(+.f64 (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e) (*.f64 (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) e) (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 9 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 e #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal 3 binary64))))
(*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e)
(*.f64 (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) e))
(*.f64 e (*.f64 (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 v (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 v (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 v) e) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 v) e)) (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 e v)) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 e v) #s(literal 1 binary64)) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 v) e)) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 v) e) (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 v) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 e v) (neg.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))) e)
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (neg.f64 e)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(/.f64 (*.f64 (neg.f64 e) (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) e))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -2 binary64))))))
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) e)
(*.f64 e (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) #s(literal 2 binary64)) (pow.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))) e) (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64))) e) (fma.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (-.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v)))))
(/.f64 (*.f64 e (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) #s(literal 2 binary64)) (pow.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 e (fma.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (-.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v)))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (*.f64 #s(literal 1/2 binary64) e)) e (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) e))
(fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) e (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) e))
(fma.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) e (*.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) e))
(fma.f64 e (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(fma.f64 e (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) (*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(fma.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) (*.f64 e (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v)))
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (*.f64 #s(literal 1/2 binary64) e)) e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) e))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) e) (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) e))
(+.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) e) (*.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v) e))
(+.f64 (*.f64 e (fma.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v (*.f64 #s(literal 1/2 binary64) e))) (*.f64 e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(+.f64 (*.f64 e (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v)) (*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(+.f64 (*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 e (*.f64 (*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v) v)))
(*.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) v)
(*.f64 v (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64))) v) (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))))
(/.f64 (*.f64 v (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -1/8 binary64) e) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(/.f64 (*.f64 v (fma.f64 #s(literal -1/512 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/64 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (-.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 #s(literal -1/8 binary64) e)))))
(fma.f64 (*.f64 e #s(literal -2/15 binary64)) v (*.f64 #s(literal 1/120 binary64) v))
(fma.f64 (*.f64 #s(literal -1/8 binary64) e) v (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) v))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) v (*.f64 (*.f64 #s(literal -1/8 binary64) e) v))
(fma.f64 v (*.f64 e #s(literal -2/15 binary64)) (*.f64 v #s(literal 1/120 binary64)))
(fma.f64 v (*.f64 #s(literal -1/8 binary64) e) (*.f64 v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(fma.f64 v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 v (*.f64 #s(literal -1/8 binary64) e)))
(+.f64 (*.f64 (*.f64 e #s(literal -2/15 binary64)) v) (*.f64 #s(literal 1/120 binary64) v))
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) e) v) (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) v))
(+.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) v) (*.f64 (*.f64 #s(literal -1/8 binary64) e) v))
(+.f64 (*.f64 v (*.f64 e #s(literal -2/15 binary64))) (*.f64 v #s(literal 1/120 binary64)))
(+.f64 (*.f64 v (*.f64 #s(literal -1/8 binary64) e)) (*.f64 v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(+.f64 (*.f64 v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) (*.f64 v (*.f64 #s(literal -1/8 binary64) e)))

eval84.0ms (1.4%)

Memory
-23.3MiB live, 135.5MiB allocated
Compiler

Compiled 22 309 to 2 389 computations (89.3% saved)

prune43.0ms (0.7%)

Memory
7.9MiB live, 56.7MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New41612428
Fresh41115
Picked325
Done044
Total42329452
Accuracy
99.9%
Counts
452 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.7%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
98.2%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 e))))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.6%
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
73.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
98.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
64.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
49.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
49.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
25.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
Compiler

Compiled 2 277 to 1 444 computations (36.6% saved)

simplify93.0ms (1.6%)

Memory
13.1MiB live, 123.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
cost-diff0
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
cost-diff0
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff0
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
cost-diff0
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
cost-diff0
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
cost-diff0
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
cost-diff1
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
cost-diff0
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
cost-diff0
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
cost-diff0
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084691
0123691
1234644
2606644
32194640
08115613
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(pow.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
(*.f64 e v)
e
v
(fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v)
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
#s(literal -1/6 binary64)
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
(*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
(fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64))
(*.f64 v v)
v
#s(literal -2/15 binary64)
#s(literal 2/3 binary64)
e
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
(fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v)
(pow.f64 e #s(literal 3 binary64))
e
#s(literal 3 binary64)
(neg.f64 v)
v
(fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(pow.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)
(*.f64 e v)
e
v
(fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v)
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e)
(fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64))
(*.f64 v v)
v
#s(literal -2/15 binary64)
#s(literal 2/3 binary64)
e
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (neg.f64 v) (-.f64 (pow.f64 e #s(literal 4 binary64)) e)))))
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (neg.f64 v) (-.f64 (pow.f64 e #s(literal 4 binary64)) e))))
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (neg.f64 v) (-.f64 (pow.f64 e #s(literal 4 binary64)) e)))
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
(*.f64 (neg.f64 v) (-.f64 (pow.f64 e #s(literal 4 binary64)) e))
(fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v)
(fma.f64 (neg.f64 v) (pow.f64 e #s(literal 3 binary64)) v)
(pow.f64 e #s(literal 3 binary64))
e
#s(literal 3 binary64)
(neg.f64 v)
v
(fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64))
(-.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)

localize216.0ms (3.6%)

Memory
15.3MiB live, 355.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
accuracy0.01171875
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.4133631279046312
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
accuracy31.415850502710693
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy3.2164393575960473
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
accuracy9.853874251447849
(*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
accuracy31.56231904564508
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy61.51661357725046
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
accuracy0.375
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v)
accuracy0.9237312720650257
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
accuracy2.40286713993494
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
accuracy31.511487592326393
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
accuracy0.0
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
accuracy0.1171875
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
accuracy0.9237312720650257
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
accuracy31.656082003670242
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
accuracy0.00390625
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
accuracy0.01953125
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
accuracy0.125
(*.f64 (sin.f64 v) e)
accuracy0.1484375
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
Samples
159.0ms256×0valid
Compiler

Compiled 415 to 75 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 55.0ms (40.9% of total)
ival-add: 25.0ms (18.6% of total)
const: 19.0ms (14.1% of total)
ival-cos: 11.0ms (8.2% of total)
ival-sin: 6.0ms (4.5% of total)
ival-pow: 6.0ms (4.5% of total)
ival-div: 4.0ms (3% of total)
ival-sub: 4.0ms (3% of total)
ival-neg: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.8%)

Memory
13.4MiB live, 129.3MiB allocated
Counts
26 → 154
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v)
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
v
(+ v (* -1 (* e v)))
-1/6
(- (* 2/3 e) 1/6)
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e v)
(* e (+ v (* -1 (* (pow e 3) v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) v)) (* -1 v))) v))))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* -1/6 v)
(+ (* -1/6 v) (* 2/3 (* e v)))
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)))
(* (pow e 2) (+ (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* -1 (* (pow e 4) v))
(* (pow e 4) (+ (* -1 v) (/ v (pow e 3))))
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+ v (+ (* -1 (/ v e)) (+ (* -1 (/ v (pow e 3))) (/ v (pow e 2)))))
(/ v (pow e 2))
(/ (+ v (* -1 (/ v (pow e 3)))) (pow e 2))
(/ (- (+ v (/ v (pow e 6))) (/ v (pow e 3))) (pow e 2))
(/ (- (+ v (* -1 (/ v (pow e 9)))) (+ (* -1 (/ v (pow e 6))) (/ v (pow e 3)))) (pow e 2))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* 2/3 (* e v))
(* e (+ (* -1/6 (/ v e)) (* 2/3 v)))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1)))
(* (pow e 2) (+ (* -1 (/ (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)) e)) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 2))
(/ (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 3)))) (pow e 2))
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(* v (- 1 e))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e))))
(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))))))
(* e (- 1 e))
(+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))))
(* e (* v (+ 1 (* -1 (pow e 3)))))
(/ (* e (* v (+ 1 (* e (- e 1))))) (+ 1 (pow e 3)))
(/ (* e v) (+ 1 (pow e 3)))
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(* v (- (* 2/3 e) 1/6))
(* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(+ (* -2/15 (* e (pow v 2))) (* 2/3 e))
(* 2/3 (pow e 2))
(+ (* -2/15 (* (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* e (* (pow v 5) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 5) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* (pow v 5) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(* e (* (pow v 4) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 2) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* -2/15 (* e (pow v 2)))
(* (pow v 2) (+ (* -2/15 e) (* 2/3 (/ e (pow v 2)))))
(* -2/15 (* (pow e 2) (pow v 2)))
(* (pow v 2) (+ (* -2/15 (pow e 2)) (* 2/3 (/ (pow e 2) (pow v 2)))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))))
(* -1 (* e (* v (- (pow e 3) 1))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
e
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (+ -1/6 (* 2/3 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (pow e 3) (neg v)) v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (+ -1/6 (* 2/3 e)) v) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* (* v v) -2/15) 2/3) e) (* (* (+ (* (* v v) -2/15) 2/3) e) e))
9.0ms
e
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (+ -1/6 (* 2/3 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (pow e 3) (neg v)) v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (+ -1/6 (* 2/3 e)) v) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* (* v v) -2/15) 2/3) e) (* (* (+ (* (* v v) -2/15) 2/3) e) e))
8.0ms
v
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (+ -1/6 (* 2/3 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (pow e 3) (neg v)) v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (+ -1/6 (* 2/3 e)) v) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* (* v v) -2/15) 2/3) e) (* (* (+ (* (* v v) -2/15) 2/3) e) e))
7.0ms
v
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (+ -1/6 (* 2/3 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (pow e 3) (neg v)) v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (+ -1/6 (* 2/3 e)) v) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* (* v v) -2/15) 2/3) e) (* (* (+ (* (* v v) -2/15) 2/3) e) e))
6.0ms
v
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (+ -1/6 (* 2/3 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (pow e 3) (neg v)) v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (/ (* e v) (+ (pow e 3) 1)) (* (- (neg (cos v)) (pow e -1)) (neg e)) (- (neg (cos v)) (pow e -1)) (* (+ -1/6 (* 2/3 e)) v) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* (* v v) -2/15) 2/3) e) (* (* (+ (* (* v v) -2/15) 2/3) e) e))

simplify172.0ms (2.9%)

Memory
-25.4MiB live, 191.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05672707
120942514
082922378
Stop Event
iter limit
node limit
Counts
154 → 153
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
v
(+ v (* -1 (* e v)))
-1/6
(- (* 2/3 e) 1/6)
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (+ (* e (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e v)
(* e (+ v (* -1 (* (pow e 3) v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
(* e (+ v (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) v)) (* -1 v))) v))))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* -1/6 v)
(+ (* -1/6 v) (* 2/3 (* e v)))
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)))
(* (pow e 2) (+ (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* -1 (* (pow e 4) v))
(* (pow e 4) (+ (* -1 v) (/ v (pow e 3))))
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+ v (+ (* -1 (/ v e)) (+ (* -1 (/ v (pow e 3))) (/ v (pow e 2)))))
(/ v (pow e 2))
(/ (+ v (* -1 (/ v (pow e 3)))) (pow e 2))
(/ (- (+ v (/ v (pow e 6))) (/ v (pow e 3))) (pow e 2))
(/ (- (+ v (* -1 (/ v (pow e 9)))) (+ (* -1 (/ v (pow e 6))) (/ v (pow e 3)))) (pow e 2))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* 2/3 (* e v))
(* e (+ (* -1/6 (/ v e)) (* 2/3 v)))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* (pow e 2) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1)))
(* (pow e 2) (+ (* -1 (/ (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)) e)) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 2))
(/ (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v (pow e 3)))) (pow e 3)))) (pow e 3)))) (pow e 2))
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(* v (- 1 e))
(* e (* v (- 1 e)))
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(* v (+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e))))
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(+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))
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(* e (* v (+ 1 (* -1 (pow e 3)))))
(/ (* e (* v (+ 1 (* e (- e 1))))) (+ 1 (pow e 3)))
(/ (* e v) (+ 1 (pow e 3)))
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
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(* -1 (+ 1 (/ 1 e)))
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(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(* v (- (* 2/3 e) 1/6))
(* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(+ (* -2/15 (* e (pow v 2))) (* 2/3 e))
(* 2/3 (pow e 2))
(+ (* -2/15 (* (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
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(* (pow v 5) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
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(* e (* (pow v 4) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(* (pow v 2) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(* -2/15 (* e (pow v 2)))
(* (pow v 2) (+ (* -2/15 e) (* 2/3 (/ e (pow v 2)))))
(* -2/15 (* (pow e 2) (pow v 2)))
(* (pow v 2) (+ (* -2/15 (pow e 2)) (* 2/3 (/ (pow e 2) (pow v 2)))))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))))
(* -1 (* e (* v (- (pow e 3) 1))))
Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
v
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-1/6
#s(literal -1/6 binary64)
(- (* 2/3 e) 1/6)
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v) e)
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
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(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
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(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
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(* e v)
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(* e (+ v (* -1 (* (pow e 3) v))))
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(* e (+ v (* -1 (* e v))))
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(* e (+ v (* e (+ (* -1 v) (* e v)))))
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(* e (+ v (* (pow e 3) (- (* (pow e 3) v) v))))
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(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) v) (pow.f64 e #s(literal 3 binary64))) v) (pow.f64 e #s(literal 3 binary64)) v) e)
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) e)
(* -1/6 v)
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(+ (* -1/6 v) (* 2/3 (* e v)))
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(* e (- (* 1/120 (pow v 2)) 1/6))
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(* e (- (+ (* 1/120 (pow v 2)) (* e (+ 2/3 (* -2/15 (pow v 2))))) 1/6))
(*.f64 (-.f64 (fma.f64 #s(literal 2/3 binary64) e (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v)) #s(literal 1/6 binary64)) e)
(* e (+ 2/3 (* -2/15 (pow v 2))))
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e)
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(/ (sin v) (cos v))
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(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
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(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* -1 (* e (* (cos v) (sin v))))
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(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) e)
(* -1 (* e v))
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(* e (+ (* -1 v) (/ v e)))
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(* 2/3 e)
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(* e (- 2/3 (* 1/6 (/ 1 e))))
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(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
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(*.f64 (*.f64 (*.f64 e e) v) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))
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(*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))
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(* -1 (* (pow e 4) v))
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(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(* -1 (+ 1 (/ 1 e)))
(+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(-.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 v v)) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(* v (- (* 2/3 e) 1/6))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v)
(* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)
(+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))
(*.f64 e (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
(+ (* -2/15 (* e (pow v 2))) (* 2/3 e))
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e)
(* 2/3 (pow e 2))
(*.f64 (*.f64 e e) #s(literal 2/3 binary64))
(+ (* -2/15 (* (pow e 2) (pow v 2))) (* 2/3 (pow e 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)))
(* e (* (pow v 5) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) e) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))
(* (pow v 5) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))) (pow.f64 v #s(literal 5 binary64)))
(* (pow v 5) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 e (pow.f64 v #s(literal 4 binary64))) (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))))) (pow.f64 v #s(literal 5 binary64)))
(* e (* (pow v 4) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(*.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))))
(* (pow v 4) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (+ (/ (* e (- 1 e)) (pow v 4)) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 e (pow.f64 v #s(literal 4 binary64))) (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))))) (pow.f64 v #s(literal 4 binary64)))
(* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) e) v) v)
(* (pow v 2) (+ (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))) (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))
(*.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v))
(* -2/15 (* e (pow v 2)))
(*.f64 (*.f64 (*.f64 v v) e) #s(literal -2/15 binary64))
(* (pow v 2) (+ (* -2/15 e) (* 2/3 (/ e (pow v 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 2/3 binary64) (*.f64 #s(literal -2/15 binary64) e)) v) v)
(* -2/15 (* (pow e 2) (pow v 2)))
(*.f64 (*.f64 (*.f64 (*.f64 v v) e) e) #s(literal -2/15 binary64))
(* (pow v 2) (+ (* -2/15 (pow e 2)) (* 2/3 (/ (pow e 2) (pow v 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2/15 binary64) e) e (*.f64 (*.f64 e (/.f64 e (*.f64 v v))) #s(literal 2/3 binary64))) v) v)
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 3 binary64))) (neg.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (neg.f64 (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))))))
(* -1 (* (pow v 5) (+ (* -1 (* e (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (+ (* -1 (/ (* e (- 1 e)) (pow v 4))) (* -1 (/ (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)) (pow v 2)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 e (pow.f64 v #s(literal 4 binary64))) (*.f64 e (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))))))
(* -1 (* e (* v (- (pow e 3) 1))))
(*.f64 (*.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) v) (neg.f64 e))

rewrite167.0ms (2.8%)

Memory
-9.4MiB live, 184.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084599
0123599
1466552
23530552
08309526
Stop Event
iter limit
node limit
iter limit
Counts
26 → 242
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e))
(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))
(-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v)
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
(*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
Outputs
(*.f64 (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))) (sin.f64 v))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 #s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(*.f64 v (-.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) v) (+.f64 (fma.f64 e e e) #s(literal 1 binary64)))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 v (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64)))) (+.f64 (fma.f64 e e e) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 #s(literal -2/3 binary64) e) #s(literal 2 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)))
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 e e)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 e e))) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))
(/.f64 (-.f64 #s(literal -1/216 binary64) (*.f64 #s(literal -8/27 binary64) (pow.f64 e #s(literal 3 binary64)))) (+.f64 #s(literal 1/36 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -2/3 binary64) e) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -2/3 binary64) e)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 e e)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 e e))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)))
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(fma.f64 #s(literal -1/6 binary64) v (*.f64 (*.f64 #s(literal 2/3 binary64) e) v))
(fma.f64 v (*.f64 #s(literal 2/3 binary64) e) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 v #s(literal -1/6 binary64) (*.f64 v (*.f64 #s(literal 2/3 binary64) e)))
(+.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) e) v) (*.f64 #s(literal -1/6 binary64) v))
(+.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 (*.f64 #s(literal 2/3 binary64) e) v))
(+.f64 (*.f64 v (*.f64 #s(literal 2/3 binary64) e)) (*.f64 v #s(literal -1/6 binary64)))
(+.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v (*.f64 #s(literal 2/3 binary64) e)))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e)
(*.f64 e (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/9 binary64)) e) (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8/3375 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8/27 binary64)) e) (fma.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 v v) #s(literal -4/45 binary64)))))
(/.f64 (*.f64 e (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/9 binary64))) (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 e (fma.f64 #s(literal -8/3375 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8/27 binary64))) (fma.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 v v) #s(literal -4/45 binary64)))))
(fma.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) e (*.f64 #s(literal 2/3 binary64) e))
(fma.f64 #s(literal 2/3 binary64) e (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) e))
(fma.f64 #s(literal 2/3 binary64) e (*.f64 e (*.f64 #s(literal -2/15 binary64) (*.f64 v v))))
(fma.f64 e (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) (*.f64 #s(literal 2/3 binary64) e))
(fma.f64 e #s(literal 2/3 binary64) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) e))
(fma.f64 e #s(literal 2/3 binary64) (*.f64 e (*.f64 #s(literal -2/15 binary64) (*.f64 v v))))
(+.f64 (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) e) (*.f64 #s(literal 2/3 binary64) e))
(+.f64 (*.f64 e (*.f64 #s(literal -2/15 binary64) (*.f64 v v))) (*.f64 #s(literal 2/3 binary64) e))
(+.f64 (*.f64 #s(literal 2/3 binary64) e) (*.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) e))
(+.f64 (*.f64 #s(literal 2/3 binary64) e) (*.f64 e (*.f64 #s(literal -2/15 binary64) (*.f64 v v))))
(*.f64 (*.f64 e e) (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) (*.f64 e e))
(*.f64 e (*.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4/9 binary64)) (*.f64 e e)) (-.f64 (*.f64 #s(literal -2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8/3375 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 8/27 binary64)) (*.f64 e e)) (fma.f64 #s(literal 4/225 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 v v) #s(literal -4/45 binary64)))))

eval53.0ms (0.9%)

Memory
32.3MiB live, 108.1MiB allocated
Compiler

Compiled 22 186 to 2 130 computations (90.4% saved)

prune34.0ms (0.6%)

Memory
-16.8MiB live, 65.0MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New37611387
Fresh12618
Picked235
Done066
Total39026416
Accuracy
100.0%
Counts
416 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.7%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
99.3%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 e))))
97.5%
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (pow e -1)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.6%
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
98.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
50.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) e)) e))
50.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
49.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
27.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
50.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
64.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
50.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
25.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
Compiler

Compiled 2 946 to 971 computations (67% saved)

regimes45.0ms (0.8%)

Memory
-6.0MiB live, 69.4MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (pow e -1)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) e) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) (-.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v))) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

15.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
13.0ms
v
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes44.0ms (0.7%)

Memory
3.9MiB live, 48.4MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (pow e -1)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

22.0ms
v
10.0ms
e
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes58.0ms (1%)

Memory
21.2MiB live, 55.0MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (pow e -1)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
Calls

3 calls:

37.0ms
v
10.0ms
e
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.4%1e
98.4%1v
98.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes36.0ms (0.6%)

Memory
-15.1MiB live, 58.0MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (* e v) (+ (pow e 3) 1)) (*.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) (neg.f64 v) v) e)) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 e (-.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (pow e -1)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (*.f64 #s(approx (- (neg (cos v)) (/ 1 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e) (pow.f64 v #s(literal 4 binary64)))) v)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

13.0ms
e
11.0ms
v
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.3%1v
98.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.3%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes29.0ms (0.5%)

Memory
-1.2MiB live, 44.4MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
Calls

3 calls:

11.0ms
v
8.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.8%1e
97.8%1v
97.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.4%)

Memory
6.4MiB live, 44.2MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

9.0ms
v
8.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.6%1e
97.6%1v
97.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes29.0ms (0.5%)

Memory
-5.6MiB live, 31.8MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 #s(approx (+ -1/6 (* 2/3 e)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(approx (* (* e v) (+ (* (* (+ -1/6 (* 2/3 e)) v) v) (- 1 e))) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 #s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (*.f64 (*.f64 e e) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) v) v) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (*.f64 (*.f64 e v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 e v)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (*.f64 (*.f64 (neg.f64 e) e) (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
7.0ms
e
7.0ms
v
Results
AccuracySegmentsBranch
50.9%1e
50.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.9%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* e v) (+ (pow e 3) 1)) (+ (* e (- e 1)) 1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
3.0ms
v
Results
AccuracySegmentsBranch
50.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.5%1v
50.5%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -15.6b remaining (-49.1%)

Threshold costs -15.6b (-49.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (neg.f64 e) v))) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
50.2%1v
50.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.2%1e
Compiler

Compiled 13 to 13 computations (0% saved)

simplify58.0ms (1%)

Memory
-26.6MiB live, 51.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049175
178173
2112173
3194173
4421173
5923173
61865173
73622173
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

soundness589.0ms (9.9%)

Memory
28.0MiB live, 574.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04111804
114901710
258461696
085551577
0927
01527
14927
225627
3219527
0977125
0182800
1606788
22097747
37186720
08180668
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 266 to 119 computations (55.3% saved)

preprocess50.0ms (0.8%)

Memory
18.3MiB live, 99.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 416 to 154 computations (63% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...