expfmod (used to be hard to sample)

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze254.0ms (2.3%)

Memory
14.5MiB live, 98.7MiB allocated; 45ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample5.3s (48.2%)

Memory
-18.6MiB live, 5 018.4MiB allocated; 1.6s collecting garbage
Samples
1.8s1 526×5exit
1.4s2 736×2valid
777.0ms3 549×1valid
462.0ms3 359×0invalid
202.0ms1 971×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-cos: 1.2s (29.7% of total)
ival-fmod: 1.2s (28.9% of total)
ival-exp: 770.0ms (18.9% of total)
adjust: 399.0ms (9.8% of total)
ival-sqrt: 273.0ms (6.7% of total)
ival-mult: 168.0ms (4.1% of total)
ival-neg: 55.0ms (1.4% of total)
ival-true: 10.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain825.0ms (7.6%)

Memory
2.1MiB live, 1 124.0MiB allocated; 148ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1950-195(2.9777850102386005e-281)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
10-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(sqrt.f64 (cos.f64 x))
00-0-(cos.f64 x)
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))u*o10
↳(exp.f64 x)underflow1
↳(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))underflow1
↳(exp.f64 (neg.f64 x))overflow1
Confusion
Predicted +Predicted -
+1252
-03
Precision
1.0
Recall
0.003952569169960474
Confusion?
Predicted +Predicted MaybePredicted -
+10252
-003
Precision?
1.0
Recall?
0.003952569169960474
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
621.0ms114×5exit
75.0ms228×1valid
66.0ms156×2valid
2.0ms14×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 726.0ms
ival-cos: 556.0ms (76.5% of total)
ival-fmod: 59.0ms (8.1% of total)
ival-exp: 45.0ms (6.2% of total)
adjust: 30.0ms (4.1% of total)
ival-sqrt: 22.0ms (3% of total)
ival-mult: 8.0ms (1.1% of total)
ival-neg: 4.0ms (0.6% of total)
ival-true: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess157.0ms (1.4%)

Memory
23.1MiB live, 210.1MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
13921
28621
328721
4174221
0810
01510
13110
2609
31619
47249
565739
083399
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify138.0ms (1.3%)

Memory
-9.1MiB live, 119.3MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff1
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
01529
13129
26028
316128
472428
5657328
0833928
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize418.0ms (3.8%)

Memory
-16.4MiB live, 564.4MiB allocated; 57ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.0
(cos.f64 x)
accuracy0.2500027510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
317.0ms57×5exit
59.0ms78×2valid
27.0ms114×1valid
1.0ms7×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 369.0ms
ival-cos: 263.0ms (71.3% of total)
ival-fmod: 47.0ms (12.7% of total)
ival-exp: 23.0ms (6.2% of total)
ival-mult: 12.0ms (3.3% of total)
adjust: 11.0ms (3% of total)
ival-sqrt: 9.0ms (2.4% of total)
ival-neg: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
5 → 19
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x))
1.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x))
1.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x))

simplify132.0ms (1.2%)

Memory
35.2MiB live, 173.7MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076218
1225197
2665191
32324181
45205181
08264165
Stop Event
1×iter limit
1×node limit
Counts
19 → 19
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

rewrite181.0ms (1.7%)

Memory
-21.8MiB live, 163.6MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0823
01523
13323
214022
3104322
0846922
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 163
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))))
(exp.f64 x)
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(pow.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(sqrt.f64 (cos.f64 x))
(fabs.f64 (sqrt.f64 (cos.f64 x)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))) (sinh.f64 (log.f64 (sqrt.f64 (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x))) (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 x)) (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x))))))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x))))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (*.f64 x x))))))
(+.f64 (cosh.f64 (log.f64 (cos.f64 x))) (sinh.f64 (log.f64 (cos.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))

eval26.0ms (0.2%)

Memory
-2.5MiB live, 40.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 654 to 803 computations (82.7% saved)

prune9.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1738181
Fresh000
Picked011
Done000
Total1739182
Accuracy
27.6%
Counts
182 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶4.6%
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
✓4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
4.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
▶4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
4.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶26.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶4.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 346 to 242 computations (30.1% saved)

simplify145.0ms (1.3%)

Memory
7.3MiB live, 255.8MiB allocated; 34ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff1
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052426
091426
1162426
2458422
31631422
08175422
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal 1/96 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(pow.f64 (sinh.f64 x) #s(literal 3 binary64))
(sinh.f64 x)
#s(literal 3 binary64)
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(cosh.f64 (+.f64 x x))
(+.f64 x x)
(*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(sinh.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/96 binary64))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal 1/96 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))
(+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))
(pow.f64 (sinh.f64 x) #s(literal 3 binary64))
(sinh.f64 x)
#s(literal 3 binary64)
(pow.f64 (cosh.f64 x) #s(literal 3 binary64))
(cosh.f64 x)
(-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)))
(fma.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))
(cosh.f64 (+.f64 x x))
(cosh.f64 (*.f64 #s(literal -2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(sinh.f64 (neg.f64 x))
(neg.f64 x)

localize585.0ms (5.4%)

Memory
-22.1MiB live, 744.3MiB allocated; 118ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sinh.f64 (neg.f64 x))
accuracy0.0078125
(sinh.f64 x)
accuracy0.20703125000000003
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.15234375
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
accuracy0.23828125
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
accuracy0.39977868607819156
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.0078125
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.15234375
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
accuracy0.41083976273067746
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.0
(exp.f64 x)
accuracy0.0
(cos.f64 x)
accuracy0.7968909020104038
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0
(cos.f64 x)
accuracy0.0078125
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy0.7955994567248239
#s(approx (exp x) #s(literal 1 binary64))
accuracy46.34902952205336
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
277.0ms57×5exit
139.0ms78×2valid
114.0ms114×1valid
2.0ms6×0valid
0.0ms1×0exit
Compiler

Compiled 321 to 40 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 466.0ms
ival-pow: 113.0ms (24.2% of total)
adjust: 102.0ms (21.9% of total)
ival-cos: 68.0ms (14.6% of total)
const: 41.0ms (8.8% of total)
ival-cosh: 35.0ms (7.5% of total)
ival-mult: 31.0ms (6.6% of total)
ival-exp: 19.0ms (4.1% of total)
ival-fmod: 15.0ms (3.2% of total)
ival-sinh: 14.0ms (3% of total)
ival-sub: 9.0ms (1.9% of total)
ival-add: 8.0ms (1.7% of total)
ival-sqrt: 6.0ms (1.3% of total)
ival-div: 5.0ms (1.1% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
-14.8MiB live, 31.2MiB allocated; 4ms collecting garbage
Counts
21 → 44
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cos.f64 x)
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(sinh.f64 x)
(sinh.f64 (neg.f64 x))
Outputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ (* x (- (* x (- (* 3/2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (+ (* -2 (fmod (exp x) (sqrt (cos x)))) (+ (* 2/3 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* 3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* 7/8 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/96 (pow x 2))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 2))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x))))))))
(* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x))))
(cos x)
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh (neg x)) (cosh x)))) (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (* -1/96 (* x x)) (* (- (* -19/5760 (* x x)) 1/96) x) (* -19/5760 (* x x)) (sinh x) (sinh (neg x)))
8.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh (neg x)) (cosh x)))) (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (* -1/96 (* x x)) (* (- (* -19/5760 (* x x)) 1/96) x) (* -19/5760 (* x x)) (sinh x) (sinh (neg x)))
3.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (- (cosh (+ x x)) (* (sinh (neg x)) (cosh x)))) (* (fmod (exp x) (sqrt (cos x))) (+ (pow (sinh x) 3) (pow (cosh x) 3))) (cos x) (* -1/96 (* x x)) (* (- (* -19/5760 (* x x)) 1/96) x) (* -19/5760 (* x x)) (sinh x) (sinh (neg x)))

simplify122.0ms (1.1%)

Memory
20.8MiB live, 113.3MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195695
1599612
21960575
08479547
Stop Event
1×iter limit
1×node limit
Counts
44 → 43
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ (* x (- (* x (- (* 3/2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (+ (* -2 (fmod (exp x) (sqrt (cos x)))) (+ (* 2/3 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* 3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* 7/8 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -1/96 (pow x 2))
(* -1/96 x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(* -19/5760 (pow x 2))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x))))))))
(* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x))))
(cos x)
(* -19/5760 (pow x 3))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* x (- (* x (- (* 3/2 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (- (* x (- (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (- (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (+ (* 2 (fmod (exp x) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))))) (+ (* -2 (fmod (exp x) (sqrt (cos x)))) (+ (* 2/3 (fmod (exp x) (sqrt (cos x)))) (* 3/2 (fmod (exp x) (sqrt (cos x))))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 11/6 binary64)) x (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* 3/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (+.f64 #s(literal 3/2 binary64) x) (*.f64 x x) #s(literal 1 binary64)))
(+ (* (pow x 2) (+ (* 3/2 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* 7/8 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 #s(literal 7/8 binary64) x) x (+.f64 #s(literal 3/2 binary64) x))) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* -1/96 (pow x 2))
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
(* -1/96 x)
(*.f64 #s(literal -1/96 binary64) x)
(* x (- (* -19/5760 (pow x 2)) 1/96))
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(* -19/5760 (pow x 2))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (* 2 x)) (/ 1 (exp (* 2 x))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (neg x)) (/ 1 (exp (neg x))))))))
(*.f64 (*.f64 #s(literal 1/8 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/8 binary64))
(cos x)
(cos.f64 x)
(* -19/5760 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 3) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal -19/5760 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (* (+ (* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) (* 1/8 (pow (- (exp x) (/ 1 (exp x))) 3))) (fmod (exp x) (sqrt (cos x)))) (- (* 1/2 (+ (exp (neg (* -2 x))) (/ 1 (exp (neg (* -2 x)))))) (* 1/4 (* (+ (exp x) (/ 1 (exp x))) (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))))
(*.f64 (*.f64 #s(literal 1/8 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite100.0ms (0.9%)

Memory
-10.1MiB live, 40.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052256
091256
1280255
01958254
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 132
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(cos.f64 x)
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(sinh.f64 x)
(sinh.f64 (neg.f64 x))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(exp.f64 x)
(+.f64 (cosh.f64 x) (sinh.f64 x))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (cosh.f64 x) (sinh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x)))) (exp.f64 x))
(*.f64 (fma.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) (pow.f64 (sinh.f64 x) #s(literal 9 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) (pow.f64 (sinh.f64 x) #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 6 binary64)) (pow.f64 (cosh.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (-.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64))) (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (sinh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (cosh.f64 x) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (sinh.f64 x) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -1/96 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -1/96 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/96 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/96 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/96 binary64))
(*.f64 #s(literal -1/96 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/96 binary64)))
(*.f64 x (*.f64 #s(literal -1/96 binary64) x))
(*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x)
(*.f64 x (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9216 binary64)) x) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/884736 binary64)) x) (+.f64 (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64)) (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9216 binary64))) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/884736 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal -19/552960 binary64) #s(literal 1/9216 binary64)) (pow.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -19/5760 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal -19/5760 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -19/5760 binary64) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -19/5760 binary64)))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -19/5760 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -19/5760 binary64)))
(*.f64 x (*.f64 #s(literal -19/5760 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal -2 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 x))
(neg.f64 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))

eval27.0ms (0.2%)

Memory
30.4MiB live, 30.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 872 to 945 computations (88% saved)

prune27.0ms (0.2%)

Memory
-30.9MiB live, 14.5MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2423245
Fresh033
Picked325
Done011
Total2459254
Accuracy
27.6%
Counts
254 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.9%
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.6%
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 #s(approx (sinh (neg x)) (neg.f64 x)) (cosh.f64 x))))
✓4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶4.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶4.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶26.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶4.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 328 to 224 computations (31.7% saved)

simplify157.0ms (1.4%)

Memory
23.2MiB live, 108.8MiB allocated; 12ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff10
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff1
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038345
065345
1109336
2287331
3738331
44189331
08682331
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(sinh.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(cosh.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(sinh.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(cosh.f64 x)

localize271.0ms (2.5%)

Memory
-14.0MiB live, 172.0MiB allocated; 42ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sinh.f64 (neg.f64 x))
accuracy0.24610199912687444
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy0.2539090010508252
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy46.106835822975675
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.15234375
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
accuracy0.2500027510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy0.38848970848099873
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy46.106835822975675
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy0.0
(exp.f64 x)
accuracy0.2500027510508252
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.4211719375360871
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy46.106835822975675
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.0
(exp.f64 x)
accuracy0.4211719375360871
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.7968943572085916
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy46.106835822975675
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.2500027510508252
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.4211719375360871
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.7955939505910166
#s(approx (exp x) #s(literal 1 binary64))
accuracy46.106835822975675
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
Samples
115.0ms191×1valid
50.0ms2×5exit
29.0ms56×0exit
2.0ms7×0valid
Compiler

Compiled 224 to 26 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-cos: 56.0ms (34% of total)
ival-sinh: 22.0ms (13.4% of total)
ival-exp: 21.0ms (12.8% of total)
adjust: 15.0ms (9.1% of total)
ival-fmod: 12.0ms (7.3% of total)
ival-mult: 12.0ms (7.3% of total)
ival-cosh: 12.0ms (7.3% of total)
ival-sqrt: 4.0ms (2.4% of total)
const: 4.0ms (2.4% of total)
ival-add: 4.0ms (2.4% of total)
ival-neg: 1.0ms (0.6% of total)
ival-sub: 1.0ms (0.6% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
18 → 32
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(sinh.f64 (neg.f64 x))
Outputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/24 (pow x 2))
(+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 1/24 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/24 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))))
(cos x)
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x)))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x))))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (sinh (neg x))) (* (cosh x) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* 1/24 (* x x)) (* (cosh x) (fmod (exp x) (sqrt (cos x)))) (sinh (neg x)))
2.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (sinh (neg x))) (* (cosh x) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* 1/24 (* x x)) (* (cosh x) (fmod (exp x) (sqrt (cos x)))) (sinh (neg x)))
1.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (fmod (exp x) (sqrt (cos x))) (sinh (neg x))) (* (cosh x) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* 1/24 (* x x)) (* (cosh x) (fmod (exp x) (sqrt (cos x)))) (sinh (neg x)))

simplify167.0ms (1.5%)

Memory
7.7MiB live, 114.6MiB allocated; 33ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125463
1350400
21104385
34715369
08326347
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/24 (pow x 2))
(+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 1/24 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* (pow x 2) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/24 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
(sqrt (cos x))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))))
(cos x)
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x)))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x))))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* (pow x 2) (+ (* 1/24 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
(+ (* (pow x 2) (+ (* 1/2 (fmod (exp x) (sqrt (cos x)))) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* 1/24 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (neg x)) (/ 1 (exp (neg x)))) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(cos x)
(cos.f64 x)
(* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(+ (* 1/2 (* (+ (exp x) (/ 1 (exp x))) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite165.0ms (1.5%)

Memory
5.2MiB live, 196.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038222
065222
1163213
2961208
08362208
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 239
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(sinh.f64 (neg.f64 x))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x))) (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))) (-.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (-.f64 (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))) (*.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)))))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fma.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x))))
(fma.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sinh.f64 (neg.f64 x)) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)))
(-.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (cosh.f64 x)) (*.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (sinh.f64 (neg.f64 x))))
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(+.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) (/.f64 (neg.f64 (pow.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (cosh.f64 x)))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (cosh.f64 x))))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sinh.f64 (neg.f64 x))))
(+.f64 (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))))
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) (neg.f64 x)))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 x))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/24 binary64) x))
(neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cosh.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(sinh.f64 (neg.f64 x))
(neg.f64 (sinh.f64 x))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)))

eval61.0ms (0.6%)

Memory
-19.6MiB live, 71.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 14 895 to 1 183 computations (92.1% saved)

prune14.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New4106416
Fresh101
Picked145
Done033
Total41213425
Accuracy
27.6%
Counts
425 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(fma.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶4.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
▶4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
✓4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶12.4%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶16.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶27.3%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓26.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 393 to 275 computations (30% saved)

simplify130.0ms (1.2%)

Memory
-7.8MiB live, 138.9MiB allocated; 12ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
cost-diff4
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
cost-diff1
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041382
079378
1125378
2287375
3767375
43823371
08445371
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(sinh.f64 (neg.f64 x))
(neg.f64 x)
(neg.f64 (cosh.f64 x))
(cosh.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(exp.f64 (neg.f64 x))
(sinh.f64 (neg.f64 x))
(neg.f64 x)
(neg.f64 (cosh.f64 x))
(cosh.f64 x)

localize338.0ms (3.1%)

Memory
12.2MiB live, 322.3MiB allocated; 119ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sinh.f64 (neg.f64 x))
accuracy0.24999862397081396
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
accuracy0.2500027510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0
(exp.f64 x)
accuracy0.2500027510508252
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
accuracy0.6673222684132347
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy46.34902952205336
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.2500027510508252
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.6594169779039905
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy0.6673222684132347
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy46.34902952205336
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.2500027510508252
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.6673222684132347
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.670425023728743
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy46.34902952205336
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.2500027510508252
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.6673222684132347
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.6809294156752294
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy46.34902952205336
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
Samples
133.0ms113×1valid
92.0ms79×2valid
45.0ms1×5exit
30.0ms56×0exit
2.0ms7×0valid
Compiler

Compiled 244 to 36 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-exp: 62.0ms (27.9% of total)
adjust: 36.0ms (16.2% of total)
ival-add: 36.0ms (16.2% of total)
ival-mult: 32.0ms (14.4% of total)
ival-cos: 14.0ms (6.3% of total)
ival-fmod: 13.0ms (5.9% of total)
ival-cosh: 7.0ms (3.2% of total)
ival-sinh: 5.0ms (2.3% of total)
ival-sqrt: 4.0ms (1.8% of total)
const: 4.0ms (1.8% of total)
ival-neg: 3.0ms (1.4% of total)
ival-div: 3.0ms (1.4% of total)
ival-sub: 2.0ms (0.9% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
21 → 42
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(sinh.f64 (neg.f64 x))
Outputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (cos x))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x))))))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (- (sinh (neg x)) (neg (cosh x))) (* (fmod (exp x) (sqrt (cos x))) (- (sinh (neg x)) (neg (cosh x)))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (sinh (neg x)))
3.0ms
x
@-inf
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (- (sinh (neg x)) (neg (cosh x))) (* (fmod (exp x) (sqrt (cos x))) (- (sinh (neg x)) (neg (cosh x)))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (sinh (neg x)))
2.0ms
x
@0
((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (- (sinh (neg x)) (neg (cosh x))) (* (fmod (exp x) (sqrt (cos x))) (- (sinh (neg x)) (neg (cosh x)))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (sinh (neg x)))

simplify126.0ms (1.2%)

Memory
24.6MiB live, 111.8MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156542
1468495
21552468
36525455
08128431
Stop Event
1×iter limit
1×node limit
Counts
42 → 41
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* x (- (* -1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(exp x)
x
(* x (+ 1 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(sqrt (cos x))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x))))))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (fmod (exp x) (sqrt (cos x))))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/6 (pow x 2)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) #s(literal 1 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp x)
(exp.f64 x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x))))))
(*.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) #s(literal 1/2 binary64))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (*.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (neg x)) (/ 1 (exp (neg x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x))))))
(*.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) #s(literal 1/2 binary64))
(* (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (*.f64 (-.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 x)) (/ 1 (exp (* -1 x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))

rewrite170.0ms (1.6%)

Memory
-2.8MiB live, 138.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041266
079266
1233266
21415266
08138266
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 230
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(sinh.f64 (neg.f64 x))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (*.f64 (cosh.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (sinh.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
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(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(*.f64 (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(sinh.f64 (neg.f64 x))
(neg.f64 (sinh.f64 x))
(-.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)))
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eval59.0ms (0.5%)

Memory
-19.1MiB live, 77.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 13 716 to 1 379 computations (89.9% saved)

prune18.0ms (0.2%)

Memory
-7.6MiB live, 38.7MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New3128320
Fresh101
Picked325
Done167
Total31716333
Accuracy
63.7%
Counts
333 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.9%
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (exp.f64 x)))
4.9%
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (exp.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))
✓4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
✓4.9%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓27.3%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
46.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
11.3%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
20.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
12.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
49.5%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
15.5%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓26.0%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓4.4%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Compiler

Compiled 1 127 to 496 computations (56% saved)

regimes14.0ms (0.1%)

Memory
32.0MiB live, 32.0MiB allocated; 0ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal 1/96 binary64)) x) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (cosh.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (exp.f64 x)))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 #s(approx (sinh (neg x)) (neg.f64 x)) (cosh.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 x x)) (*.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (exp.f64 x)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

7.0ms
x
5.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
61.6%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
63.0%3x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Calls

1 calls:

2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
61.6%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Memory
-40.3MiB live, 6.9MiB allocated; 1ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

2.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
27.3%1x
27.3%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
26.0%1x
26.0%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
4.4%1x
4.4%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.9820169225521465e-9
1.743094693732143e-8
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.9820169225521465e-9
1.743094693732143e-8
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify41.0ms (0.4%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057207
188207
2161206
3446206
41460206
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
Outputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) 1) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3022314549036573/604462909807314587353088 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))

derivations669.0ms (6.1%)

Memory
-18.4MiB live, 325.0MiB allocated; 86ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195695
1599612
21960575
08479547
0156542
1468495
21552468
36525455
08128431
0125463
1350400
21104385
34715369
08326347
076218
1225197
2665191
32324181
45205181
08264165
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 207 to 60 computations (71% saved)

preprocess40.0ms (0.4%)

Memory
-21.7MiB live, 66.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 434 to 136 computations (68.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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