expfmod (used to be hard to sample)

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze183.0ms (1.8%)

Memory
-2.0MiB live, 402.4MiB allocated
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)

sample4.7s (45.5%)

Memory
-58.4MiB live, 4 290.9MiB allocated
Samples
1.4s1 577×5exit
1.1s2 575×2valid
809.0ms3 511×1valid
644.0ms3 236×0invalid
269.0ms2 170×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-cos: 1.5s (39.9% of total)
ival-fmod: 878.0ms (23.4% of total)
ival-exp: 640.0ms (17.1% of total)
adjust: 280.0ms (7.5% of total)
ival-sqrt: 231.0ms (6.2% of total)
ival-mult: 148.0ms (3.9% of total)
ival-neg: 58.0ms (1.5% of total)
ival-true: 11.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain199.0ms (1.9%)

Memory
-8.2MiB live, 221.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1870-187(-1.400168117488765e-205)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
00-0-(sqrt.f64 (cos.f64 x))
00-0-(cos.f64 x)
00-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(exp.f64 x)
02(-447.6292985286288)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 x))sensitivity20
Confusion
Predicted +Predicted -
+0249
-25
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+00249
-205
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms136×2valid
53.0ms228×1valid
18.0ms124×1exit
3.0ms24×0valid
Compiler

Compiled 101 to 36 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-exp: 35.0ms (29.3% of total)
ival-fmod: 25.0ms (20.9% of total)
ival-cos: 23.0ms (19.3% of total)
adjust: 20.0ms (16.7% of total)
ival-sqrt: 8.0ms (6.7% of total)
ival-mult: 5.0ms (4.2% of total)
ival-neg: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess16.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
12921
26821
312421
417021
519221
620921
722821
823521
0810
01510
12210
2329
3389
4439
5499
6569
7629
8639
0639
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.1%)

Memory
-32.9MiB live, 4.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
01529
12229
23228
33828
44328
54928
65628
76228
86328
06328
Stop Event
1×iter limit
1×saturated
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)

localize81.0ms (0.8%)

Memory
-3.3MiB live, 81.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.01953125
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
30.0ms68×2valid
24.0ms114×1valid
8.0ms62×1exit
1.0ms12×0valid
Compiler

Compiled 60 to 18 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-exp: 16.0ms (30.6% of total)
ival-fmod: 13.0ms (24.9% of total)
ival-cos: 11.0ms (21.1% of total)
adjust: 5.0ms (9.6% of total)
ival-sqrt: 4.0ms (7.7% of total)
ival-mult: 3.0ms (5.7% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
5 → 19
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(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 (* 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))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (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 x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms
x
@inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
1.0ms
x
@-inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

simplify166.0ms (1.6%)

Memory
12.7MiB live, 136.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076218
1181197
2419191
31049181
41886181
53809181
65183181
76526181
08002159
Stop Event
1×iter limit
1×node limit
Counts
19 → 19
Calls
Call 1
Inputs
(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 (* 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))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (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
#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))
(+ 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 (fma.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 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -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 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 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 (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

rewrite74.0ms (0.7%)

Memory
1.3MiB live, 37.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
01523
12422
26322
325722
0199022
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 64
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 #s(literal 1 binary64) (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))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (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 (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))
(sqrt.f64 (cos.f64 x))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x))) #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 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.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 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.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)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

eval8.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Compiler

Compiled 1 207 to 279 computations (76.9% saved)

prune62.0ms (0.6%)

Memory
-26.6MiB live, 11.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New76682
Fresh000
Picked101
Done000
Total77683
Accuracy
30.9%
Counts
83 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶6.7%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
▶6.6%
(*.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)))
▶27.5%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify102.0ms (1%)

Memory
4.8MiB live, 44.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
cost-diff0
(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
(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
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff0
(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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030202
050200
165200
290197
3122197
4181197
5212197
6317197
7390197
8454197
9552197
10737197
111071197
121291197
131527197
141666197
151687197
161691197
171697197
181699197
01699197
Stop Event
1×iter limit
1×saturated
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))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.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)))
(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 (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)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(cos.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))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) 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 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.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))
(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 (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)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.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))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(cos.f64 x)

localize310.0ms (3%)

Memory
10.5MiB live, 93.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.0625
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0
(cos.f64 x)
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.01171875
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0
(exp.f64 x)
accuracy0.01953125
(*.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)))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.0234375
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy0.9378178618142388
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.01953125
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy1.5383922818600069
#s(approx (exp x) #s(literal 1 binary64))
accuracy44.237299485840474
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
169.0ms64×2valid
65.0ms16×0valid
40.0ms114×1valid
14.0ms62×1exit
Compiler

Compiled 369 to 50 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-div: 134.0ms (52.5% of total)
ival-add: 58.0ms (22.7% of total)
ival-exp: 16.0ms (6.3% of total)
ival-fmod: 12.0ms (4.7% of total)
ival-cos: 11.0ms (4.3% of total)
adjust: 9.0ms (3.5% of total)
ival-mult: 7.0ms (2.7% of total)
ival-sqrt: 4.0ms (1.6% of total)
ival-sub: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
17 → 36
Calls
Call 1
Inputs
(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))
(cos.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) x)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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)
#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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (exp.f64 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)))
Outputs
(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 (* 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))
(+ (* 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
2.0ms
x
@0
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))
2.0ms
x
@-inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))))

simplify222.0ms (2.1%)

Memory
5.3MiB live, 155.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127465
1346410
2981373
33226365
47707365
09024337
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(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 (* 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))
(+ (* 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(exp x)
(sqrt (cos x))
(cos x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 (fma.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 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 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 (fma.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 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -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 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (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))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) 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))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ 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 (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (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))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite299.0ms (2.9%)

Memory
-8.3MiB live, 147.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030146
050143
1106141
2476141
33360141
010564141
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 521
Calls
Call 1
Inputs
(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))
(cos.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) x)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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)
#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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (exp.f64 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)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.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 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(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))
(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 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 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))
(pow.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) #s(literal 2 binary64))) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) x)) (exp.f64 (log.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (exp.f64 (-.f64 x (log.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (-.f64 (log.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (exp.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 x))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.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 (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)))))
(*.f64 #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)))
(pow.f64 (/.f64 (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))))) #s(literal -1 binary64))
(/.f64 (*.f64 #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))))) (neg.f64 (exp.f64 x)))
(/.f64 (*.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)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x)))
(/.f64 (neg.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))))) (neg.f64 (exp.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 #s(literal 1 binary64) (/.f64 (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))))))

eval353.0ms (3.4%)

Memory
1.5MiB live, 146.4MiB allocated
Compiler

Compiled 18 489 to 2 460 computations (86.7% saved)

prune78.0ms (0.8%)

Memory
-16.5MiB live, 57.8MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New75817775
Fresh011
Picked415
Done000
Total76219781
Accuracy
31.6%
Counts
781 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
4.7%
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal 2 binary64))
▶5.5%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
6.7%
(/.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 x))
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
▶6.7%
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
5.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
✓6.6%
(*.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)))
4.7%
(*.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))
3.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
▶27.5%
(*.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)))
6.7%
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
▶5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))))))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Compiler

Compiled 771 to 527 computations (31.6% saved)

simplify245.0ms (2.3%)

Memory
-5.2MiB live, 79.4MiB allocated
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-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
cost-diff0
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
cost-diff128
(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
cost-diff6080
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) 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
(exp.f64 x)
cost-diff0
(/.f64 (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)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
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
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) 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 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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
(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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041397
071396
1100396
2165386
3345385
4891385
51877385
63209385
73725385
83826385
94047385
104300385
114519385
124926385
135141385
145184385
155186385
165188385
175192385
185192385
195196385
05196382
Stop Event
1×iter limit
1×saturated
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))) (*.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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)
#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)
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
#s(literal 1 binary64)
(/.f64 (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)))))
(exp.f64 x)
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 (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(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
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))) (*.f64 (-.f64 #s(literal 1 binary64) 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))) (*.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)))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) 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 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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)
#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)
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
(/.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))
#s(literal 1 binary64)
(/.f64 (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)))))
(/.f64 (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
(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))))
#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(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(*.f64 x x)
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

localize227.0ms (2.2%)

Memory
14.6MiB live, 246.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.01171875
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
accuracy1.0106135755054635
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.01171875
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy0.015625
(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy0.9981947351559594
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0
(exp.f64 x)
accuracy0.0625
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.0234375
(*.f64 (-.f64 #s(literal 1 binary64) 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)))))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.9378178618142388
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))))))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.01953125
(*.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)))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy1.5383922818600069
#s(approx (exp x) #s(literal 1 binary64))
accuracy44.237299485840474
(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
89.0ms121×1valid
69.0ms64×2valid
22.0ms62×1exit
3.0ms9×0valid
Compiler

Compiled 685 to 73 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-pow: 33.0ms (22.5% of total)
ival-exp: 21.0ms (14.3% of total)
adjust: 18.0ms (12.3% of total)
ival-mult: 17.0ms (11.6% of total)
ival-add: 13.0ms (8.9% of total)
ival-fmod: 13.0ms (8.9% of total)
ival-cos: 11.0ms (7.5% of total)
ival-div: 9.0ms (6.1% of total)
ival-sqrt: 6.0ms (4.1% of total)
ival-neg: 3.0ms (2% of total)
ival-sub: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
21 → 73
Calls
Call 1
Inputs
(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)))
(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))) (*.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (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))))))
(/.f64 (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)))))
(exp.f64 x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.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)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
Outputs
(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 (* 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))
(+ (* 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ 1 (* x (- (* -2 x) 1)))
(+ 1 (* x (- (* x (- (* -2 (pow x 3)) 2)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(+ (* x (+ (* -2 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -2 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* -2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 3)))))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* x (fmod (exp x) (sqrt (cos x))))
(* x (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x))))))
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 4))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+ 1 (+ x (* 1/2 (pow x 2))))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (neg (* x (/ x (- 1 x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow (exp (* x x)) (pow x -1))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ x (- 1 x)) (pow (exp (* x x)) (pow x -1)))
3.0ms
x
@-inf
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (neg (* x (/ x (- 1 x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow (exp (* x x)) (pow x -1))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ x (- 1 x)) (pow (exp (* x x)) (pow x -1)))
2.0ms
x
@0
((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (- 1 x) (fmod (exp x) (sqrt (cos x)))) (- 1 x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (neg (* x (/ x (- 1 x)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow (exp (* x x)) (pow x -1))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ x (- 1 x)) (pow (exp (* x x)) (pow x -1)))

simplify223.0ms (2.1%)

Memory
-22.3MiB live, 166.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991235
19021117
22772981
08262925
Stop Event
1×iter limit
1×node limit
Counts
73 → 72
Calls
Call 1
Inputs
(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 (* 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))
(+ (* 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ 1 (* x (- (* -2 x) 1)))
(+ 1 (* x (- (* x (- (* -2 (pow x 3)) 2)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(+ (* x (+ (* -2 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -2 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* -2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(exp x)
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 3)))))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* x (fmod (exp x) (sqrt (cos x))))
(* x (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x))))))
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 4))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+ 1 (+ x (* 1/2 (pow x 2))))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
Outputs
(fmod (exp x) (sqrt (cos x)))
(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))
(+ 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 (fma.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 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) 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))))
(*.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 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x)) x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x))
(+ 1 (* x (- (* -2 x) 1)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -2 (pow x 3)) 2)) 1)))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x) x)
(+ (* x (+ (* -2 (* x (fmod (exp x) (sqrt (cos x))))) (* -1 (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 -2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -2 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* -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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) #s(literal -2 binary64))) (*.f64 x x)))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f64 (fma.f64 (fma.f64 x x x) x x) x x)
(exp x)
(exp.f64 x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 2 (pow x 3)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x (-.f64 x #s(literal -1 binary64)))
(* x (+ 1 (+ (/ 1 x) (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 3))))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) x (-.f64 x #s(literal -1 binary64)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(* x (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(* x (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(* x (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 4))) (+ (/ (fmod (exp x) (sqrt (cos x))) x) (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x)
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* 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 (pow.f64 x #s(literal 4 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
(fma.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))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 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 x #s(literal 6 binary64)) #s(literal -1/3 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)))
(+ 1 (+ x (* 1/2 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(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))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow x 2)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(neg.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x)) x))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(neg.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (neg.f64 x)) x))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(* -1 (* x (+ (* -1 (/ (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* 2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (fmod (exp x) (sqrt (cos x))))) x)) (* -1 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 x x))) x))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) x))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
(+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) x)) x) #s(literal 1 binary64))

rewrite184.0ms (1.8%)

Memory
25.1MiB live, 187.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041275
071268
1195254
21113251
08494248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 674
Calls
Call 1
Inputs
(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)))
(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))) (*.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (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))))))
(/.f64 (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)))))
(exp.f64 x)
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.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)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
Outputs
(*.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)))) #s(literal 1 binary64))
(*.f64 #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)))))
(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(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(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 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))
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(*.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (/.f64 x (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) x) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)) (/.f64 x (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 x) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 x)

eval291.0ms (2.8%)

Memory
-23.6MiB live, 252.9MiB allocated
Compiler

Compiled 44 003 to 4 194 computations (90.5% saved)

prune47.0ms (0.4%)

Memory
9.7MiB live, 100.1MiB allocated
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New1 074171 091
Fresh21113
Picked325
Done011
Total1 079311 110
Accuracy
31.6%
Counts
1 110 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
4.7%
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal 2 binary64))
6.7%
(/.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 x))
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
▶5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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))))))
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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))))))
▶3.3%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
6.6%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
5.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
5.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
✓6.6%
(*.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)))
4.7%
(*.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))
3.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
16.2%
(*.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)))
19.7%
(*.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)))
▶29.4%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
✓27.5%
(*.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)))
▶26.7%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
6.7%
(exp.f64 (*.f64 (-.f64 x (log.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)))))) #s(literal -1 binary64)))
▶5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
2.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 x)))) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 (neg.f64 (log.f64 x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
✓5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))))))
2.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
3.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Compiler

Compiled 1 590 to 1 033 computations (35% saved)

simplify140.0ms (1.3%)

Memory
-12.9MiB live, 147.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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-diff320
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
cost-diff1216
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
cost-diff0
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
049506
079497
1112497
2156491
3205491
4352491
5537491
61070479
72447479
83738479
97009479
08462479
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 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) (-.f64 x #s(literal -1 binary64)))
(-.f64 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)))
(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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 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))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(*.f64 x x)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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(literal 1 binary64)
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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)))))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) 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 (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)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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 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) (-.f64 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) (-.f64 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) (-.f64 x #s(literal -1 binary64)))
(-.f64 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 (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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(*.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))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))))))
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) 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)))))
(*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (neg.f64 x) x #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)))))
(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 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
#s(literal 1 binary64)
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(exp.f64 x)
x
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1/4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) 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)))))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 x) x)
(exp.f64 x)
x
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) 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))))
#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)

localize397.0ms (3.8%)

Memory
22.3MiB live, 286.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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))))))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy1.0106135755054635
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.0625
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
accuracy47.003045346117304
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
accuracy0.01953125
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.9378178618142388
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
accuracy44.237299485840474
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
accuracy1.5383922818600069
#s(approx (exp x) #s(literal 1 binary64))
accuracy44.237299485840474
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
accuracy47.003045346117304
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
accuracy0.01953125
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
accuracy0.6074586877242687
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.9387029601597267
#s(approx (exp x) (-.f64 x #s(literal -1 binary64)))
accuracy44.237299485840474
(fmod.f64 #s(approx (exp x) (-.f64 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
186.0ms63×2valid
142.0ms120×1valid
23.0ms62×1exit
4.0ms11×0valid
Compiler

Compiled 806 to 83 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-pow: 156.0ms (62.3% of total)
adjust: 18.0ms (7.2% of total)
ival-exp: 16.0ms (6.4% of total)
ival-div: 13.0ms (5.2% of total)
ival-fmod: 13.0ms (5.2% of total)
ival-cos: 11.0ms (4.4% of total)
ival-mult: 11.0ms (4.4% of total)
ival-sqrt: 4.0ms (1.6% of total)
ival-add: 3.0ms (1.2% of total)
ival-sub: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
23 → 46
Calls
Call 1
Inputs
(fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64)))
(-.f64 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(exp.f64 x)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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)))))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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 (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))))
Outputs
(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 (* 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 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(/ 1 x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
(+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))))
(+ (* 1/6 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))))
(+ 1 (+ x (* 1/2 (pow x 2))))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/6 (/ (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ (pow x 4) (fmod (exp x) (sqrt (cos x)))))) x)) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (+ 1 x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x))))) (/ 2 (* 2 x)) (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x)))) (pow (pow (exp x) x) (/ 2 (* 2 x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))))
3.0ms
x
@inf
((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (+ 1 x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x))))) (/ 2 (* 2 x)) (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x)))) (pow (pow (exp x) x) (/ 2 (* 2 x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))))
2.0ms
x
@0
((fmod (exp x) (sqrt (cos x))) (exp x) (- x -1) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (/ (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (+ 1 x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (- 1 (* x x))) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (exp x) (fmod (exp x) (sqrt (cos x))))) (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (exp x) (fmod (exp x) (sqrt (cos x))) (/ 1 (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x))))) (/ 2 (* 2 x)) (/ (pow (pow (exp x) x) (/ 2 (* 2 x))) (fmod (exp x) (sqrt (cos x)))) (pow (pow (exp x) x) (/ 2 (* 2 x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))))

simplify256.0ms (2.5%)

Memory
-30.4MiB live, 215.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209897
1617808
21826706
36491706
08180665
Stop Event
1×iter limit
1×node limit
Counts
46 → 45
Calls
Call 1
Inputs
(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 (* 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 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos 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 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(/ 1 x)
(exp x)
x
(* x (+ 1 (/ 1 x)))
(sqrt (cos x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 2) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
(+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))))
(+ (* 1/6 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))))
(+ 1 (+ x (* 1/2 (pow x 2))))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/6 (/ (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ (pow x 4) (fmod (exp x) (sqrt (cos x)))))) x)) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 (fma.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 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 #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)))) (* 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 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))))
(+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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))))
(*.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 (- (* -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 (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (*.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(exp x)
(exp.f64 x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(* -1 (* x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (*.f64 (neg.f64 x) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 2) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))) (pow x 2))) (fmod (exp x) (sqrt (cos x)))) (* x (fmod (exp x) (sqrt (cos x)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x))))
(- (+ (* -1 (/ (+ (* -1 (* (pow x 2) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1/2 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))) (* 1/6 (* (pow x 6) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))) (* x (fmod (exp x) (sqrt (cos x)))))))
(fma.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))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x #s(literal 3 binary64))))
(+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* 1/6 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (+ (* 1/2 (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))))
(fma.f64 (*.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+ 1 (+ x (* 1/2 (pow x 2))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(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 (* x (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x))))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (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))
(+ (* -1 (/ (- (+ (* -1 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 x x))) x))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* (pow x 5) (fmod (exp x) (sqrt (cos x)))))) (+ (* -1 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (exp x) (sqrt (cos x))))))) x)) (* -1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) x)) (fmod (exp x) (sqrt (cos x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))))
(+ (* -1 (/ (- (* -1/2 (/ (pow x 3) (fmod (exp x) (sqrt (cos x))))) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 1/6 (/ (pow x 5) (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ (pow x 4) (fmod (exp x) (sqrt (cos x)))))) x)) (/ (pow x 2) (fmod (exp x) (sqrt (cos x))))) x)) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 x x)) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* -1/2 (pow x 3))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))) x))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (* -1 (pow x 2))) x)))
(+.f64 (/.f64 (fma.f64 x x (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) x)) x) #s(literal 1 binary64))

rewrite319.0ms (3.1%)

Memory
8.2MiB live, 175.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048354
077339
1224310
21127310
08682310
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 691
Calls
Call 1
Inputs
(fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64)))
(-.f64 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(exp.f64 x)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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)))))
(pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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 (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))))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
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(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (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))))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (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))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #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))))))
(*.f64 (pow.f64 (pow.f64 (/.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)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.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)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 #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)))))))
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(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (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))))))
(*.f64 (pow.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)))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.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)))) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (/.f64 (neg.f64 (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))))) #s(literal -1 binary64))
(*.f64 (neg.f64 (exp.f64 x)) (*.f64 (/.f64 #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))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #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))))))
(*.f64 (/.f64 (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))))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (pow.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)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (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))))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (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))))))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (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))))) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (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))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) (neg.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))))))
(/.f64 (/.f64 (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))))) #s(literal 1 binary64))
(/.f64 (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)))))
(/.f64 #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)))
(/.f64 #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)))) (neg.f64 (exp.f64 x))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.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)))))) (/.f64 (neg.f64 (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))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (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 (neg.f64 (*.f64 (-.f64 x (log.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)))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (-.f64 x (log.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)))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (/.f64 #s(literal 2 binary64) x))
(pow.f64 (pow.f64 (exp.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64)))
(exp.f64 x)
(*.f64 (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (exp.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (-.f64 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) (-.f64 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 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (-.f64 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 (fmod.f64 #s(approx (exp x) (-.f64 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))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 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 (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 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)))) #s(literal 1 binary64))
(*.f64 #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)))))
(*.f64 #s(literal -1 binary64) (neg.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))))))
(pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.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)))) #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))))
(/.f64 (neg.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))))) #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)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.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)))) #s(literal -1 binary64)))
(neg.f64 (neg.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))))))
(-.f64 #s(literal 0 binary64) (neg.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 (*.f64 (log.f64 (pow.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)))) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval169.0ms (1.6%)

Memory
1.6MiB live, 115.4MiB allocated
Compiler

Compiled 29 567 to 3 036 computations (89.7% saved)

prune51.0ms (0.5%)

Memory
4.4MiB live, 81.8MiB allocated
Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New81216828
Fresh12223
Picked235
Done033
Total81544859
Accuracy
31.6%
Counts
859 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
6.7%
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
3.0%
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1/2 binary64))
4.7%
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal 2 binary64))
6.7%
(/.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 x))
3.3%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x))
29.4%
(/.f64 (fmod.f64 #s(approx (exp x) (-.f64 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))
1.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
4.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) 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))))))
5.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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))))))
✓3.3%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
29.4%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
6.6%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
3.3%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
3.3%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (*.f64 (log.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
5.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (pow (exp x) x) (/ 2 (* 2 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))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
5.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (pow (exp x) x) (/ 2 (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))))))
3.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
3.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64))))
3.3%
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))))
5.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
5.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
6.7%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
✓6.6%
(*.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)))
4.7%
(*.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))
3.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
16.2%
(*.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)))
19.7%
(*.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)))
✓29.4%
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
✓27.5%
(*.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)))
✓26.7%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
6.7%
(exp.f64 (*.f64 (-.f64 x (log.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)))))) #s(literal -1 binary64)))
3.3%
(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (fma.f64 x x #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))))) (-.f64 #s(literal -1 binary64) x)))
2.7%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 x)))) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 (neg.f64 (log.f64 x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
✓5.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))))))
2.5%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
3.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
5.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Compiler

Compiled 2 843 to 1 072 computations (62.3% saved)

regimes34.0ms (0.3%)

Memory
13.3MiB live, 51.8MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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) (-.f64 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 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))
(*.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)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.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))) (/.f64 (*.f64 (fma.f64 x x #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))))) (-.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (-.f64 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 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (pow (exp x) x) (/ 2 (* 2 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (pow (exp x) x) (/ 2 (* 2 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))) (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))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) 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)))) (-.f64 #s(literal 1 binary64) (*.f64 x 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 #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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (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 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* (pow (+ (* x x) 1) -1) (- 1 x)) (neg (* x (/ x (- 1 x))))) (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (exp x) (fmod (exp x) (sqrt (cos x)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) 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)))
(exp.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 x (log.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)))))) #s(literal -1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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))))))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (*.f64 (log.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(pow.f64 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (expm1.f64 (neg.f64 (log.f64 x)))) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (expm1.f64 (neg.f64 (log.f64 x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (pow.f64 (exp.f64 x) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.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)))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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:

17.0ms
x
13.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
29.4%1x
29.4%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)

regimes5.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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))) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
29.5%2x
29.5%2(*.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)

regimes6.0ms (0.1%)

Memory
-36.3MiB live, 8.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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:

4.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
27.5%1x
27.5%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)

regimes4.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Accuracy

Total -16.1b remaining (-34.3%)

Threshold costs -16.1b (-34.3%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (- 1 x) (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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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
26.7%1x
26.7%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
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify69.0ms (0.7%)

Memory
-1.5MiB live, 37.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043133
159133
274132
385132
4100132
5118132
6240132
73878132
86385132
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (-.f64 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)))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (-.f64 #s(literal 1 binary64) 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)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))

soundness781.0ms (7.5%)

Memory
5.9MiB live, 401.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02991235
19021117
22772981
08262925
0127465
1346410
2981373
33226365
47707365
09024337
076218
1181197
2419191
31049181
41886181
53809181
65183181
76526181
08002159
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 257 to 146 computations (43.2% saved)

preprocess43.0ms (0.4%)

Memory
14.3MiB live, 60.7MiB allocated
Compiler

Compiled 286 to 106 computations (62.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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