expfmod (used to be hard to sample)

Time bar (total: 12.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze185.0ms (1.5%)

Memory
-25.3MiB live, 340.6MiB allocated
Algorithm
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)

sample4.9s (40.2%)

Memory
-72.9MiB live, 3 715.7MiB allocated
Samples
1.5s1 635×5exit
1.3s2 514×2valid
814.0ms3 612×1valid
390.0ms3 378×0invalid
264.0ms2 130×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-cos: 1.3s (33.3% of total)
ival-exp: 949.0ms (24.9% of total)
ival-fmod: 804.0ms (21.1% of total)
adjust: 274.0ms (7.2% of total)
ival-sqrt: 232.0ms (6.1% of total)
ival-mult: 163.0ms (4.3% of total)
ival-neg: 100.0ms (2.6% of total)
ival-true: 11.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain281.0ms (2.3%)

Memory
-11.6MiB live, 239.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1890-189(4.547049373492689e-186)(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)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Confusion
Predicted +Predicted -
+0249
-07
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+00249
-007
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
166.0ms172×2valid
40.0ms190×1valid
16.0ms120×1exit
3.0ms30×0valid
Compiler

Compiled 101 to 36 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-cos: 61.0ms (40.4% of total)
ival-exp: 34.0ms (22.5% of total)
ival-fmod: 28.0ms (18.5% of total)
adjust: 10.0ms (6.6% of total)
ival-sqrt: 10.0ms (6.6% of total)
ival-mult: 5.0ms (3.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess16.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
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
iter limit
saturated
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)

localize333.0ms (2.7%)

Memory
-31.7MiB live, 128.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.0078125
(sqrt.f64 (cos.f64 x))
accuracy0.02734375
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
271.0ms86×2valid
20.0ms95×1valid
9.0ms60×1exit
2.0ms15×0valid
Compiler

Compiled 60 to 18 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 286.0ms
ival-cos: 243.0ms (84.9% of total)
ival-exp: 16.0ms (5.6% of total)
ival-fmod: 13.0ms (4.5% of total)
adjust: 5.0ms (1.7% of total)
ival-sqrt: 4.0ms (1.4% of total)
ival-mult: 3.0ms (1% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.5MiB live, 4.5MiB 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))))

simplify148.0ms (1.2%)

Memory
34.1MiB live, 145.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076218
1181197
2419191
31049181
41886181
53809181
65183181
76526181
08002159
Stop Event
iter limit
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))

rewrite82.0ms (0.7%)

Memory
-32.2MiB live, 50.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
01523
12422
26322
325722
0199022
Stop Event
iter limit
iter limit
node limit
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
12.2MiB live, 12.2MiB allocated
Compiler

Compiled 1 207 to 279 computations (76.9% saved)

prune9.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New721082
Fresh000
Picked011
Done000
Total721183
Accuracy
31.3%
Counts
83 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.3%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.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)))
27.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
6.3%
#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 414 to 294 computations (29% saved)

simplify162.0ms (1.3%)

Memory
-41.5MiB live, 125.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
#s(approx (sqrt (cos x)) (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)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(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))
cost-diff0
(*.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))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
cost-diff0
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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
045355
078355
1117355
2202350
3436350
41186350
52293350
63625350
74961350
85891350
97561350
08337350
Stop Event
iter limit
node limit
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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.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))))
(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))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(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 (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)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (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)))
(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))
(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))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (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) (sqrt.f64 (cos.f64 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))))
(*.f64 (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) (sqrt.f64 (cos.f64 x))))
(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))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(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 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (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)))
(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))
(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))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
#s(literal -19/5760 binary64)
(*.f64 x x)
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize242.0ms (2%)

Memory
18.4MiB live, 211.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
accuracy0.02734375
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x)))
accuracy0.27407559634239503
#s(approx (sqrt (cos x)) (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)))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
accuracy0.0078125
(sqrt.f64 (cos.f64 x))
accuracy0.03125
(*.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))))
accuracy0.4955833050006919
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0078125
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.02734375
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy0.510934646463974
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
accuracy0.0078125
(sqrt.f64 (cos.f64 x))
accuracy0.03515625
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy1.106349354932301
#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)))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.0078125
(sqrt.f64 (cos.f64 x))
accuracy0.02734375
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy1.7124424478473639
#s(approx (exp x) #s(literal 1 binary64))
accuracy43.987730143650694
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
80.0ms86×2valid
55.0ms95×1valid
46.0ms60×1exit
4.0ms15×0valid
Compiler

Compiled 614 to 81 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
const: 40.0ms (26.9% of total)
ival-mult: 22.0ms (14.8% of total)
adjust: 21.0ms (14.1% of total)
ival-exp: 17.0ms (11.4% of total)
ival-cos: 17.0ms (11.4% of total)
ival-fmod: 14.0ms (9.4% of total)
ival-add: 10.0ms (6.7% of total)
ival-sqrt: 4.0ms (2.7% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
23 → 57
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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.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))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
#s(approx (sqrt (cos x)) (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)))
(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))
(*.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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 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 (* -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))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
-1/96
(- (* -19/5760 (pow x 2)) 1/96)
(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))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 2))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
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)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))
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)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))
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)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -19/5760 (* x x)) -1/96))

simplify137.0ms (1.1%)

Memory
-5.7MiB live, 147.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196745
1553689
21810641
34640602
08119562
Stop Event
iter limit
node limit
Counts
57 → 57
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))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
-1/96
(- (* -19/5760 (pow x 2)) 1/96)
(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))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -19/5760 (pow x 6))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(* -19/5760 (pow x 2))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) 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)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (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
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
-1/96
#s(literal -1/96 binary64)
(- (* -19/5760 (pow x 2)) 1/96)
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
(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)
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/96 binary64) (*.f64 x x)) #s(literal 19/5760 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* -19/5760 (pow x 2))
(*.f64 #s(literal -19/5760 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (neg.f64 x))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64))

rewrite541.0ms (4.4%)

Memory
15.7MiB live, 173.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045274
078274
1217269
21356269
08332269
Stop Event
iter limit
node limit
iter limit
Counts
23 → 352
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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.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))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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))))
#s(approx (sqrt (cos x)) (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)))
(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))
(*.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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
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 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.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 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.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 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3 binary64))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) 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))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x 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)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.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)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.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))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
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(fma.f64 (*.f64 #s(literal -19/5760 binary64) x) x #s(literal -1/96 binary64))
(fma.f64 (*.f64 #s(literal 361/33177600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64)))))
(fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64))
(fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))
(fma.f64 x (*.f64 #s(literal -19/5760 binary64) x) #s(literal -1/96 binary64))
(-.f64 (/.f64 #s(literal 1/9216 binary64) (-.f64 #s(literal -1/96 binary64) (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 361/33177600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/96 binary64) (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 361/33177600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64))) (/.f64 #s(literal 1/9216 binary64) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 361/33177600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64))) (neg.f64 (/.f64 #s(literal 1/9216 binary64) (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal 1/96 binary64)))))
(+.f64 (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)) #s(literal -1/96 binary64))
(+.f64 #s(literal -1/96 binary64) (*.f64 #s(literal -19/5760 binary64) (*.f64 x x)))

eval85.0ms (0.7%)

Memory
6.2MiB live, 93.1MiB allocated
Compiler

Compiled 17 664 to 2 036 computations (88.5% saved)

prune29.0ms (0.2%)

Memory
-30.1MiB live, 45.7MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New43518453
Fresh235
Picked415
Done011
Total44123464
Accuracy
31.6%
Counts
464 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
7.7%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 x))
7.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.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)))
0.9%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
1.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
1.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
3.7%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
27.1%
(*.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)))
7.2%
#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) (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)))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
5.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
6.3%
#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))) (sqrt.f64 (cos.f64 x)))))
6.3%
#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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
6.3%
#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))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(approx (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (neg.f64 x))))))
Compiler

Compiled 1 437 to 931 computations (35.2% saved)

simplify152.0ms (1.2%)

Memory
7.5MiB live, 124.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))
cost-diff0
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(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))
cost-diff0
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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
057504
092504
1143504
2239500
3468500
41208496
52272492
63434492
74464492
85536492
97355492
107968492
08001488
Stop Event
iter limit
node limit
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)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(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))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -19/5760 binary64)
(exp.f64 (neg.f64 x))
(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)))
(/.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)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 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))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -19/5760 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize464.0ms (3.8%)

Memory
22.8MiB live, 253.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
accuracy0.27407559634239503
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
accuracy47.55786091216031
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))
accuracy0.0078125
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
accuracy0.025722509768442016
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
accuracy0.510934646463974
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
accuracy0.03125
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy0.3046417823356682
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.4955833050006919
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.03515625
(*.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)))))
accuracy0.4590841501917302
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy1.106349354932301
#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))))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.02734375
(*.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)))
accuracy0.4590841501917302
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy1.7124424478473639
#s(approx (exp x) #s(literal 1 binary64))
accuracy43.987730143650694
(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
242.0ms86×2valid
135.0ms95×1valid
38.0ms60×1exit
5.0ms15×0valid
Compiler

Compiled 781 to 107 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
adjust: 90.0ms (40.9% of total)
ival-mult: 30.0ms (13.6% of total)
ival-fmod: 21.0ms (9.6% of total)
ival-cos: 19.0ms (8.6% of total)
ival-exp: 17.0ms (7.7% of total)
ival-add: 15.0ms (6.8% of total)
const: 13.0ms (5.9% of total)
ival-sqrt: 4.0ms (1.8% of total)
ival-pow: 4.0ms (1.8% of total)
ival-div: 3.0ms (1.4% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
24 → 58
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))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 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)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 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))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 (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)))
(* -19/5760 (pow x 6))
(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))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(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))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
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))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (pow x 6) -19/5760))
2.0ms
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))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (pow x 6) -19/5760))
2.0ms
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))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ (fmod (exp x) (sqrt (cos x))) (exp x)) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (* (pow x 6) -19/5760))

simplify306.0ms (2.5%)

Memory
-16.1MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0214812
1612739
22028685
35909651
08191615
Stop Event
iter limit
node limit
Counts
58 → 58
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))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ 1 (* -1/2 (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)))
(* -19/5760 (pow x 6))
(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))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(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))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
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 (*.f64 x x) #s(literal -1/96 binary64) #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 (*.f64 x x) #s(literal -19/5760 binary64) #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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) 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)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (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
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (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))
(* -19/5760 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(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)
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -1 (* (pow x 6) (+ 19/5760 (* 1/96 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/96 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))) 19/5760))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 19/5760 (+ (/ 1/4 (pow x 4)) (* 1/96 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* -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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (*.f64 x x))

rewrite208.0ms (1.7%)

Memory
14.4MiB live, 211.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056375
090375
1281372
21818372
08626363
Stop Event
iter limit
node limit
iter limit
Counts
24 → 305
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))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64)))))
#s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))
#s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 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)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #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 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 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 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #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))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
#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 (-.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))))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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))))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #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))) (pow.f64 (+.f64 #s(literal 1 binary64) 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) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x 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)))) (-.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)))))
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(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -19/5760 binary64)))
(*.f64 #s(literal -19/5760 binary64) (pow.f64 x #s(literal 6 binary64)))

eval81.0ms (0.7%)

Memory
0.2MiB live, 118.9MiB allocated
Compiler

Compiled 19 014 to 1 683 computations (91.1% saved)

prune67.0ms (0.5%)

Memory
-20.8MiB live, 53.5MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New42214436
Fresh61016
Picked235
Done022
Total43029459
Accuracy
32.0%
Counts
459 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
7.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.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)))
1.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
12.4%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
17.5%
(*.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)))
3.7%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
27.1%
(*.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)))
25.8%
(*.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)))
7.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
6.3%
#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)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
5.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.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))))))
6.3%
#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))))))
6.3%
#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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
6.3%
#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))))))
2.4%
#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)))))))
3.4%
#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))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(approx (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (neg.f64 x))))))
Compiler

Compiled 1 794 to 1 136 computations (36.7% saved)

simplify123.0ms (1%)

Memory
9.9MiB live, 96.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos x) (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)))
cost-diff0
(sqrt.f64 #s(approx (cos x) (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))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
cost-diff0
(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))
cost-diff0
(*.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
cost-diff832
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(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))
cost-diff0
(*.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) #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 (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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(*.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)))))
cost-diff0
#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))))))
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)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056616
090610
1139604
2246599
3742599
43756599
56626599
08132599
Stop Event
iter limit
node limit
iter limit
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)))
(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 #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))))))
(*.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 (- 1 x) (neg.f64 x))
(neg.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))))
(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)
#s(literal 1 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(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))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
#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 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(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))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (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))))
#s(approx (cos x) (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)))
(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))
(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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
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)))
(/.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 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 #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 (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 (- 1 x) (neg.f64 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)))))
(*.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)))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.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))))
(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)
#s(literal 1 binary64)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (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))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (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)))))
(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))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(exp.f64 x)
#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 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 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))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))
x
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
(*.f64 x x)
#s(literal -1/4 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (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))))
#s(approx (cos x) (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)))
(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))
(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))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 x x)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize327.0ms (2.7%)

Memory
-6.9MiB live, 315.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
accuracy0.02734375
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
accuracy0.23539650692055303
#s(approx (cos x) (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)))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
accuracy0.03125
(*.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
accuracy0.3046417823356682
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy0.4955833050006919
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
accuracy43.987730143650694
(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.03125
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
accuracy0.4590841501917302
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy0.4955833050006919
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy0.4590841501917302
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy1.106349354932301
#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))))))
accuracy43.987730143650694
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))
accuracy47.205182779308785
#s(approx (- 1 x) (neg.f64 x))
accuracy0.4590841501917302
#s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
accuracy1.7124424478473639
#s(approx (exp x) #s(literal 1 binary64))
accuracy43.987730143650694
(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)))))
accuracy47.69149923554374
#s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
Samples
119.0ms86×2valid
99.0ms95×1valid
31.0ms60×0exit
6.0ms15×0valid
Compiler

Compiled 986 to 102 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-fmod: 62.0ms (29.5% of total)
ival-exp: 32.0ms (15.2% of total)
ival-mult: 32.0ms (15.2% of total)
adjust: 20.0ms (9.5% of total)
ival-div: 15.0ms (7.1% of total)
const: 15.0ms (7.1% of total)
ival-add: 14.0ms (6.7% of total)
ival-cos: 11.0ms (5.2% of total)
ival-sqrt: 4.0ms (1.9% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
25 → 70
Calls
Call 1
Inputs
(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)))
#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))))))
(*.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 (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (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))))
#s(approx (cos x) (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)))
(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)))
(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 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))
(* -1 x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fmod (/ 1 (exp (neg x))) (sqrt (cos x)))
(+ (* -1 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (* 1/2 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(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)))
(* x (- (/ 1 x) 1))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(/ 1 (exp (neg x)))
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)) (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 3))))))
(cos x)
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 1 (exp (* -1 x)))
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
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) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ 1 (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))
2.0ms
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) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ 1 (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))
1.0ms
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) (neg x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (/ 1 (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (+ (* -1/720 (* x x)) 1/24))

simplify195.0ms (1.6%)

Memory
7.9MiB live, 124.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02381031
1700946
22432863
35599805
08231764
Stop Event
iter limit
node limit
Counts
70 → 70
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))
(* -1 x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fmod (/ 1 (exp (neg x))) (sqrt (cos x)))
(+ (* -1 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (* 1/2 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1/24
(+ 1/24 (* -1/720 (pow x 2)))
(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)))
(* x (- (/ 1 x) 1))
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(/ 1 (exp (neg x)))
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))
(* (pow x 3) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x))))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)))))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)) (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 3))))))
(cos x)
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (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 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(/ 1 (exp (* -1 x)))
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(fmod (/ 1 (exp (* -1 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 #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 (-.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))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) 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)
(* -1 x)
(neg.f64 x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (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
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fmod (/ 1 (exp (neg x))) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))) (* 1/2 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))))) (fmod (/ 1 (exp (neg x))) (sqrt (cos x))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (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))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow x 2)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
(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))))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))))))
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64))))
(* -1/6 (pow x 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ 1 (exp (neg x)))
(exp.f64 x)
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (pow x 3) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* -1 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (/ 1 (exp (neg x))) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) x)) (/ (fmod (/ 1 (exp (neg x))) (sqrt (cos x))) (pow x 3))))))
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(cos x)
(cos.f64 x)
(* -1/720 (pow x 2))
(*.f64 #s(literal -1/720 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) 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)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) x)))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (*.f64 x x))
(/ 1 (exp (* -1 x)))
(exp.f64 x)
(* -1/6 (* (pow x 3) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))) x)) (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))) x)) (* 1/2 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x))))) x)) (* 1/6 (fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 x))) x)))
(fmod (/ 1 (exp (* -1 x))) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

rewrite186.0ms (1.5%)

Memory
-0.1MiB live, 193.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055424
088418
1266408
21693408
08569408
Stop Event
iter limit
node limit
iter limit
Counts
25 → 249
Calls
Call 1
Inputs
(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)))
#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))))))
(*.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 (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(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))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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)))))
(exp.f64 x)
(sqrt.f64 #s(approx (cos x) (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))))
#s(approx (cos x) (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)))
(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)))
(fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))
Outputs
(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)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))) #s(approx (- 1 x) (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)))) #s(approx (- 1 x) (neg.f64 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 (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (log.f64 (exp.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (exp.f64 x)))
(neg.f64 x)
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eval62.0ms (0.5%)

Memory
6.7MiB live, 123.5MiB allocated
Compiler

Compiled 22 426 to 1 758 computations (92.2% saved)

prune38.0ms (0.3%)

Memory
-9.9MiB live, 103.0MiB allocated
Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New4457452
Fresh41519
Picked055
Done055
Total44932481
Accuracy
32.4%
Counts
481 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
7.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
6.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.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)))
1.3%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
12.4%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
17.5%
(*.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)))
3.7%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
27.1%
(*.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)))
25.8%
(*.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)))
7.7%
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
7.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
6.8%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
5.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.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))))))
6.3%
#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))))))
6.3%
#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))))))
2.4%
#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)))))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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))))))
3.4%
#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))))))
7.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(approx (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (neg.f64 x))))))
Compiler

Compiled 2 708 to 976 computations (64% saved)

regimes112.0ms (0.9%)

Memory
-28.3MiB live, 72.4MiB allocated
Counts
50 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 #s(literal -19/5760 binary64) (/.f64 #s(literal 1/96 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) x) #s(literal 19/5760 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) #s(approx (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (neg.f64 x))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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)))
Calls

2 calls:

55.0ms
x
12.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
31.3%2x
31.3%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)

regimes29.0ms (0.2%)

Memory
31.2MiB live, 66.1MiB allocated
Counts
42 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
(*.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 #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:

16.0ms
x
10.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
31.3%2x
31.3%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)

regimes38.0ms (0.3%)

Memory
-4.3MiB live, 34.6MiB allocated
Counts
41 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64)) x) x)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (+ (* (+ (* -19/5760 (* x x)) -1/96) (* x x)) -1/4) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -19/5760 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (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)))
Calls

2 calls:

24.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
12.0ms
x
Results
AccuracySegmentsBranch
31.1%2x
31.1%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)

regimes22.0ms (0.2%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
38 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.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)))
Calls

2 calls:

11.0ms
x
9.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
31.1%2x
31.1%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)

regimes207.0ms (1.7%)

Memory
-34.2MiB live, 13.9MiB allocated
Counts
36 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (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)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 x))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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)))
Calls

2 calls:

194.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
10.0ms
x
Results
AccuracySegmentsBranch
31.1%2x
31.1%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)

regimes20.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
34 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* x x)) 1/24) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #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:

10.0ms
x
8.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
31.1%2x
31.1%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)

regimes36.0ms (0.3%)

Memory
-15.4MiB live, 22.8MiB allocated
Counts
32 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(approx (+ (* -19/5760 (* x x)) -1/96) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#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))) (sqrt.f64 (cos.f64 x)))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (exp.f64 x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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)))))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #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:

26.0ms
x
8.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
31.1%2x
31.1%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)

regimes16.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
26 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(*.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 #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:

8.0ms
x
6.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.8%2x
30.8%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)

regimes16.0ms (0.1%)

Memory
-22.7MiB live, 16.0MiB allocated
Counts
24 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (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)))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

9.0ms
x
6.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.6%2x
30.6%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)

regimes13.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
20 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

6.0ms
x
5.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.6%2x
30.6%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)

regimes12.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
19 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

6.0ms
x
5.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.6%2x
30.6%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)

regimes37.0ms (0.3%)

Memory
-30.8MiB live, 8.0MiB allocated
Counts
18 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) 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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (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:

31.0ms
x
5.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.5%2x
30.5%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)

regimes9.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
12 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg 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) #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 (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) #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:

4.0ms
x
3.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.5%2x
30.5%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)

regimes8.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
11 → 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))))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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) (sqrt.f64 #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))))))
(*.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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (*.f64 (*.f64 #s(literal -1/6 binary64) 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
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))))))
(*.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:

4.0ms
x
3.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
30.2%2x
30.2%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)

regimes5.0ms (0%)

Memory
4.0MiB live, 4.0MiB 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
29.7%2x
29.7%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)

regimes4.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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:

2.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
27.1%1x
27.1%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
3.6MiB live, 3.6MiB allocated
Counts
3 → 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)))))))
Outputs
#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))))))
(*.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
27.7%2x
25.8%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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)))
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:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
25.8%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
25.8%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000002
NaN
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch13.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
1.7375073774205286e-165
1.3122770710813228e-161
Samples
10.0ms48×1valid
Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-fmod: 3.0ms (37.3% of total)
ival-exp: 2.0ms (24.9% of total)
adjust: 1.0ms (12.4% of total)
ival-cos: 1.0ms (12.4% of total)
ival-sqrt: 1.0ms (12.4% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify190.0ms (1.5%)

Memory
-30.2MiB live, 50.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191116
11391116
21621108
31991108
42201108
52461108
64381108
735581108
877971108
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(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 (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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (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))))
(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 (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) #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))))
(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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (*.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))))
(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)))
(if (<=.f64 x #s(literal 8104522595470689/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) #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)))))) (*.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 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
Outputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (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))))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (exp.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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (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)))) (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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 #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))))
(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 (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 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (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 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (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) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) (*.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 (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))))
(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 (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) #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))))
(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 (fma.f64 x #s(approx (+ (* (+ (* -1/6 x) 1/2) x) -1) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))) (*.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))))
(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)))
(if (<=.f64 x #s(literal 8104522595470689/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) #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)))))) (*.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 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))

soundness2.0s (16%)

Memory
42.1MiB live, 1 032.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0196745
1553689
21810641
34640602
08119562
056375
090375
1281372
21818372
08626363
0214812
1612739
22028685
35909651
08191615
045274
078274
1217269
21356269
08332269
02381031
1700946
22432863
35599805
08231764
055424
088418
1266408
21693408
08569408
076218
1181197
2419191
31049181
41886181
53809181
65183181
76526181
08002159
0823
01523
12422
26322
325722
0199022
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 875 to 687 computations (63.4% saved)

preprocess89.0ms (0.7%)

Memory
-6.4MiB live, 150.1MiB allocated
Compiler

Compiled 2 252 to 264 computations (88.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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