expfmod (used to be hard to sample)

Time bar (total: 12.3s)

analyze188.0ms (1.5%)

Memory
-7.7MiB live, 431.5MiB 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)

sample4.3s (35.1%)

Memory
73.9MiB live, 4 959.7MiB allocated
Samples
1.4s1 635×5exit
1.0s2 584×2valid
727.0ms3 621×1valid
349.0ms3 201×0invalid
219.0ms2 051×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-cos: 1.2s (35.9% of total)
ival-fmod: 737.0ms (22.5% of total)
ival-exp: 707.0ms (21.6% of total)
ival-sqrt: 238.0ms (7.3% of total)
adjust: 196.0ms (6% of total)
ival-mult: 144.0ms (4.4% of total)
ival-neg: 61.0ms (1.9% of total)
ival-true: 10.0ms (0.3% of total)
ival-assert: 5.0ms (0.2% of total)
Bogosity

preprocess17.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Rules
32×sub-neg
30×times-frac
28×div-sub
24×*-lowering-*.f32
24×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531
13531
27830
313830
418730
520730
622430
724330
825430
925630
0810
11510
2259
3319
4369
5429
6499
7559
8569
0569
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Call 2
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x))))
(* (fmod (exp (neg x)) (sqrt (cos x))) (exp x))
(neg (* (fmod (exp (neg x)) (sqrt (cos (neg x)))) (exp (neg (neg x)))))
(* (fmod (exp (neg x)) (sqrt (cos x))) (neg (exp x)))

explain302.0ms (2.5%)

Memory
-36.7MiB live, 252.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1990-199(-8.900134799138704e-180)(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)
01(-175.13041616694636)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+0253
-12
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+00253
-102
Precision?
0.0
Recall?
0.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
110.0ms162×2valid
95.0ms220×1valid
22.0ms108×1exit
2.0ms22×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-fmod: 72.0ms (34.8% of total)
ival-mult: 50.0ms (24.2% of total)
ival-exp: 36.0ms (17.4% of total)
ival-cos: 21.0ms (10.2% of total)
adjust: 15.0ms (7.3% of total)
ival-sqrt: 9.0ms (4.4% of total)
ival-neg: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff128
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
12×/-lowering-/.f32
12×/-lowering-/.f64
+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
11529
22528
33128
43628
54228
64928
75528
85628
05628
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
Outputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize80.0ms (0.6%)

Memory
-3.8MiB live, 72.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy26.9%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
33.0ms81×2valid
25.0ms110×1valid
7.0ms54×1exit
1.0ms11×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 16.0ms (29.4% of total)
ival-fmod: 14.0ms (25.8% of total)
ival-cos: 10.0ms (18.4% of total)
ival-mult: 5.0ms (9.2% of total)
adjust: 4.0ms (7.4% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (exp x)>
#<alt (sqrt (cos x))>
#<alt (cos x)>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* 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))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@inf
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@0
(sqrt (cos x))
0.0ms
x
@0
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@inf
(sqrt (cos x))

rewrite76.0ms (0.6%)

Memory
5.2MiB live, 85.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
612×*-lowering-*.f32
612×*-lowering-*.f64
600×/-lowering-/.f32
600×/-lowering-/.f64
252×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
11722
25622
324922
0198722
Stop Event
iter limit
iter limit
node limit
Counts
5 → 64
Calls
Call 1
Inputs
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
(fmod (exp x) (sqrt (cos x)))
(exp x)
(sqrt (cos x))
(cos x)
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.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) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 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 (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 (*.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)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))

simplify429.0ms (3.5%)

Memory
34.2MiB live, 505.2MiB allocated
Algorithm
egg-herbie
Rules
13 324×accelerator-lowering-fma.f32
13 324×accelerator-lowering-fma.f64
3 658×*-lowering-*.f32
3 658×*-lowering-*.f64
2 382×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 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)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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 (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))
(* (exp (* -1 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))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

eval45.0ms (0.4%)

Memory
-19.5MiB live, 19.4MiB allocated
Compiler

Compiled 1 602 to 284 computations (82.3% saved)

prune17.0ms (0.1%)

Memory
-9.9MiB live, 28.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1159124
Fresh000
Picked101
Done000
Total1169125
Accuracy
27.3%
Counts
125 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
5.8%
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
5.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.8%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
26.5%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.6%
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
5.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
24.9%
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
Compiler

Compiled 210 to 146 computations (30.5% saved)

simplify9.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
cost-diff64
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
cost-diff0
(cos.f64 x)
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff128
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff128
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
60×*-lowering-*.f32
60×*-lowering-*.f64
38×/-lowering-/.f32
38×/-lowering-/.f64
22×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019125
130125
245123
356123
466123
572123
683123
7106123
8117123
9120123
10121123
0121123
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
x
1
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
(* (fmod (exp x) 1) (exp (neg x)))
(fmod (exp x) 1)
(exp x)
x
1
(exp (neg x))
(neg x)
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(exp x)
x
(sqrt (cos x))
(cos x)
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
1
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(exp x)
x
(fmod (exp x) (pow (cos x) 1/2))
(pow (cos x) 1/2)
(cos x)
1/2
Outputs
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (+ x 1) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(* (fmod (exp x) 1) (exp (neg x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1
#s(literal 1 binary64)
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp x)
(exp.f64 x)
x
(fmod (exp x) (pow (cos x) 1/2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow (cos x) 1/2)
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
1/2
#s(literal 1/2 binary64)

localize212.0ms (1.7%)

Memory
-19.7MiB live, 289.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
accuracy26.9%
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy26.9%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy26.9%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
accuracy26.9%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy27.3%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
85.0ms110×1valid
62.0ms81×2valid
12.0ms54×1exit
2.0ms11×0valid
Compiler

Compiled 133 to 19 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-cos: 48.0ms (35.3% of total)
ival-fmod: 41.0ms (30.2% of total)
ival-exp: 16.0ms (11.8% of total)
ival-div: 9.0ms (6.6% of total)
adjust: 7.0ms (5.1% of total)
ival-mult: 5.0ms (3.7% of total)
ival-sqrt: 4.0ms (2.9% of total)
ival-add: 3.0ms (2.2% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
-25.6MiB live, 11.5MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))>
#<alt (fmod (+ x 1) (sqrt (cos x)))>
#<alt (+ x 1)>
#<alt (sqrt (cos x))>
#<alt (* (fmod (exp x) 1) (exp (neg x)))>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (cos x)>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))>
#<alt (pow (cos x) 1/2)>
#<alt (/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))>
#<alt (fmod (exp x) (pow (cos x) 1/2))>
Outputs
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (neg x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (* (exp (* -1 x)) (fmod (exp x) 1))>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (/ 1 (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (exp x) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
Calls

45 calls:

TimeVariablePointExpression
19.0ms
x
@0
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
1.0ms
x
@inf
(+ x 1)
1.0ms
x
@-inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1.0ms
x
@inf
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
0.0ms
x
@-inf
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))

rewrite326.0ms (2.6%)

Memory
22.7MiB live, 557.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 090×*-lowering-*.f32
5 090×*-lowering-*.f64
3 284×/-lowering-/.f32
3 284×/-lowering-/.f64
2 364×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01985
17283
229883
3179183
0842783
Stop Event
iter limit
node limit
Counts
15 → 444
Calls
Call 1
Inputs
(* (fmod (+ x 1) (sqrt (cos x))) (exp (neg x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
(sqrt (cos x))
(* (fmod (exp x) 1) (exp (neg x)))
(fmod (exp x) 1)
(exp x)
(exp (neg x))
(fmod (exp x) (sqrt (cos x)))
(cos x)
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ 1 (/ (exp x) (fmod (exp x) (pow (cos x) 1/2))))
(pow (cos x) 1/2)
(/ (exp x) (fmod (exp x) (pow (cos x) 1/2)))
(fmod (exp x) (pow (cos x) 1/2))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 x (log.f64 (E.f64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify514.0ms (4.2%)

Memory
36.6MiB live, 878.2MiB allocated
Algorithm
egg-herbie
Rules
19 906×accelerator-lowering-fma.f32
19 906×accelerator-lowering-fma.f64
5 222×*-lowering-*.f32
5 222×*-lowering-*.f64
3 328×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491405
14161346
210671261
340671243
085211197
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(fmod (+ 1 x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 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)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (neg x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(* (exp (* -1 x)) (fmod (exp x) 1))
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
1
(+ 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)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
Outputs
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))
(+.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod (+ 1 x) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(* (exp (neg x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod (exp x) 1))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (* x (- (* -1 (* 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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 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))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/96 binary64) (*.f64 x (*.f64 x #s(literal -19/5760 binary64)))))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(/ 1 (fmod (exp x) (sqrt (cos x))))
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x)))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))
(+.f64 (*.f64 x (*.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/ (exp x) (fmod (exp x) (sqrt (cos x))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

eval108.0ms (0.9%)

Memory
2.7MiB live, 184.5MiB allocated
Compiler

Compiled 15 389 to 1 631 computations (89.4% saved)

prune97.0ms (0.8%)

Memory
-7.5MiB live, 208.3MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New96317980
Fresh404
Picked415
Done000
Total97118989
Accuracy
65.0%
Counts
989 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
4.1%
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
5.6%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
5.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
5.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x))
5.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.4%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
5.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
5.4%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
26.3%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
26.5%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
12.1%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
5.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
5.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
5.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
63.2%
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
24.8%
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 454 to 322 computations (29.1% saved)

simplify155.0ms (1.3%)

Memory
-24.6MiB live, 92.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff0
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
cost-diff128
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
1 784×accelerator-lowering-fma.f32
1 784×accelerator-lowering-fma.f64
852×*-lowering-*.f32
852×*-lowering-*.f64
530×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025154
155154
2107153
3236153
4552153
51187153
61654153
72376153
82501153
92645153
102842153
113031153
123054153
133126153
143200153
153202153
163204153
173207153
183208153
193208153
03208148
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (fmod x (sqrt (cos x))) (exp (neg x)))
(fmod x (sqrt (cos x)))
x
(sqrt (cos x))
(cos x)
(exp (neg x))
(neg x)
(fmod (exp x) 1)
(exp x)
x
1
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x)))))
(fmod (exp x) 1)
(exp x)
x
1
(- 1 (- x (* 1/2 (* x x))))
(- x (* 1/2 (* x x)))
(* 1/2 (* x x))
1/2
(* x x)
(/ (fmod (exp x) 1) (exp x))
(fmod (exp x) 1)
(exp x)
x
1
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
x
1
(sqrt (cos x))
(cos x)
(pow (exp (- 0 (* x x))) (/ 1 x))
(exp (- 0 (* x x)))
(- 0 (* x x))
0
(* x x)
(/ 1 x)
Outputs
(* (fmod x (sqrt (cos x))) (exp (neg x)))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
x
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(- 1 (- x (* 1/2 (* x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(- x (* 1/2 (* x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
x
1
#s(literal 1 binary64)
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(fmod (+ x 1) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
(pow (exp (- 0 (* x x))) (/ 1 x))
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(exp (- 0 (* x x)))
(exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(- 0 (* x x))
(*.f64 x (-.f64 #s(literal 0 binary64) x))
0
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

localize310.0ms (2.5%)

Memory
35.1MiB live, 342.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
accuracy99.0%
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
accuracy27.3%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
accuracy27.3%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
accuracy27.3%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy100.0%
(exp.f64 x)
accuracy27.3%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(sqrt.f64 (cos.f64 x))
accuracy100.0%
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy99.9%
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
Samples
149.0ms117×1valid
97.0ms81×2valid
17.0ms55×1exit
1.0ms0valid
Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-fmod: 115.0ms (49.3% of total)
ival-pow: 35.0ms (15% of total)
ival-exp: 19.0ms (8.1% of total)
ival-mult: 16.0ms (6.9% of total)
adjust: 13.0ms (5.6% of total)
ival-cos: 12.0ms (5.1% of total)
ival-div: 7.0ms (3% of total)
ival-sub: 7.0ms (3% of total)
ival-sqrt: 5.0ms (2.1% of total)
ival-add: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-22.8MiB live, 20.0MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* (fmod x (sqrt (cos x))) (exp (neg x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (sqrt (cos x))>
#<alt (cos x)>
#<alt (fmod (exp x) 1)>
#<alt (exp x)>
#<alt (* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x)))))>
#<alt (- 1 (- x (* 1/2 (* x x))))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))>
#<alt (fmod (+ x 1) (sqrt (cos x)))>
#<alt (+ x 1)>
#<alt (* 1/2 (* x x))>
#<alt (pow (exp (- 0 (* x x))) (/ 1 x))>
#<alt (exp (- 0 (* x x)))>
Outputs
#<alt (fmod x (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod x (sqrt (cos x))))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt (fmod x (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt (fmod (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (exp x) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (fmod (exp x) 1)>
#<alt (+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (/ (fmod (exp x) 1) (exp x))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))>
#<alt (+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (+ 1 x) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt (fmod (- 1 (* -1 x)) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))>
#<alt (+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
#<alt (exp (neg (pow x 2)))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* 1/2 (* x x))
2.0ms
x
@0
(* (fmod x (sqrt (cos x))) (exp (neg x)))
1.0ms
x
@inf
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))
1.0ms
x
@-inf
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))
0.0ms
x
@inf
(/ (fmod (exp x) 1) (exp x))

rewrite318.0ms (2.6%)

Memory
-5.0MiB live, 495.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 108×accelerator-lowering-fma.f32
5 108×accelerator-lowering-fma.f64
3 994×*-lowering-*.f32
3 994×*-lowering-*.f64
3 774×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025101
112296
286588
0891586
Stop Event
iter limit
node limit
Counts
15 → 308
Calls
Call 1
Inputs
(* (fmod x (sqrt (cos x))) (exp (neg x)))
(fmod x (sqrt (cos x)))
(sqrt (cos x))
(cos x)
(fmod (exp x) 1)
(exp x)
(* (fmod (exp x) 1) (- 1 (- x (* 1/2 (* x x)))))
(- 1 (- x (* 1/2 (* x x))))
(/ (fmod (exp x) 1) (exp x))
(* (fmod (+ x 1) (sqrt (cos x))) (pow (exp (- 0 (* x x))) (/ 1 x)))
(fmod (+ x 1) (sqrt (cos x)))
(+ x 1)
(* 1/2 (* x x))
(pow (exp (- 0 (* x x))) (/ 1 x))
(exp (- 0 (* x x)))
Outputs
(/.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(*.f64 (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 x (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(+.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))))
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(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) x #s(literal 0 binary64))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) x)
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 x x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) x)
(pow.f64 (exp.f64 x) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x x)))))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (*.f64 x x)) #s(literal -1/2 binary64)))

simplify482.0ms (3.9%)

Memory
4.4MiB live, 717.7MiB allocated
Algorithm
egg-herbie
Rules
16 466×accelerator-lowering-fma.f32
16 466×accelerator-lowering-fma.f64
4 588×*-lowering-*.f32
4 588×*-lowering-*.f64
2 374×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311551
16251408
216461336
346051322
082641247
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(fmod x (sqrt (cos x)))
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x))))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
(fmod x (sqrt (cos x)))
1
(+ 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)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 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)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
(fmod (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(fmod (exp x) 1)
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(/ (fmod (exp x) 1) (exp x))
(fmod (+ 1 x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))
(fmod (+ 1 x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
1
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))
(+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
(exp (neg (pow x 2)))
Outputs
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod x (sqrt (cos x))))) (fmod x (sqrt (cos x))))
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* 1/2 (* x (fmod x (sqrt (cos x))))))) (fmod x (sqrt (cos x))))
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (+ (* -1 (fmod x (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod x (sqrt (cos x))))) (* 1/2 (fmod x (sqrt (cos x)))))))) (fmod x (sqrt (cos x))))
(+.f64 (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (neg x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(* (exp (* -1 x)) (fmod x (sqrt (cos x))))
(/.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(fmod x (sqrt (cos x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/96 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) #s(literal -19/5760 binary64)))))))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (* x (fmod (exp x) 1))))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (+ (* 1/2 (fmod (exp x) 1)) (/ (fmod (exp x) 1) (pow x 2)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x)))
(* 1/2 (* (pow x 2) (fmod (exp x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* -1 (/ (fmod (exp x) 1) x)) (* 1/2 (fmod (exp x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) 1) x)) (fmod (exp x) 1)) x)) (* 1/2 (fmod (exp x) 1))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (* x (- (* 1/2 x) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))))
(fmod (exp x) 1)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1)))) (+ (* -1/2 (fmod (exp x) 1)) (* 1/6 (fmod (exp x) 1)))))) (+ (* -1 (fmod (exp x) 1)) (* 1/2 (fmod (exp x) 1))))) (fmod (exp x) 1))) (fmod (exp x) 1))
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1/6 binary64))))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/ (fmod (exp x) 1) (exp x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 x) (sqrt (cos x))))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (+ 1 x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 x) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 x) (sqrt (cos x)))))))) (fmod (+ 1 x) (sqrt (cos x))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (*.f64 x (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x)))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* -1 (* x (fmod (+ 1 x) (sqrt (cos x))))) (+ (* -1/6 (* (pow x 3) (fmod (+ 1 x) (sqrt (cos x))))) (+ (* 1/2 (* (pow x 2) (fmod (+ 1 x) (sqrt (cos x))))) (fmod (+ 1 x) (sqrt (cos x))))))
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(+ (* -1 (/ (+ (* -1/2 (* (pow x 3) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow x 5) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) (* 1/2 (* (pow x 4) (fmod (- 1 (* -1 x)) (sqrt (cos x)))))) x)) (* (pow x 2) (fmod (- 1 (* -1 x)) (sqrt (cos x))))) x)) (fmod (- 1 (* -1 x)) (sqrt (cos x))))
(+.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) x) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 x) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (- 1 (* -1 x)) (sqrt (cos x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (* 1/2 (pow x 2))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+ 1 (+ (* -1 x) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 (/ (+ (* -1/2 (pow x 3)) (pow x 2)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 5)) (* 1/2 (pow x 4))) x)) (pow x 2)) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) x) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (* (pow x 2) (- (* 1/2 (pow x 2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/6 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(exp (neg (pow x 2)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))

eval74.0ms (0.6%)

Memory
8.4MiB live, 156.7MiB allocated
Compiler

Compiled 13 078 to 1 266 computations (90.3% saved)

prune109.0ms (0.9%)

Memory
-16.5MiB live, 158.4MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New61510625
Fresh6612
Picked415
Done011
Total62518643
Accuracy
65.1%
Counts
643 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.2%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
13.9%
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
42.4%
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
24.8%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
12.1%
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
5.6%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
5.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
5.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x))
5.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
5.4%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
5.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
13.6%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
11.7%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
12.1%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
14.1%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
63.2%
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 480 to 327 computations (31.9% saved)

simplify220.0ms (1.8%)

Memory
15.9MiB live, 208.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(E.f64)
cost-diff0
(pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
cost-diff64
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
cost-diff0
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
cost-diff128
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
cost-diff0
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff-64
(neg.f64 x)
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(fmod.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Rules
3 944×accelerator-lowering-fma.f32
3 944×accelerator-lowering-fma.f64
1 272×*-lowering-*.f32
1 272×*-lowering-*.f64
702×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036252
187252
2178250
3404250
4792250
51826250
63174250
73517250
83559250
93561250
103565250
113715250
123775250
133775250
143775250
153779250
03779222
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (fmod x 1) (exp (neg x)))
(fmod x 1)
x
1
(exp (neg x))
(neg x)
(fmod 1 1)
1
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1)
(+ 1 (* x (+ 1 (* x 1/2))))
1
(* x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(- 1 (- x (* 1/2 (* x x))))
(- x (* 1/2 (* x x)))
(* 1/2 (* x x))
(* x x)
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1)
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
1
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
x
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(exp (neg x))
(neg x)
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))
1
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
(E)
(- x (log (fmod (exp x) (pow (cos x) 1/2))))
x
(log (fmod (exp x) (pow (cos x) 1/2)))
(fmod (exp x) (pow (cos x) 1/2))
(exp x)
(pow (cos x) 1/2)
(cos x)
1/2
Outputs
(* (fmod x 1) (exp (neg x)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(fmod 1 1)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))
(*.f64 (fmod.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1)
(fmod.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x 1/2))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(- 1 (- x (* 1/2 (* x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- x (* 1/2 (* x x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x)))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+ 1 (* x (+ 1/2 (* x 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ 1/2 (* x 1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* x 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
1
#s(literal 1 binary64)
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
(pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(E)
(E.f64)
(- x (log (fmod (exp x) (pow (cos x) 1/2))))
(-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
x
(log (fmod (exp x) (pow (cos x) 1/2)))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod (exp x) (pow (cos x) 1/2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp x)
(exp.f64 x)
(pow (cos x) 1/2)
(sqrt.f64 (cos.f64 x))
(cos x)
(cos.f64 x)
1/2
#s(literal 1/2 binary64)

localize207.0ms (1.7%)

Memory
14.8MiB live, 213.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))
accuracy100.0%
(pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))
accuracy99.8%
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
accuracy3.9%
(E.f64)
accuracy100.0%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.9%
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
accuracy99.9%
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
accuracy100.0%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(fmod.f64 x #s(literal 1 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
accuracy100.0%
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Samples
158.0ms254×1exit
1.0ms0valid
Compiler

Compiled 260 to 38 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-fmod: 48.0ms (37.2% of total)
adjust: 24.0ms (18.6% of total)
ival-mult: 24.0ms (18.6% of total)
ival-add: 5.0ms (3.9% of total)
ival-exp: 4.0ms (3.1% of total)
ival-cos: 4.0ms (3.1% of total)
const: 4.0ms (3.1% of total)
ival-pow: 4.0ms (3.1% of total)
ival-sub: 3.0ms (2.3% of total)
ival-div: 2.0ms (1.6% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-e: 2.0ms (1.6% of total)
ival-log: 2.0ms (1.6% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series172.0ms (1.4%)

Memory
-25.7MiB live, 142.1MiB allocated
Counts
22 → 240
Calls
Call 1
Inputs
#<alt (* (fmod x 1) (exp (neg x)))>
#<alt (fmod x 1)>
#<alt (exp (neg x))>
#<alt (neg x)>
#<alt (fmod 1 1)>
#<alt (* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1)>
#<alt (+ 1 (* x (+ 1 (* x 1/2))))>
#<alt (* x (+ 1 (* x 1/2)))>
#<alt (* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1)>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))>
#<alt (pow (cos x) 1/2)>
#<alt (/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))>
#<alt (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))>
#<alt (E)>
#<alt (* 1/2 (* x x))>
#<alt (* x 1/6)>
#<alt (* x (+ 1/2 (* x 1/6)))>
#<alt (fmod (exp x) (pow (cos x) 1/2))>
#<alt (log (fmod (exp x) (pow (cos x) 1/2)))>
Outputs
#<alt (fmod x 1)>
#<alt (+ (* -1 (* x (fmod x 1))) (fmod x 1))>
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))>
#<alt (+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (neg x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (* (exp (* -1 x)) (fmod x 1))>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt (fmod x 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))>
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))>
#<alt (* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)>
#<alt (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)>
#<alt (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))>
#<alt (+ (* -1 (/ (* x (log (E))) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (log (E)) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (+ (* -1/2 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/6 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))))))) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))>
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))>
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))>
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))>
#<alt (/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))>
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))>
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))>
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))>
#<alt (/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))>
#<alt (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))>
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* 1/2 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2)))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))>
#<alt (+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* x (+ (* 1/6 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 3)))) (* 1/2 (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2))))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))>
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))>
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))>
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))>
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))>
#<alt (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
#<alt (log (fmod (exp x) (sqrt (cos x))))>
Calls

60 calls:

TimeVariablePointExpression
58.0ms
x
@-inf
(log (fmod (exp x) (pow (cos x) 1/2)))
47.0ms
x
@0
(log (fmod (exp x) (pow (cos x) 1/2)))
36.0ms
x
@inf
(log (fmod (exp x) (pow (cos x) 1/2)))
17.0ms
x
@-inf
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))
1.0ms
x
@0
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))

rewrite682.0ms (5.5%)

Memory
15.9MiB live, 557.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 334×accelerator-lowering-fma.f32
4 334×accelerator-lowering-fma.f64
4 240×*-lowering-*.f32
4 240×*-lowering-*.f64
3 242×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036179
1214177
21766177
08412157
Stop Event
iter limit
node limit
Counts
22 → 494
Calls
Call 1
Inputs
(* (fmod x 1) (exp (neg x)))
(fmod x 1)
(exp (neg x))
(neg x)
(fmod 1 1)
(* (fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1) (- 1 (- x (* 1/2 (* x x)))))
(fmod (+ 1 (* x (+ 1 (* x 1/2)))) 1)
(+ 1 (* x (+ 1 (* x 1/2))))
(* x (+ 1 (* x 1/2)))
(* (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1) (exp (neg x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) 1)
(+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6))))))
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(pow (cos x) 1/2)
(/ 1 (pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2))))))
(pow (E) (- x (log (fmod (exp x) (pow (cos x) 1/2)))))
(E)
(* 1/2 (* x x))
(* x 1/6)
(* x (+ 1/2 (* x 1/6)))
(fmod (exp x) (pow (cos x) 1/2))
(log (fmod (exp x) (pow (cos x) 1/2)))
Outputs
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 x #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 x #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (fmod.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2/3 binary64) x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 2/3 binary64) x))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 1/2 binary64)))))
(fmod.f64 x #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(pow.f64 (E.f64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2/3 binary64) x)) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (exp.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (*.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 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(fma.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(fma.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
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(cbrt.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 2/3 binary64)))))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 4/3 binary64))))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (E.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))))
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(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (E.f64) #s(literal 5/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (E.f64) #s(literal 3/2 binary64))) (pow.f64 (E.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (E.f64) (E.f64)) (*.f64 (E.f64) (E.f64))))) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (E.f64) (exp.f64 #s(literal 2/3 binary64)))) (pow.f64 (E.f64) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) x) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) x)
(fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))
(log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))

simplify604.0ms (4.9%)

Memory
8.6MiB live, 821.7MiB allocated
Algorithm
egg-herbie
Rules
13 506×accelerator-lowering-fma.f32
13 506×accelerator-lowering-fma.f64
3 636×*-lowering-*.f32
3 636×*-lowering-*.f64
2 746×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02392646
17562378
219222105
344112077
085351848
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(fmod x 1)
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (neg x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(* (exp (* -1 x)) (fmod x 1))
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
(fmod x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))
(* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) 1)
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
1
(+ 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)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))
(+ (* -1 (/ (* x (log (E))) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (log (E)) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (+ (* -1/2 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/6 (/ (pow (log (E)) 3) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))))))) (+ (* -1 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))))) (* 1/2 (/ (pow (log (E)) 2) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))))) (/ (log (E)) (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))) (/ 1 (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))))
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(/ 1 (exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x))))))))
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))
(/ 1 (exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x))))))
(exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x)))))))
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E)))))
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* 1/2 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2)))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))
(+ (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (* x (+ (* x (+ (* 1/6 (* x (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 3)))) (* 1/2 (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (pow (log (E)) 2))))) (* (exp (* -1 (* (log (E)) (log (fmod (exp x) (sqrt (cos x))))))) (log (E))))))
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* (log (E)) (- x (log (fmod (exp x) (sqrt (cos x)))))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
(log (fmod (exp x) (sqrt (cos x))))
Outputs
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(+ (* -1 (* x (fmod x 1))) (fmod x 1))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod x 1)) (* 1/2 (* x (fmod x 1))))) (fmod x 1))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod x 1)) (* x (+ (* -1/6 (* x (fmod x 1))) (* 1/2 (fmod x 1)))))) (fmod x 1))
(+.f64 (fmod.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (fmod.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (neg x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(* (exp (* -1 x)) (fmod x 1))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
(fmod x 1)
(fmod.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))))) (fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* 1/2 (* (pow x 2) (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)))
(*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) x)))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) x)) (+ (* 1/2 (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)) (/ (fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1) (pow x 2)))))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) x)))
(* 1/2 (* (pow x 2) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)))
(*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
(* (pow x 2) (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1) x)) (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)) x)) (* 1/2 (fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1))))
(+.f64 (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x (/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) x)))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (+ 1 (* 1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (+ x (* 1/2 (pow x 2)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(fmod (+ 1 (* x (- 1 (* -1/2 x)))) 1)
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
x
(* x (+ 1 (* 1/2 x)))
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(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp (* -1 (* (log (E)) (+ (log (fmod (exp x) (sqrt (cos x)))) (* -1 x)))))
(/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log (fmod (exp x) (sqrt (cos x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

eval103.0ms (0.8%)

Memory
-8.0MiB live, 296.7MiB allocated
Compiler

Compiled 19 631 to 2 156 computations (89% saved)

prune94.0ms (0.8%)

Memory
-12.5MiB live, 279.7MiB allocated
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New77413787
Fresh2911
Picked325
Done022
Total77926805
Accuracy
99.5%
Counts
805 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.8%
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
25.2%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
13.9%
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
62.1%
(fmod.f64 x #s(literal 1 binary64))
24.8%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
5.6%
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
5.2%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
5.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (E.f64) x))
5.8%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
5.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
5.4%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
63.2%
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
39.9%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
5.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
5.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))
5.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
5.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
9.0%
(*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
7.4%
(*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
13.6%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
11.7%
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
11.0%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
48.8%
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
50.8%
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
13.5%
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
63.2%
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1 224 to 453 computations (63% saved)

regimes32.0ms (0.3%)

Memory
10.1MiB live, 88.6MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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))) (pow.f64 (E.f64) x))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Calls

2 calls:

14.0ms
x
12.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.1%2x
63.2%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes18.0ms (0.1%)

Memory
7.9MiB live, 48.6MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod.f64 x (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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))) (pow.f64 (E.f64) x))
(/.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (*.f64 (E.f64) (*.f64 (E.f64) (E.f64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (E.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))
Outputs
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
65.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory
-21.2MiB live, 18.2MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))))
(/.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
63.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(fmod.f64 x #s(literal 1 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
62.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
24.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch56.0ms (0.5%)

Memory
11.4MiB live, 131.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
-5.573140139323997e-309
3.6350053006267004e-306
Samples
48.0ms128×2valid
Compiler

Compiled 342 to 212 computations (38% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 19.0ms (45.2% of total)
ival-fmod: 11.0ms (26.2% of total)
adjust: 3.0ms (7.1% of total)
ival-cos: 3.0ms (7.1% of total)
ival-sqrt: 3.0ms (7.1% of total)
ival-mult: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory
-17.1MiB live, 60.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
-2.8813321676098095e-101
-3.8911784104636065e-108
Samples
39.0ms144×1valid
Compiler

Compiled 347 to 228 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sqrt: 13.0ms (40.9% of total)
ival-exp: 7.0ms (22% of total)
ival-fmod: 6.0ms (18.9% of total)
adjust: 2.0ms (6.3% of total)
ival-cos: 2.0ms (6.3% of total)
ival-mult: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
10×*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04090
15690
26190
36490
46590
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)))))))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(if (<=.f64 x #s(literal -7060839510393891/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(/.f64 (fmod.f64 x #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 x #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.8s (14.2%)

Memory
-163.0MiB live, 1 122.7MiB allocated
Rules
19 906×accelerator-lowering-fma.f32
19 906×accelerator-lowering-fma.f64
16 466×accelerator-lowering-fma.f32
16 466×accelerator-lowering-fma.f64
13 506×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036179
1214177
21766177
08412157
01985
17283
229883
3179183
0842783
01491405
14161346
210671261
340671243
085211197
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
02392646
17562378
219222105
344112077
085351848
02311551
16251408
216461336
346051322
082641247
0823
11722
25622
324922
0198722
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 312 to 203 computations (34.9% saved)

preprocess52.0ms (0.4%)

Memory
5.1MiB live, 124.5MiB allocated
Compiler

Compiled 206 to 98 computations (52.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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