expfmod (used to be hard to sample)

Time bar (total: 12.8s)

analyze186.0ms (1.5%)

Memory
-18.5MiB live, 340.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample4.8s (37.1%)

Memory
-42.7MiB live, 4 846.6MiB allocated
Samples
1.6s1 702×5exit
1.2s2 489×2valid
770.0ms3 594×1valid
366.0ms3 318×0invalid
243.0ms2 173×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-cos: 1.3s (36.9% of total)
ival-fmod: 752.0ms (21.7% of total)
ival-exp: 701.0ms (20.2% of total)
ival-sqrt: 249.0ms (7.2% of total)
adjust: 235.0ms (6.8% of total)
ival-mult: 178.0ms (5.1% of total)
ival-neg: 58.0ms (1.7% of total)
ival-true: 10.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

preprocess18.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×egg-herbie
Rules
32×sub-neg
28×div-sub
24×lower-*.f32
22×lower-*.f64
22×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
12921
26821
312221
416821
518821
620521
722421
823121
0810
01510
12210
2329
3389
4439
5499
6569
7629
8639
0639
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

explain204.0ms (1.6%)

Memory
-26.0MiB live, 250.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2030-203(-2.077436755401501e-71)(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(125.07376522035362)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 -
+1247
-08
Precision
1.0
Recall
0.004032258064516129
Confusion?
Predicted +Predicted MaybePredicted -
+10247
-008
Precision?
1.0
Recall?
0.004032258064516129
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms124×2valid
52.0ms258×1valid
27.0ms90×1exit
9.0ms40×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-cos: 34.0ms (28.7% of total)
ival-exp: 29.0ms (24.5% of total)
ival-fmod: 29.0ms (24.5% of total)
adjust: 8.0ms (6.8% of total)
ival-sqrt: 8.0ms (6.8% of total)
ival-mult: 7.0ms (5.9% of total)
ival-neg: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.0%
(*.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)

simplify6.0ms (0%)

Memory
7.2MiB live, 7.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (cos.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
✓cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
24×lower-*.f32
22×lower-*.f64
12×lower-/.f32
12×lower-/.f64
8×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
01529
12229
23228
33828
44328
54928
65628
76228
86328
06328
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize85.0ms (0.7%)

Memory
1.8MiB live, 114.7MiB 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)))
✓accuracy24.6%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
37.0ms62×2valid
28.0ms129×1valid
6.0ms45×1exit
2.0ms20×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-exp: 17.0ms (32.2% of total)
ival-fmod: 13.0ms (24.6% of total)
ival-cos: 11.0ms (20.8% of total)
adjust: 4.0ms (7.6% of total)
ival-sqrt: 4.0ms (7.6% of total)
ival-mult: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 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
-4.8MiB live, 63.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
612×lower-*.f32
610×lower-*.f64
600×lower-/.f64
600×lower-/.f32
252×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
01523
12422
26322
325722
0199222
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 64
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (/.f64 (neg.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 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.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) (sqrt.f64 (cos.f64 x)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (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) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (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 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (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 (fma.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)))

simplify328.0ms (2.6%)

Memory
15.5MiB live, 440.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 324×lower-fma.f64
13 324×lower-fma.f32
3 658×lower-*.f64
3 658×lower-*.f32
2 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval14.0ms (0.1%)

Memory
-13.3MiB live, 27.0MiB allocated
Compiler

Compiled 1 539 to 260 computations (83.1% saved)

prune20.0ms (0.2%)

Memory
7.0MiB live, 45.4MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New11212124
Fresh000
Picked011
Done000
Total11213125
Accuracy
24.6%
Counts
125 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.7%
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
7.0%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
13.0%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶6.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
6.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓7.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶6.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶21.2%
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 381 to 260 computations (31.8% saved)

simplify231.0ms (1.8%)

Memory
-2.4MiB live, 126.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
✓cost-diff0
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(sqrt.f64 (cos.f64 x))
✓cost-diff0
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
✓cost-diff0
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.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-diff0
(*.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-diff0
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
3 536×lower-fma.f32
3 526×lower-fma.f64
1 204×lower-*.f32
1 192×lower-*.f64
616×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028210
055210
199210
2204205
3390205
4484205
5540205
6668205
7988205
81236205
91642205
102127205
112412205
122897205
133176205
143269205
153304205
163308205
173308205
183410205
193450205
203450205
213457205
03457205
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize332.0ms (2.6%)

Memory
-7.4MiB live, 540.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (cos.f64 x))
✓accuracy100.0%
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓accuracy25.2%
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓accuracy25.0%
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sqrt.f64 (cos.f64 x))
✓accuracy100.0%
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓accuracy53.8%
(fmod.f64 #s(literal 1 binary64) (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)))
✓accuracy24.9%
(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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓accuracy25.3%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
104.0ms64×3valid
80.0ms63×2valid
57.0ms76×1valid
24.0ms45×1exit
3.0ms1×5exit
2.0ms7×0valid
Compiler

Compiled 231 to 35 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-fmod: 85.0ms (37.5% of total)
adjust: 34.0ms (15% of total)
ival-mult: 32.0ms (14.1% of total)
ival-cos: 25.0ms (11% of total)
ival-exp: 19.0ms (8.4% of total)
ival-add: 15.0ms (6.6% of total)
const: 9.0ms (4% of total)
ival-sqrt: 5.0ms (2.2% 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)

series13.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))>
#<alt (cos.f64 x)>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
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 1 (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (sqrt (cos x)))>
#<alt (fmod 1 (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 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<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) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))>
#<alt (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 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 (* 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 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* 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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<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)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)
1.0ms
x
@inf
(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (cos x))) (exp (neg x)))
1.0ms
x
@inf
(+ x 1)
1.0ms
x
@-inf
(* (fmod (+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1) (sqrt (cos x))) (exp (neg x)))
1.0ms
x
@inf
(* (fmod (exp x) (+ (* (* x x) (+ (* (* x x) -1/96) -1/4)) 1)) (exp (neg x)))

rewrite341.0ms (2.7%)

Memory
1.5MiB live, 506.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 836×lower-fma.f32
5 826×lower-fma.f64
4 994×lower-*.f32
4 982×lower-*.f64
4 158×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028153
055153
1171148
21151148
08339148
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 343
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(+.f64 x #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (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))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (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))) #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)))))
(-.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 #s(literal 1 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 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (fma.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) (-.f64 (*.f64 x x) x)) (fma.f64 x (*.f64 x x) #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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 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 (fma.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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.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 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 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))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 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)))
(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)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(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))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (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))
(exp.f64 (neg.f64 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))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(*.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(cos.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/96 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/96 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/96 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/96 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/96 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
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(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))

simplify448.0ms (3.5%)

Memory
-18.9MiB live, 548.4MiB allocated
Algorithm
1×egg-herbie
Rules
17 620×lower-fma.f64
17 620×lower-fma.f32
4 960×lower-*.f64
4 960×lower-*.f32
2 836×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02222410
16382190
216802096
340112096
087761888
Stop Event
1×iter limit
1×node limit
Counts
228 → 226
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 1 (sqrt (cos x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (sqrt (cos x)))
(fmod 1 (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 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(* (exp (* -1 x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
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)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* 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)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 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 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.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))))
(fma.f64 x (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) 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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) 1)) (* x (+ (* -1/6 (* x (fmod (exp x) 1))) (* 1/2 (fmod (exp x) 1)))))) (fmod (exp x) 1))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (* -1 x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (* -1 x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (* -1 x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(* (exp (* -1 x)) (fmod (exp x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (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))
(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))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod 1 (sqrt (cos x))))) (fmod 1 (sqrt (cos x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* 1/2 (* x (fmod 1 (sqrt (cos x))))))) (fmod 1 (sqrt (cos x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod 1 (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod 1 (sqrt (cos x))))) (* 1/2 (fmod 1 (sqrt (cos x)))))))) (fmod 1 (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod 1 (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(fmod 1 (sqrt (cos x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 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 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* 1/2 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))) (* x (+ (* -1/6 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (* 1/2 (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(* (exp (neg x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))
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(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
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(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
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(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
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1
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(+ 1 (* -1/4 (pow x 2)))
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(* -1/96 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
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(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))) (* 1/2 (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))))))) (fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(* (exp (* -1 x)) (fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(fmod (+ 1 (* x (+ 1 (* x (- 1/2 (* -1/6 x)))))) (sqrt (cos x)))
(fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval107.0ms (0.8%)

Memory
33.5MiB live, 146.4MiB allocated
Compiler

Compiled 18 622 to 1 884 computations (89.9% saved)

prune113.0ms (0.9%)

Memory
-19.7MiB live, 192.5MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New73822760
Fresh347
Picked145
Done011
Total74231773
Accuracy
58.8%
Counts
773 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.7%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
4.1%
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
6.8%
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
▶6.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
▶39.8%
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
13.0%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
12.9%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
13.5%
(*.f64 (fmod.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
10.4%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.2%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓6.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
3.5%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
1.9%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
▶6.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓7.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.1%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓6.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶21.2%
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
20.8%
(*.f64 (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1 130 to 653 computations (42.2% saved)

simplify148.0ms (1.2%)

Memory
-22.4MiB live, 133.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓cost-diff256
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓cost-diff0
(*.f64 x #s(literal -1/4 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
✓cost-diff0
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
✓cost-diff0
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
2 528×lower-fma.f32
2 518×lower-fma.f64
1 096×lower-*.f32
1 084×lower-*.f64
508×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029199
056199
195199
2187196
3274196
4298196
5318196
6432196
7716196
8944196
91355196
101770196
112162196
122325196
132382196
142396196
152409196
162416196
172416196
182429196
02429196
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x x)
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)
(*.f64 x x)
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
x
#s(literal 1 binary64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize371.0ms (2.9%)

Memory
6.7MiB live, 447.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓accuracy99.6%
(*.f64 x #s(literal 1/24 binary64))
✓accuracy36.0%
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
✓accuracy35.9%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓accuracy63.3%
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 x)
✓accuracy35.9%
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
✓accuracy100.0%
(sqrt.f64 (cos.f64 x))
✓accuracy100.0%
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓accuracy99.8%
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
Samples
81.0ms83×2valid
66.0ms30×5exit
56.0ms79×1valid
55.0ms45×1exit
37.0ms13×3valid
2.0ms6×0valid
Compiler

Compiled 220 to 36 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-exp: 82.0ms (34.1% of total)
ival-fmod: 64.0ms (26.6% of total)
ival-mult: 29.0ms (12.1% of total)
adjust: 28.0ms (11.6% of total)
ival-add: 11.0ms (4.6% of total)
const: 8.0ms (3.3% of total)
ival-sqrt: 8.0ms (3.3% of total)
ival-cos: 5.0ms (2.1% of total)
ival-div: 4.0ms (1.7% 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
17.2MiB live, 17.2MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)>
#<alt (*.f64 x x)>
#<alt (fmod.f64 (exp.f64 x) #s(literal 1 binary64))>
#<alt (exp.f64 x)>
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal -1/4 binary64))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x #s(literal 1/24 binary64))>
Outputs
#<alt (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (* 1/2 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))>
#<alt (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))>
#<alt (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))>
#<alt (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))>
#<alt (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))>
#<alt (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))>
#<alt (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))>
#<alt (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))>
#<alt (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))>
#<alt (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))>
#<alt (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))>
#<alt (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))>
#<alt (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))>
#<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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 1 (+ 1 (* -1/4 (pow x 2))))>
#<alt (+ (* -1 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod 1 (+ 1 (* -1/4 (pow x 2))))))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))>
#<alt (fmod 1 (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod 1 (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod 1 (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod 1 (+ 1 (* -1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt (fmod 1 (- 1 (* 1/4 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 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 (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))>
#<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) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt (* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 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 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 (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (exp (neg x)))
1.0ms
x
@inf
(* (fmod (+ (* (* x x) (+ (* x 1/6) 1/2)) x) (sqrt (cos x))) (exp (neg x)))
1.0ms
x
@inf
(sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))
1.0ms
x
@inf
(* (fmod (exp x) (sqrt (+ (* (* x x) (+ (* x (* x 1/24)) -1/2)) 1))) (exp (neg x)))
1.0ms
x
@-inf
(* (fmod (+ (* (* x x) (+ (* x 1/6) 1/2)) x) (sqrt (cos x))) (exp (neg x)))

rewrite349.0ms (2.7%)

Memory
-11.1MiB live, 624.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 992×lower-fma.f32
9 982×lower-fma.f64
5 594×lower-*.f32
5 582×lower-*.f64
3 502×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029145
056145
1166142
21053142
08545142
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 295
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(*.f64 x x)
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(exp.f64 x)
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (cos.f64 x))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 x #s(literal 1/24 binary64))
Outputs
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x)))
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) x) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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)))
(exp.f64 (neg.f64 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))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(*.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))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify536.0ms (4.2%)

Memory
11.4MiB live, 520.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 320×lower-fma.f64
17 320×lower-fma.f32
5 334×lower-*.f64
5 334×lower-*.f32
2 066×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02172381
16072143
216912063
350022038
082811844
Stop Event
1×iter limit
1×node limit
Counts
228 → 227
Calls
Call 1
Inputs
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(+ (* -1 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (* 1/2 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x))))
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))
(fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))
(fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))
(fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x)))
(fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))
(fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))
(fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))
(fmod (- (* 1/2 (pow x 2)) (+ (* -1 x) (* -1/6 (pow x 3)))) (sqrt (cos x)))
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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 1 (+ 1 (* -1/4 (pow x 2))))
(+ (* -1 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod 1 (+ 1 (* -1/4 (pow x 2))))) (* 1/2 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))
(+ (* x (+ (* -1 (fmod 1 (+ 1 (* -1/4 (pow x 2))))) (* x (+ (* -1/6 (* x (fmod 1 (+ 1 (* -1/4 (pow x 2)))))) (* 1/2 (fmod 1 (+ 1 (* -1/4 (pow x 2))))))))) (fmod 1 (+ 1 (* -1/4 (pow x 2)))))
(* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (neg x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(* (exp (* -1 x)) (fmod 1 (- 1 (* 1/4 (pow x 2)))))
(fmod 1 (+ 1 (* -1/4 (pow x 2))))
(fmod 1 (+ 1 (* -1/4 (pow x 2))))
(fmod 1 (+ 1 (* -1/4 (pow x 2))))
(fmod 1 (+ 1 (* -1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
(fmod 1 (- 1 (* 1/4 (pow x 2))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 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 (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(+ (* -1 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* 1/2 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))) (* 1/2 (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))))) (fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
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) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 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))
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)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
Outputs
(fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))
(fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* 1/2 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))) (* 1/2 (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x)))))))) (fmod (+ x (* (pow x 2) (+ 1/2 (* 1/6 x)))) (sqrt (cos x))))
(fma.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
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(* (exp (neg x)) (fmod (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))) (sqrt (cos x))))
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(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (neg x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fmod (exp x) (sqrt (- (+ 1 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/384 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/384 binary64) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (sqrt 1/24))
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fma.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fma.f64 (*.f64 x x) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (sqrt 1/24))
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (- (+ (sqrt 1/24) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fma.f64 (*.f64 x x) (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(* (pow x 2) (- (+ (sqrt 1/24) (+ (* 1/8 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 6) (pow (sqrt 1/24) 3)))) (* 1/2 (/ (- 1 (* 1/16 (/ 1 (pow (sqrt 1/24) 2)))) (* (pow x 4) (sqrt 1/24)))))) (/ 1/4 (* (pow x 2) (sqrt 1/24)))))
(fma.f64 (*.f64 x x) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval111.0ms (0.9%)

Memory
-1.0MiB live, 122.2MiB allocated
Compiler

Compiled 15 828 to 1 492 computations (90.6% saved)

prune140.0ms (1.1%)

Memory
7.1MiB live, 165.9MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New71315728
Fresh51621
Picked415
Done055
Total72237759
Accuracy
99.3%
Counts
759 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.9%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.5%
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
▶20.8%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
12.9%
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
39.8%
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.8%
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
5.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
5.1%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
39.8%
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
41.4%
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
12.9%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
16.1%
(*.f64 (fmod.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶10.4%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶5.2%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓6.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
▶50.4%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
3.5%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
3.5%
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓6.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓7.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.1%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓6.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
▶20.8%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1 396 to 785 computations (43.8% saved)

simplify269.0ms (2.1%)

Memory
-3.6MiB live, 108.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))
✓cost-diff0
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
✓cost-diff0
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
✓cost-diff0
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
✓cost-diff0
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
✓cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
✓cost-diff320
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
Rules
2 064×lower-fma.f32
2 056×lower-fma.f64
1 158×unsub-neg
1 148×lower-*.f32
1 130×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033227
063219
1110219
2195216
3276216
4333216
5364216
6591216
7737216
8800216
9816216
101026216
111802216
122614216
132759216
142847216
152870216
162872216
172872216
182872216
192880216
02880216
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 x x)
(sqrt.f64 #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
x
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 x x)
(sqrt.f64 #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
x
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize408.0ms (3.2%)

Memory
17.5MiB live, 512.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓accuracy99.8%
(fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓accuracy24.6%
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
✓accuracy32.7%
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
✓accuracy100.0%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
✓accuracy100.0%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
✓accuracy99.7%
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
Samples
157.0ms137×1valid
86.0ms54×2valid
22.0ms45×1exit
21.0ms13×3valid
11.0ms7×0valid
Compiler

Compiled 243 to 39 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-fmod: 92.0ms (35.3% of total)
ival-cos: 42.0ms (16.1% of total)
ival-exp: 36.0ms (13.8% of total)
ival-mult: 34.0ms (13.1% of total)
adjust: 22.0ms (8.4% of total)
const: 13.0ms (5% of total)
ival-add: 8.0ms (3.1% of total)
ival-sqrt: 7.0ms (2.7% of total)
ival-div: 3.0ms (1.2% of total)
ival-sub: 3.0ms (1.2% 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)

series26.0ms (0.2%)

Memory
-19.5MiB live, 19.8MiB allocated
Counts
20 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))>
#<alt (exp.f64 x)>
#<alt (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -1/4 binary64)))>
#<alt (*.f64 x #s(literal -1/4 binary64))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))>
#<alt (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))>
#<alt (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
Outputs
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* 1/2 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (* 1/2 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<alt (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))>
#<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 1 (* -1/4 (pow x 2)))>
#<alt (+ (* -1 (* x (fmod 1 (* -1/4 (pow x 2))))) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod 1 (* -1/4 (pow x 2))))))) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod 1 (* -1/4 (pow x 2))))) (* 1/2 (fmod 1 (* -1/4 (pow x 2)))))))) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (fmod 1 (* -1/4 (pow x 2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (* -1/4 x)>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))>
#<alt (* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))>
#<alt (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))>
#<alt (* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))>
#<alt (* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<alt (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))>
#<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) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1/96 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))) (* 1/2 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))) (* 1/2 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))>
#<alt (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 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))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 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))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1/4 (sqrt 1/24))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (sqrt 1/24))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<alt (* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))>
#<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 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
Calls

54 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
(* (fmod (exp x) (+ (* (* x x) (sqrt 1/24)) (* 1 (/ -1/4 (sqrt 1/24))))) (exp (neg x)))
1.0ms
x
@0
(+ (* (* x x) (sqrt 1/24)) (* 1 (/ -1/4 (sqrt 1/24))))
0.0ms
x
@0
(* (fmod (exp x) (+ (* (* x x) (sqrt 1/24)) (* 1 (/ -1/4 (sqrt 1/24))))) (exp (neg x)))
0.0ms
x
@inf
(+ (* (* x x) (sqrt 1/24)) (* 1 (/ -1/4 (sqrt 1/24))))
0.0ms
x
@inf
(* (fmod (* (* x x) (+ (* x 1/6) 1/2)) (sqrt (cos x))) (exp (neg x)))

rewrite429.0ms (3.3%)

Memory
4.6MiB live, 639.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 002×lower-fma.f32
4 994×lower-fma.f64
4 430×lower-*.f32
4 412×lower-*.f64
3 544×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033174
063166
1183163
21101163
08428163
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 359
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(exp.f64 x)
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(*.f64 x (*.f64 x #s(literal -1/4 binary64)))
(*.f64 x #s(literal -1/4 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 x x)
(fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(neg.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 1/24 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal 4 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) #s(literal 1 binary64))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (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))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -1/4 binary64) x))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(*.f64 (*.f64 #s(literal -1/4 binary64) x) x)
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (neg.f64 x))))))
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2/3 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) #s(literal -4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))))
(*.f64 (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))) (*.f64 (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 x x)))))
(exp.f64 (neg.f64 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))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x))))
(*.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))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
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(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728 binary64)))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))

simplify301.0ms (2.3%)

Memory
29.0MiB live, 663.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 498×lower-fma.f64
10 498×lower-fma.f32
5 198×lower-*.f64
5 198×lower-*.f32
1 554×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562401
14412121
210742064
326152027
457472027
082811864
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(+ (* -1 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* 1/2 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (* 1/2 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
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 1 (* -1/4 (pow x 2)))
(+ (* -1 (* x (fmod 1 (* -1/4 (pow x 2))))) (fmod 1 (* -1/4 (pow x 2))))
(+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod 1 (* -1/4 (pow x 2))))))) (fmod 1 (* -1/4 (pow x 2))))
(+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod 1 (* -1/4 (pow x 2))))) (* 1/2 (fmod 1 (* -1/4 (pow x 2)))))))) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))
(* (exp (* -1 x)) (fmod 1 (* -1/4 (pow x 2))))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(fmod 1 (* -1/4 (pow x 2)))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 (pow x 2))
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(* -1/4 x)
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(+ (* -1 (* x (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))) (fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))))
(* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))
(* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))
(* x (+ (* -1 (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))) (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)))
(* -1 (* x (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
(* -1 (* x (+ (* -1 (/ (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))) x)) (fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2))))))))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
(fmod (exp x) (+ 1 (* -1 (* (pow x 2) (+ 1/4 (* 1/96 (pow x 2)))))))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* -1/96 (pow x 4))
(* -1 (* (pow x 4) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1 (pow x 4)) (+ 1/96 (* 1/4 (/ 1 (pow x 2))))))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(+ (* -1 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))) (* 1/2 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))) (* 1/2 (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))))))) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(* (exp (neg x)) (fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x))))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (+ 1/2 (* 1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 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))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/4 (sqrt 1/24))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (sqrt 1/24))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
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)
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
Outputs
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(+ (* -1 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* 1/2 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))) (* x (+ (* -1/6 (* x (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))) (* 1/2 (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))))))) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(fmod (exp x) (- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24)))))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 1 (* -1/4 (pow x 2)))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ (* -1 (* x (fmod 1 (* -1/4 (pow x 2))))) (fmod 1 (* -1/4 (pow x 2))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* 1/2 (* x (fmod 1 (* -1/4 (pow x 2))))))) (fmod 1 (* -1/4 (pow x 2))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod 1 (* -1/4 (pow x 2)))) (* x (+ (* -1/6 (* x (fmod 1 (* -1/4 (pow x 2))))) (* 1/2 (fmod 1 (* -1/4 (pow x 2)))))))) (fmod 1 (* -1/4 (pow x 2))))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod 1 (* -1/4 (pow x 2))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
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(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(fmod (* (pow x 2) (- 1/2 (* -1/6 x))) (sqrt (cos x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1/4 (sqrt 1/24))
(/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(- (* (pow x 2) (sqrt 1/24)) (* 1/4 (/ 1 (sqrt 1/24))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (sqrt 1/24))
(*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (sqrt 1/24))
(*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
(* (pow x 2) (- (sqrt 1/24) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/24))))))
(fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 x))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval150.0ms (1.2%)

Memory
-4.4MiB live, 182.6MiB allocated
Compiler

Compiled 19 695 to 1 837 computations (90.7% saved)

prune110.0ms (0.9%)

Memory
-26.4MiB live, 268.9MiB allocated
Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New79310803
Fresh52126
Picked325
Done066
Total80139840
Accuracy
99.3%
Counts
840 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
21.9%
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.7%
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
48.4%
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
4.1%
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
✓20.8%
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
12.9%
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
39.8%
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
6.8%
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
5.6%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
5.1%
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
11.6%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
39.8%
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
5.3%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
✓11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
11.6%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.4%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
12.9%
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
6.5%
(*.f64 (fmod.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
16.1%
(*.f64 (fmod.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.3%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
22.7%
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
4.7%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
12.1%
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓5.2%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
✓6.8%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.9%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
5.2%
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
6.5%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
5.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓6.8%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
✓7.0%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
5.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
5.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓6.6%
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
20.8%
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1 799 to 650 computations (63.9% saved)

regimes44.0ms (0.3%)

Memory
17.9MiB live, 56.0MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

2 calls:

27.0ms
x
14.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.9%3x
67.9%2(*.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)

regimes31.0ms (0.2%)

Memory
-8.0MiB live, 30.2MiB allocated
Counts
53 → 4
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
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(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
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(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
98.9%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.1%)

Memory
-7.2MiB live, 30.9MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (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 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/96 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.9%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory
27.8MiB live, 27.8MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
98.9%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.1%)

Memory
-24.5MiB live, 17.2MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
98.9%4x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Memory
20.0MiB live, 19.9MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.0%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.1%)

Memory
-4.7MiB live, 33.6MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Calls

2 calls:

10.0ms
x
7.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
52.7%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
53.7%3x
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes16.0ms (0.1%)

Memory
-9.6MiB live, 26.7MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 x))
Outputs
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
Calls

2 calls:

9.0ms
x
6.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
22.7%1x
22.7%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)

regimes8.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fmod.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fmod.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(fmod.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 (fmod.f64 #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) x))
Outputs
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
x
3.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
21.9%1x
21.9%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)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB 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

2 calls:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
20.8%1x
20.8%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)

bsearch71.0ms (0.5%)

Memory
-3.3MiB live, 114.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
Steps
TimeLeftRight
13.0ms
125.07376522035362
499692139532.4656
53.0ms
-9.212240961055164e-308
6.38891548232542e-308
Samples
49.0ms112×2valid
11.0ms101×0invalid
Compiler

Compiled 273 to 194 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-exp: 22.0ms (42% of total)
ival-fmod: 13.0ms (24.8% of total)
adjust: 6.0ms (11.5% of total)
ival-cos: 6.0ms (11.5% of total)
ival-sqrt: 3.0ms (5.7% of total)
ival-mult: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch62.0ms (0.5%)

Memory
-13.9MiB live, 61.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
125.07376522035362
499692139532.4656
1.0ms
-9.212240961055164e-308
6.38891548232542e-308
22.0ms
-3.3384174340213715e-7
-5.370652725519111e-17
Samples
14.0ms160×0valid
11.0ms101×0invalid
Compiler

Compiled 471 to 319 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 5.0ms (26% of total)
ival-fmod: 5.0ms (26% of total)
ival-cos: 4.0ms (20.8% of total)
ival-sqrt: 2.0ms (10.4% of total)
ival-mult: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.1462661326965921
125.07376522035362
1.0ms
-9.212240961055164e-308
6.38891548232542e-308
1.0ms
-3.3384174340213715e-7
-5.370652725519111e-17
Samples
11.0ms101×0invalid
Compiler

Compiled 478 to 326 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36.1% of total)
ival-exp: 2.0ms (24.1% of total)
ival-sqrt: 1.0ms (12% of total)
ival-fmod: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-15.3MiB live, 26.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
125.07376522035362
499692139532.4656
18.0ms
-9.212240961055164e-308
6.38891548232542e-308
1.0ms
-3.3384174340213715e-7
-5.370652725519111e-17
Samples
11.0ms101×0invalid
Compiler

Compiled 478 to 326 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36.2% of total)
ival-exp: 2.0ms (24.1% of total)
ival-sqrt: 1.0ms (12.1% of total)
ival-fmod: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
-5.5MiB live, 31.7MiB allocated
Algorithm
3×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
15.0ms
125.07376522035362
499692139532.4656
1.0ms
-9.212240961055164e-308
6.38891548232542e-308
1.0ms
-3.3384174340213715e-7
-5.370652725519111e-17
Samples
12.0ms101×0invalid
Compiler

Compiled 363 to 256 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 3.0ms (31.2% of total)
ival-fmod: 3.0ms (31.2% of total)
ival-exp: 2.0ms (20.8% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-failed
1×narrow-enough
Steps
TimeLeftRight
13.0ms
125.07376522035362
499692139532.4656
1.0ms
-9.212240961055164e-308
6.38891548232542e-308
Samples
11.0ms101×0invalid
Compiler

Compiled 238 to 166 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36.4% of total)
ival-exp: 2.0ms (24.3% of total)
ival-sqrt: 1.0ms (12.1% of total)
ival-fmod: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.14069706420962083
1.0
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify30.0ms (0.2%)

Memory
-22.4MiB live, 15.4MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
4×+-commutative_binary64
2×*-lft-identity_binary64
2×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062343
179343
281343
382343
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64)))))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/24 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2271629875608987/40564819207303340847894502572032 binary64)) (/.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x (sqrt.f64 #s(literal 1/24 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/24 binary64))))) (if (<=.f64 x #s(literal 200 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fmod.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness1.7s (13.2%)

Memory
-7.8MiB live, 1 070.3MiB allocated
Rules
17 620×lower-fma.f64
17 620×lower-fma.f32
17 320×lower-fma.f64
17 320×lower-fma.f32
13 324×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01562401
14412121
210742064
326152027
457472027
082811864
02222410
16382190
216802096
340112096
087761888
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
028153
055153
1171148
21151148
08339148
02172381
16072143
216912063
350022038
082811844
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 034 to 552 computations (46.6% saved)

preprocess71.0ms (0.6%)

Memory
33.3MiB live, 189.5MiB allocated
Compiler

Compiled 710 to 138 computations (80.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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