Hyperbolic sine

Time bar (total: 7.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 8 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample1.8s (24.8%)

Results
985.0ms4085×1valid
494.0ms4171×0valid
Precisions
Click to see histograms. Total time spent on operations: 901.0ms
ival-exp: 599.0ms (66.5% of total)
ival-div: 100.0ms (11.1% of total)
ival-sub: 76.0ms (8.4% of total)
ival-neg: 62.0ms (6.9% of total)
backward-pass: 54.0ms (6% of total)
const: 11.0ms (1.2% of total)
Bogosity

preprocess61.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
96×fma-define
95×fma-neg
27×sub-neg
23×distribute-neg-frac
20×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
017124
145124
298124
3199124
4413116
5621116
6695116
7696116
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(fma.f64 (exp.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
Symmetry

(negabs x)

explain176.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Results
126.0ms262×1valid
18.0ms250×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-exp: 93.0ms (81.3% of total)
ival-div: 7.0ms (6.1% of total)
ival-sub: 5.0ms (4.4% of total)
backward-pass: 5.0ms (4.4% of total)
ival-neg: 4.0ms (3.5% of total)
const: 1.0ms (0.9% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify31.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Rules
119×fma-neg
62×fma-define
26×div-sub
22×sub-neg
18×*-commutative
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01289
12389
24389
37289
411989
518789
627689
742187
854187
958787
1059287
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize55.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy51.8%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
33.0ms131×1valid
9.0ms125×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 19.0ms (67.1% of total)
ival-div: 3.0ms (10.6% of total)
ival-neg: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
backward-pass: 2.0ms (7.1% of total)
const: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
4 → 32
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
#<alt (exp.f64 x)>
#<alt (exp.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (exp x) (exp (neg x)))
0.0ms
x
@inf
(neg x)
0.0ms
x
@-inf
(- (exp x) (exp (neg x)))
0.0ms
x
@0
(exp (neg x))
0.0ms
x
@inf
(- (exp x) (exp (neg x)))

rewrite345.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
51×add-exp-log
51×add-log-exp
51×log1p-expm1-u
51×expm1-log1p-u
49×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
111844
2187644
Stop Event
1×unsound
Counts
4 → 30
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify136.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
867×fma-define
627×distribute-lft-neg-out
605×unsub-neg
430×distribute-rgt-neg-out
382×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067612
1169552
2425552
31167552
42336552
52724552
63172552
74456552
85061552
95767552
Stop Event
1×node limit
Counts
62 → 53
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval6.0ms (0.1%)

Compiler

Compiled 592 to 210 computations (64.5% saved)

prune62.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New44953
Fresh000
Picked011
Done000
Total441054
Accuracy
100.0%
Counts
54 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
51.5%
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
▶28.0%
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
✓51.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶4.3%
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
54.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶4.3%
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
4.3%
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶3.5%
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
Compiler

Compiled 171 to 133 computations (22.2% saved)

simplify120.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓cost-diff-6272
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(exp.f64 x)
cost-diff0
(neg.f64 x)
cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
✓cost-diff64
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓cost-diff128
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
✓cost-diff256
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
Rules
758×fma-define
490×fma-neg
421×div-sub
359×unsub-neg
314×sub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032367
172339
2136335
3276335
4633327
51877319
64604319
76000319
87265319
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 8 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
#s(literal 9 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
#s(literal 9 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
#s(literal 2 binary64)
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x)))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))))
(-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)

localize219.0ms (3.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓accuracy33.1%
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
102.0ms125×0valid
78.0ms131×1valid
Compiler

Compiled 126 to 27 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-neg: 72.0ms (52.9% of total)
ival-mult: 16.0ms (11.8% of total)
ival-div: 13.0ms (9.6% of total)
ival-exp: 7.0ms (5.1% of total)
backward-pass: 7.0ms (5.1% of total)
ival-sub: 6.0ms (4.4% of total)
ival-pow: 5.0ms (3.7% of total)
...c/correct-round.rkt:121:19: 4.0ms (2.9% of total)
ival-add: 4.0ms (2.9% of total)
const: 1.0ms (0.7% of total)

series24.0ms (0.3%)

Counts
13 → 80
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 8 binary64) #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 4 binary64)>
#<alt (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) x))))>
#<alt (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/4 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 8 binary64)>
#<alt (+.f64 #s(literal 8 binary64) x)>
#<alt (+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))>
#<alt (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) x)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@0
(* 1/3 (pow x 2))
1.0ms
x
@0
(/ (* x (+ 2 (* 1/3 (pow x 2)))) 2)
1.0ms
x
@inf
(* 1/3 (pow x 2))
1.0ms
x
@inf
(/ (* x (+ 2 (* 1/3 (pow x 2)))) 2)
0.0ms
x
@inf
(/ (- 9 (exp (neg x))) 2)

rewrite208.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1253×log1p-expm1-u
188×expm1-log1p-u
183×add-exp-log
183×add-log-exp
179×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031243
1422217
26100217
Stop Event
1×node limit
Counts
13 → 305
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64))) x) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
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(log1p.f64 (expm1.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))

simplify231.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
529×fma-neg
378×associate-*r*
328×associate-*l*
275×fma-define
274×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072313607
1164512269
2555710596
Stop Event
1×node limit
Counts
385 → 452
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 4 binary64)
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 8 binary64)
(+.f64 #s(literal 8 binary64) x)
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) x)))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
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(pow.f64 (cbrt.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal 4 binary64)
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 4 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/4 binary64))))))
(+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/4 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))))
#s(literal 8 binary64)
(+.f64 #s(literal 8 binary64) x)
(+.f64 x #s(literal 8 binary64))
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 8 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 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 8 binary64))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
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(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (expm1.f64 x))))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(+.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (expm1.f64 x)) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x))
(exp.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))))
(+.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (expm1.f64 x)) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (expm1.f64 x)) (+.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (expm1.f64 x))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (expm1.f64 x))

eval64.0ms (0.9%)

Compiler

Compiled 7467 to 1817 computations (75.7% saved)

prune94.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4746480
Fresh224
Picked505
Done011
Total4819490
Accuracy
100.0%
Counts
490 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
▶51.5%
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
✓51.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.5%
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
▶87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
▶54.7%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
▶38.7%
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
54.4%
x
▶4.3%
#s(literal 4 binary64)
Compiler

Compiled 133 to 99 computations (25.6% saved)

simplify74.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(exp.f64 x)
✓cost-diff0
(pow.f64 x #s(literal 3 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff256
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓cost-diff-6080
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
Rules
512×unsub-neg
441×cancel-sign-sub-inv
389×sub-neg
370×associate-*r*
356×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032477
178415
2162415
3579407
42537407
56610407
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 4 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x)
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 4 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
x
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (expm1.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (expm1.f64 x))
(exp.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))
#s(literal 1 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.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))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 2 binary64)

localize167.0ms (2.4%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) x)
✓accuracy51.8%
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
✓accuracy100.0%
(pow.f64 x #s(literal 3 binary64))
✓accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
✓accuracy99.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
Results
80.0ms131×1valid
38.0ms125×0valid
Compiler

Compiled 151 to 28 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 24.0ms (31.3% of total)
...c/correct-round.rkt:121:19: 12.0ms (15.7% of total)
backward-pass: 9.0ms (11.7% of total)
ival-div: 8.0ms (10.4% of total)
ival-pow: 7.0ms (9.1% of total)
ival-exp: 6.0ms (7.8% of total)
ival-add: 6.0ms (7.8% of total)
ival-sub: 4.0ms (5.2% of total)
const: 1.0ms (1.3% of total)

series21.0ms (0.3%)

Counts
14 → 124
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))>
#<alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))>
#<alt (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))>
#<alt (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt #s(literal 1/2 binary64)>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/120 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (* x 2) 2)
1.0ms
x
@-inf
(* x (+ 1/2 (* -1/6 x)))
0.0ms
x
@0
(* 1/6 (pow x 3))
0.0ms
x
@inf
(* x (+ 1/2 (* -1/6 x)))
0.0ms
x
@inf
(- (exp x) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))

rewrite239.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
991×log1p-expm1-u
207×expm1-log1p-u
202×associate-*r*
200×add-exp-log
196×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030304
1469264
26552264
Stop Event
1×node limit
Counts
14 → 359
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) #s(literal -2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))
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(*.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.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)) (+.f64 (exp.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)))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.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)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.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)))) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.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)) (+.f64 (exp.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))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.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))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.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)) (+.f64 (exp.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))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64))) (+.f64 (exp.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))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.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)) (+.f64 (exp.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.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)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.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))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.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))) (neg.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)))) (*.f64 (exp.f64 x) (neg.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)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (neg.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))) (neg.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))))) (-.f64 (exp.f64 x) (neg.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)))))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (-.f64 (expm1.f64 x) (*.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))
(pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (expm1.f64 x) (*.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 #s(literal 1 binary64) (exp.f64 x) (neg.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 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (neg.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 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.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))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(-.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)) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.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)))

simplify266.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
801×fma-neg
297×fma-define
284×exp-prod
283×associate-/r*
278×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083414230
1186913668
2608113612
Stop Event
1×node limit
Counts
483 → 537
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.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)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.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)) (+.f64 (exp.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)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.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)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.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))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.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))) (neg.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)))) (*.f64 (exp.f64 x) (neg.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)))))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (neg.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))) (neg.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))))) (-.f64 (exp.f64 x) (neg.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)))))
(/.f64 (-.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (-.f64 (expm1.f64 x) (*.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))
(pow.f64 (cbrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (-.f64 (expm1.f64 x) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (expm1.f64 x) (*.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 #s(literal 1 binary64) (exp.f64 x) (neg.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 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 x)) (neg.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 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.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))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) x) (*.f64 #s(literal -1 binary64) x))
(-.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)) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(pow.f64 (*.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))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.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
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
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(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 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)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.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 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(+.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)) #s(literal -1 binary64))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))

eval303.0ms (4.3%)

Compiler

Compiled 10170 to 2441 computations (76% saved)

prune68.0ms (1%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5475552
Fresh033
Picked145
Done011
Total54813561
Accuracy
100.0%
Counts
561 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
▶51.4%
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓51.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.5%
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
▶90.9%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
▶87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
✓87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
✓54.7%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
✓38.7%
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
38.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) x))
▶54.4%
x
✓4.3%
#s(literal 4 binary64)
Compiler

Compiled 241 to 168 computations (30.3% saved)

simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(exp.f64 x)
✓cost-diff128
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓cost-diff128
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓cost-diff-6272
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
✓cost-diff-6272
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
✓cost-diff0
(*.f64 x #s(literal 1/6 binary64))
✓cost-diff-12480
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
✓cost-diff-6208
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓cost-diff-6208
(*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff-6272
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓cost-diff-6272
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))
✓cost-diff0
(*.f64 x #s(literal 1/24 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
Rules
884×fma-neg
526×fma-define
335×sub-neg
323×associate--r-
299×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044983
1132791
2373765
31051765
43416765
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))))
x
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))
#s(literal 1/3 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
x
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
x
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(*.f64 x (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))) #s(literal 2 binary64))
(*.f64 x (/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(-.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 (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 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(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))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 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))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))
(+.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))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (+.f64 x (expm1.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x (expm1.f64 x))
(exp.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 2 binary64)

localize306.0ms (4.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(exp.f64 x)
✓accuracy51.8%
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) x)
✓accuracy51.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
✓accuracy99.8%
(*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
✓accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))))
✓accuracy99.8%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
Results
184.0ms131×1valid
57.0ms125×0valid
Compiler

Compiled 298 to 40 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 27.0ms (24.1% of total)
ival-div: 18.0ms (16.1% of total)
...c/correct-round.rkt:121:19: 18.0ms (16.1% of total)
ival-add: 15.0ms (13.4% of total)
backward-pass: 11.0ms (9.8% of total)
ival-sub: 9.0ms (8% of total)
ival-pow: 7.0ms (6.2% of total)
ival-exp: 6.0ms (5.4% of total)
const: 1.0ms (0.9% of total)

series27.0ms (0.4%)

Counts
17 → 192
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))>
#<alt (/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))>
#<alt (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))>
Outputs
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/3 binary64)>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/24 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))>
#<alt x>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ x (/ 1 x))
2.0ms
x
@-inf
(* x (+ 2 (* (pow x 2) (+ 1/3 (* x 1/24)))))
1.0ms
x
@-inf
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms
x
@0
(- (+ 1 (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))) (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
0.0ms
x
@inf
(* x (+ 2 (* (pow x 2) (+ 1/3 (* x 1/24)))))

rewrite222.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
387×log1p-expm1-u
387×expm1-log1p-u
366×add-exp-log
366×add-cube-cbrt
364×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042480
1811363
Stop Event
1×node limit
Counts
17 → 319
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/24 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/24 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
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(+.f64 (fma.f64 #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)) (neg.f64 (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.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)))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.f64 (*.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)) #s(literal 1 binary64)))) (fma.f64 (neg.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))) #s(literal 1 binary64) (*.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)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.f64 (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.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)))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.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 (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))) (neg.f64 (*.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)) #s(literal 1 binary64)))) (fma.f64 (neg.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))) #s(literal 1 binary64) (*.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)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.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 (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))) (neg.f64 (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.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)))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.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)) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64))) (+.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 (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 (-.f64 (pow.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)) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (+.f64 (pow.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)) #s(literal 2 binary64)) (+.f64 (pow.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)) #s(literal 2 binary64)) (*.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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.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))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.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 #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)) (neg.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 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.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 (sqrt.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 (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))) (neg.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))))

simplify433.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
574×times-frac
333×associate-*r*
315×exp-prod
312×fma-neg
307×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075912258
1163111802
2506111629
Stop Event
1×node limit
Counts
511 → 459
Calls
Call 1
Inputs
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
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(+.f64 (fma.f64 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.f64 (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.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)))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.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 (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))) (neg.f64 (*.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)) #s(literal 1 binary64)))) (fma.f64 (neg.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))) #s(literal 1 binary64) (*.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)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.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 (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))) (neg.f64 (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.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)))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (*.f64 (cbrt.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))) (pow.f64 (cbrt.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))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.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)) #s(literal 2 binary64)) (pow.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)) #s(literal 2 binary64))) (+.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 (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 (-.f64 (pow.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)) #s(literal 3 binary64)) (pow.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)) #s(literal 3 binary64))) (+.f64 (pow.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)) #s(literal 2 binary64)) (+.f64 (pow.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)) #s(literal 2 binary64)) (*.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 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))))
(pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.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))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.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 #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)) (neg.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 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.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 (sqrt.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 (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))) (neg.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))))
Outputs
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/24 binary64) x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.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 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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 #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)) (neg.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))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 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))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.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))) #s(literal 2 binary64)) (cbrt.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))) (neg.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))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 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))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) #s(literal -1 binary64)))
(fma.f64 (sqrt.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 (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))) (neg.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))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 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))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))))))
(+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) #s(literal -1 binary64)))

eval70.0ms (1%)

Compiler

Compiled 9748 to 2342 computations (76% saved)

prune66.0ms (0.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5027509
Fresh213
Picked415
Done145
Total50913522
Accuracy
100.0%
Counts
522 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.8%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
51.1%
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
5.5%
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
90.9%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
76.3%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓87.2%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
✓54.7%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
90.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
86.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
76.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
✓54.4%
x
✓4.3%
#s(literal 4 binary64)
Compiler

Compiled 386 to 207 computations (46.4% saved)

regimes26.0ms (0.4%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Calls

3 calls:

10.0ms
x
7.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 #s(literal 9 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
90.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
90.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
87.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes41.0ms (0.6%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
Calls

1 calls:

40.0ms
x
Results
AccuracySegmentsBranch
86.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
76.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
76.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
54.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
Outputs
x
Calls

1 calls:

45.0ms
x
Results
AccuracySegmentsBranch
54.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 4 binary64)
Outputs
#s(literal 4 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
4.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0296781693952539e-7
11.980957015832702
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.4902133193106892
96.33556320185215
Results
7.0ms112×0valid
Compiler

Compiled 188 to 143 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.8% of total)
ival-sub: 1.0ms (23.9% of total)
ival-div: 1.0ms (23.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative
16×+-commutative
8×unsub-neg
8×neg-mul-1
5×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063458
1102458
2110458
3118458
4130458
5147458
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
x
#s(literal 4 binary64)
Outputs
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 944473296573929/4722366482869645213696 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64)) (/.f64 (+.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 x #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
x
#s(literal 4 binary64)

soundness921.0ms (13%)

Rules
1253×log1p-expm1-u
867×fma-define
801×fma-neg
627×distribute-lft-neg-out
605×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075912258
1163111802
2506111629
083414230
1186913668
2608113612
01044
111844
2187644
067612
1169552
2425552
31167552
42336552
52724552
63172552
74456552
85061552
95767552
031243
1422217
26100217
Stop Event
1×fuel
1×node limit
1×node limit
1×unsound
1×node limit
1×node limit
Compiler

Compiled 299 to 155 computations (48.2% saved)

preprocess64.0ms (0.9%)

Compiler

Compiled 508 to 254 computations (50% saved)

end0.0ms (0%)

Profiling

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