x / (x^2 + 1)

Time bar (total: 4.3s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

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

sample559.0ms (13%)

Results
379.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 95.0ms (43.8% of total)
ival-div: 62.0ms (28.6% of total)
ival-add: 46.0ms (21.2% of total)
const: 11.0ms (5.1% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess69.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
123×fma-define
29×fma-neg
23×associate-*l*
21×times-frac
15×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
139100
275100
3149100
4271100
5410100
6501100
7503100
8515100
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Symmetry

(negabs x)

explain50.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-x
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-#s(literal 1 binary64)
Results
28.0ms512×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.9% of total)
ival-div: 4.0ms (33.5% of total)
ival-add: 3.0ms (25.1% of total)
const: 1.0ms (8.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize28.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓cost-diff-6272
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓accuracy77.4%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Rules
3×1-exp
1×fma-define
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0957
11857
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Results
15.0ms256×0valid
Compiler

Compiled 19 to 6 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.7% of total)
ival-mult: 2.0ms (33.7% of total)
ival-add: 1.0ms (16.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (+.f64 (*.f64 x x) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 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))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ x (+ (* x x) 1))
0.0ms
x
@-inf
(/ x (+ (* x x) 1))
0.0ms
x
@0
(/ x (+ (* x x) 1))
0.0ms
x
@inf
(+ (* x x) 1)
0.0ms
x
@0
(+ (* x x) 1)

rewrite204.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
500×log1p-expm1-u
500×expm1-log1p-u
459×unpow-prod-down
435×pow1
295×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
111049
2143249
Stop Event
1×node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))

simplify188.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
850×times-frac
416×fma-define
393×associate-/r*
305×prod-exp
254×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03994294972969
18184294972832
219354294972619
378794294972619
Stop Event
1×node limit
Counts
188 → 221
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
#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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 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))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 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 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 x (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
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(fma.f64 x x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 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 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))

eval26.0ms (0.6%)

Compiler

Compiled 2919 to 637 computations (78.2% saved)

prune35.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2165221
Fresh000
Picked011
Done000
Total2166222
Accuracy
100.0%
Counts
222 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.3%
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
✓77.4%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶51.4%
(/.f64 #s(literal 1 binary64) x)
▶50.4%
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
▶50.2%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
▶51.5%
x
Compiler

Compiled 70 to 49 computations (30% saved)

localize300.0ms (6.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 x #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
✓cost-diff0
(pow.f64 x #s(literal 3 binary64))
✓cost-diff0
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff6400
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓cost-diff6464
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
✓accuracy100.0%
(pow.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(pow.f64 x #s(literal 3 binary64))
✓accuracy100.0%
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy99.8%
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
✓accuracy77.5%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
Rules
569×fma-neg
557×fma-define
444×times-frac
323×sub-neg
290×div-sub
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
017202
131202
249202
373196
4103196
5231196
6509196
7766196
81460196
92676196
104357191
115580191
126580191
137174191
147563191
Stop Event
1×node limit
Calls
Call 1
Inputs
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Results
114.0ms256×0valid
Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 69.0ms (81.7% of total)
ival-pow: 8.0ms (9.5% of total)
ival-fma: 4.0ms (4.7% of total)
ival-sub: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
8 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)>
#<alt (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 x (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(- x (pow x 3))
0.0ms
x
@inf
(/ (+ (* x x) 1) x)
0.0ms
x
@-inf
(pow x 3)
0.0ms
x
@-inf
(/ (+ (* x x) 1) x)
0.0ms
x
@inf
(- x (pow x 3))

rewrite151.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
801×log1p-expm1-u
801×expm1-log1p-u
539×fma-define
289×fma-neg
189×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017155
1244143
23561143
Stop Event
1×node limit
Counts
8 → 322
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (/.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(exp.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(/.f64 (/.f64 x (hypot.f64 #s(literal 1 binary64) x)) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.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 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x x #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(+.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (-.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))) (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (exp.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))

simplify159.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
446×fma-neg
340×distribute-lft-neg-in
301×distribute-rgt-neg-in
262×exp-prod
260×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065710238
114279485
245099481
Stop Event
1×node limit
Counts
382 → 397
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
#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 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 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 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 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #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 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #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 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (/.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(exp.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 x #s(literal 3 binary64)))) (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x x)
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) x))
(/.f64 (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) x) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))) (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (exp.f64 (/.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (/.f64 x (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (/.f64 x (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (/.f64 x (pow.f64 x #s(literal 2 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (/.f64 x (pow.f64 x #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64)))

eval53.0ms (1.2%)

Compiler

Compiled 5506 to 986 computations (82.1% saved)

prune118.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4432445
Fresh000
Picked235
Done011
Total4456451
Accuracy
100.0%
Counts
451 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
▶77.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
✓51.4%
(/.f64 #s(literal 1 binary64) x)
▶50.2%
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓50.4%
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓51.5%
x
Compiler

Compiled 37 to 24 computations (35.1% saved)

localize171.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff6400
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓cost-diff0
(pow.f64 x #s(literal -3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
accuracy100.0%
(fma.f64 x x #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy77.5%
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
✓accuracy100.0%
(pow.f64 x #s(literal -3 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
Rules
1746×fma-neg
803×div-sub
549×cube-prod
294×fma-define
292×distribute-lft-neg-in
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
014125
126125
234119
345119
468119
594119
6151119
7206119
8409119
9847114
101345114
111861114
123470114
134418114
145705114
156575114
167992114
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal 1 binary64))
x
Results
30.0ms256×0valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (33.1% of total)
ival-pow: 5.0ms (33.1% of total)
ival-fma: 3.0ms (19.8% of total)
ival-sub: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.6%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))>
#<alt (pow.f64 x #s(literal -3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))>
Outputs
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))>
Calls

9 calls:

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

rewrite130.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
852×log1p-expm1-u
852×expm1-log1p-u
510×prod-diff
434×log-prod
207×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01465
118659
2254259
Stop Event
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify565.0ms (13.1%)

Algorithm
1×egg-herbie
Rules
730×times-frac
448×associate-+r+
403×fma-neg
309×distribute-lft-in
267×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051511835
111689836
232817602
Stop Event
1×node limit
Counts
252 → 309
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64))) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)))))
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(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) (+.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -2 binary64))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log.f64 x)) #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

eval92.0ms (2.1%)

Compiler

Compiled 7394 to 1016 computations (86.3% saved)

prune249.0ms (5.8%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4210421
Fresh000
Picked022
Done044
Total4216427
Accuracy
100.0%
Counts
427 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓77.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
✓51.4%
(/.f64 #s(literal 1 binary64) x)
✓50.2%
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
✓50.4%
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
✓51.5%
x
Compiler

Compiled 86 to 43 computations (50% saved)

regimes7.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
51.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch2.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
1.0ms
3552.1210531008346
36208635.85538624
Results
1.0ms16×0valid
Compiler

Compiled 30 to 21 computations (30% saved)

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

bsearch10.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
36208635.85538624
9040590995.639292
Results
6.0ms112×0valid
Compiler

Compiled 110 to 78 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (39.1% of total)
ival-add: 1.0ms (39.1% of total)
ival-mult: 1.0ms (39.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.7930192950559911
3552.1210531008346
Results
6.0ms128×0valid
Compiler

Compiled 76 to 56 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (35.3% of total)
ival-add: 1.0ms (35.3% of total)
ival-mult: 1.0ms (35.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×1-exp
3×+-commutative
2×sub-neg
1×*-commutative
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
133145
237145
339145
440145
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 5000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

soundness1.1s (24.3%)

Rules
850×times-frac
801×log1p-expm1-u
801×expm1-log1p-u
539×fma-define
446×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065710238
114279485
245099481
017155
1244143
23561143
03994294972969
18184294972832
219354294972619
378794294972619
Stop Event
1×done
1×node limit
1×node limit
1×node limit
Compiler

Compiled 257 to 88 computations (65.8% saved)

preprocess41.0ms (0.9%)

Compiler

Compiled 192 to 102 computations (46.9% saved)

end0.0ms (0%)

Profiling

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