math.cube on real

Time bar (total: 1.3s)

analyze0.0ms (0%)

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

Compiled 7 to 4 computations (42.9% saved)

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

sample600.0ms (46%)

Results
458.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 199.0ms (96% of total)
const: 7.0ms (3.4% of total)
backward-pass: 2.0ms (1% of total)
Bogosity

preprocess42.0ms (3.2%)

Algorithm
egg-herbie
Rules
32×fma-define
15×associate-*r*
12×fmm-def
distribute-lft-neg-in
unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01292
13044
26644
314344
418244
521644
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))
Outputs
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
Symmetry

(negabs x)

explain84.0ms (6.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x x) x)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
59.0ms512×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 47.0ms (99% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal 3 binary64))
99.9%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 10 to 6 computations (40% saved)

simplify31.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff-6208
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
Rules
cube-mult
unpow3
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
11042
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

localize79.0ms (6.1%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 x #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 (*.f64 x x) x)
Results
72.0ms256×0valid
Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 59.0ms (92.2% of total)
ival-pow: 4.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0.2%)

Counts
3 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 x x) x)>
#<alt (pow.f64 x #s(literal 3 binary64))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (* x x) x)
0.0ms
x
@0
(* x x)
0.0ms
x
@inf
(* x x)
0.0ms
x
@0
(* (* x x) x)
0.0ms
x
@inf
(* (* x x) x)

rewrite294.0ms (22.5%)

Algorithm
batch-egg-rewrite
Rules
1001×log1p-expm1-u
306×associate-*r*
231×associate-*l*
226×unpow-prod-down
198×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
17630
267530
3648530
Stop Event
node limit
Counts
3 → 110
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
Outputs
(+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #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 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #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 x #s(literal 3 binary64)) #s(literal 2/3 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 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 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 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.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 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.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 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))

simplify76.0ms (5.9%)

Algorithm
egg-herbie
Rules
566×associate-+l-
523×associate-+r-
449×associate--r+
387×fmm-def
308×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02214294969829
13844294969819
28724294969787
335714294969761
Stop Event
node limit
Counts
134 → 117
Calls
Call 1
Inputs
(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 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(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)) #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 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #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 x #s(literal 3 binary64)) #s(literal 2/3 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 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 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 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 9 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.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 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.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 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
Outputs
(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 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(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)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 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 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #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 x #s(literal 3 binary64)) #s(literal 2/3 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))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 x) #s(literal 2 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 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.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 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(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)))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 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 (log.f64 x) #s(literal 2 binary64)))
(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 (log.f64 x) #s(literal 6 binary64)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
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(pow.f64 x #s(literal 3 binary64))
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(pow.f64 x #s(literal 3 binary64))
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(pow.f64 x #s(literal 3 binary64))
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(-.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 x (pow.f64 x #s(literal 2 binary64)))
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(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)) x)
(*.f64 x (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 15/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 15/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 9/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 x) (fabs.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 8 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.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)) #s(literal 1 binary64)))
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(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 3 binary64))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(pow.f64 x #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal 3 binary64))

eval14.0ms (1%)

Compiler

Compiled 1205 to 309 computations (74.4% saved)

prune14.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh000
Picked022
Done000
Total1172119
Accuracy
100.0%
Counts
119 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 x #s(literal 3 binary64))
99.9%
(*.f64 (*.f64 x x) x)
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes3.0ms (0.2%)

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

2 calls:

2.0ms
x
1.0ms
(*.f64 (*.f64 x x) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 8 to 4 computations (50% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 (*.f64 x x) x)
Calls

2 calls:

2.0ms
x
1.0ms
(*.f64 (*.f64 x x) x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 (*.f64 x x) x)
Compiler

Compiled 8 to 4 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
11032
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) x)
Outputs
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))

soundness28.0ms (2.1%)

Rules
32×fma-define
15×associate-*r*
12×fmm-def
distribute-lft-neg-in
unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01292
13044
26644
314344
418244
521644
Stop Event
done
saturated
Compiler

Compiled 18 to 10 computations (44.4% saved)

preprocess30.0ms (2.3%)

Remove

(negabs x)

Compiler

Compiled 62 to 40 computations (35.5% saved)

end0.0ms (0%)

Profiling

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