Hyperbolic sine

Time bar (total: 5.1s)

analyze0.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.8s (35.7%)

Results
444.0ms4025×256infinite
839.0ms2070×1024valid
227.0ms1022×512valid
129.0ms986×256valid
61.0ms152×2048valid
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 967.0ms
Operation ival-exp, time spent: 610.0ms, 63.0% of total-time
Operation ival-div, time spent: 132.0ms, 14.0% of total-time
Operation ival-sub, time spent: 112.0ms, 12.0% of total-time
Operation ival-neg, time spent: 88.0ms, 9.0% of total-time
Operation const, time spent: 26.0ms, 3.0% of total-time
Bogosity

preprocess213.0ms (4.2%)

Algorithm
1×egg-herbie
Rules
96×fma-define
95×fmm-def
27×sub-neg
23×distribute-neg-frac
19×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Iterations

Useful iterations: 4 (0.0ms)

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

(negabs x)

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
Operation ival-exp, time spent: 46.0ms, 71.0% of total-time
Operation ival-div, time spent: 7.0ms, 11.0% of total-time
Operation ival-sub, time spent: 5.0ms, 8.0% of total-time
Operation ival-neg, time spent: 5.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize71.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓51.5%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
Operation ival-exp, time spent: 19.0ms, 56.0% of total-time
Operation ival-sub, time spent: 8.0ms, 24.0% of total-time
Operation ival-div, time spent: 4.0ms, 12.0% of total-time
Operation ival-neg, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series1.0ms (0%)

Counts
1 → 8
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
Calls

3 calls:

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

rewrite160.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
111814
2187614
Stop Event
1×unsound
Counts
1 → 8
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify79.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1068×fma-define
330×distribute-lft-in
137×distribute-rgt-in
116×associate-*r*
75×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039274
192250
2253250
3670250
41208250
51593250
61752250
71973250
82238250
92254250
102254250
112455250
Stop Event
1×saturated
Counts
16 → 24
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/60 binary64) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval7.0ms (0.1%)

Compiler

Compiled 263 to 216 computations (17.9% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725
Accuracy
100.0%
Counts
25 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.1%
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
86.1%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
▶55.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶4.3%
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
▶4.3%
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶3.7%
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
Compiler

Compiled 91 to 79 computations (13.2% saved)

localize138.0ms (2.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓100.0%
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
✓99.8%
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
Compiler

Compiled 57 to 47 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
Operation ival-pow, time spent: 26.0ms, 39.0% of total-time
Operation ival-mult, time spent: 16.0ms, 24.0% of total-time
Operation composed, time spent: 9.0ms, 13.0% of total-time
Operation ival-div, time spent: 9.0ms, 13.0% of total-time
Operation const, time spent: 5.0ms, 7.0% of total-time
Operation ival-add, time spent: 3.0ms, 4.0% of total-time

series4.0ms (0.1%)

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

9 calls:

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

rewrite89.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
581×unpow-prod-down
497×log1p-expm1-u
497×expm1-log1p-u
436×pow1
325×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01459
114547
2169247
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/3 binary64)))

simplify122.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
358×prod-exp
322×*-commutative
293×associate-/r*
275×exp-prod
216×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03108589937544
15798589937373
218328589937342
373488589937342
Stop Event
1×node limit
Counts
143 → 157
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 x (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
x
(*.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
x
(*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
x
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
x
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 2 binary64))))
x
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (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 (cbrt.f64 x) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
x
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) x)
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
x
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
x
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)))
x
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1/3 binary64)))
x

eval71.0ms (1.4%)

Compiler

Compiled 1946 to 1556 computations (20% saved)

prune37.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1525157
Fresh011
Picked415
Done011
Total1568164
Accuracy
100.0%
Counts
164 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.3%
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
86.1%
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
▶86.1%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓55.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶36.7%
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
▶99.5%
(log1p.f64 (expm1.f64 x))
▶55.4%
x
Compiler

Compiled 103 to 84 computations (18.4% saved)

localize836.0ms (16.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓99.8%
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
✓100.0%
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
99.9%
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓99.9%
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
✓99.2%
(log1p.f64 (expm1.f64 x))
Compiler

Compiled 77 to 57 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 511.0ms
Operation ival-pow, time spent: 134.0ms, 26.0% of total-time
Operation composed, time spent: 111.0ms, 22.0% of total-time
Operation ival-log, time spent: 75.0ms, 15.0% of total-time
Operation ival-mult, time spent: 62.0ms, 12.0% of total-time
Operation ival-add, time spent: 53.0ms, 10.0% of total-time
Operation ival-div, time spent: 38.0ms, 7.0% of total-time
Operation const, time spent: 20.0ms, 4.0% of total-time
Operation ival-exp, time spent: 11.0ms, 2.0% of total-time
Operation ival-sub, time spent: 7.0ms, 1.0% of total-time

series4.0ms (0.1%)

Counts
5 → 45
Calls
Call 1
Inputs
#<alt (log1p.f64 (expm1.f64 x))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))>
#<alt (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

15 calls:

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

rewrite128.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
682×log1p-expm1-u
681×expm1-log1p-u
607×log-prod
406×prod-diff
209×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02277
128367
2338267
Stop Event
1×node limit
Counts
5 → 180
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(/.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
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x
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) x) (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
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(fma.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))

simplify147.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
712×fmm-def
641×cube-prod
558×exp-prod
282×associate-/l*
235×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03444645
16704539
222464493
354394493
Stop Event
1×node limit
Counts
225 → 196
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
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(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/3 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
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(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal -1 binary64) (neg.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)))
(/.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
x
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
x
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
x
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal -1 binary64) (neg.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 x)))
(/.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
x
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
x
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
x
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))

eval82.0ms (1.6%)

Compiler

Compiled 2696 to 2185 computations (19% saved)

prune39.0ms (0.8%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2152217
Fresh011
Picked235
Done022
Total2178225
Accuracy
100.0%
Counts
225 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
▶86.1%
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓86.1%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓55.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
▶55.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶36.7%
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
✓99.5%
(log1p.f64 (expm1.f64 x))
✓55.4%
x
Compiler

Compiled 57 to 46 computations (19.3% saved)

localize129.0ms (2.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
99.8%
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓99.8%
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
Compiler

Compiled 58 to 44 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-pow, time spent: 28.0ms, 50.0% of total-time
Operation ival-mult, time spent: 13.0ms, 23.0% of total-time
Operation ival-div, time spent: 8.0ms, 14.0% of total-time
Operation const, time spent: 4.0ms, 7.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time

series1.0ms (0%)

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

9 calls:

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

rewrite105.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
799×log1p-expm1-u
799×expm1-log1p-u
440×log-prod
298×fma-define
171×pow-to-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01747
120547
2238447
Stop Event
1×node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -2 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))

simplify167.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
785×fmm-def
663×fma-define
354×distribute-lft-in
292×distribute-rgt-in
242×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031012884906017
159612884905664
2168212884905616
3707912884905592
Stop Event
1×node limit
Counts
162 → 150
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -2 binary64)) (cbrt.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.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)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64))) (*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)))
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 9 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/6 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x (log.f64 (exp.f64 #s(literal 1 binary64))))
x
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal -1 binary64) (neg.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
x
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -2 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -2 binary64)))
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/9 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
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(fma.f64 x #s(literal 2 binary64) (pow.f64 (*.f64 x (cbrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))

eval69.0ms (1.4%)

Compiler

Compiled 2177 to 1759 computations (19.2% saved)

prune28.0ms (0.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1710171
Fresh000
Picked033
Done055
Total1718179
Accuracy
100.0%
Counts
179 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
✓86.1%
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
✓86.1%
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
✓55.7%
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓55.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓36.7%
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
✓99.5%
(log1p.f64 (expm1.f64 x))
✓55.4%
x
Compiler

Compiled 138 to 112 computations (18.8% saved)

regimes17.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
Outputs
(log1p.f64 (expm1.f64 x))
Calls

3 calls:

13.0ms
x
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
99.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
86.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
86.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
Outputs
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
85.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -33.7b remaining (-117.9%)

Threshold costs -33.7b (-117.9%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0003405198170327211
11.551067513032072
Results
20.0ms127×256valid
0.0ms1×256valid
Compiler

Compiled 93 to 74 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-exp, time spent: 3.0ms, 45.0% of total-time
Operation ival-sub, time spent: 1.0ms, 15.0% of total-time
Operation ival-div, time spent: 1.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 15.0% of total-time
Operation ival-neg, time spent: 1.0ms, 15.0% of total-time

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031138
138138
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 x))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
x
Outputs
(log1p.f64 (expm1.f64 x))
(/.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5/2 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
x
Compiler

Compiled 47 to 37 computations (21.3% saved)

soundness385.0ms (7.6%)

Rules
1068×fma-define
682×log1p-expm1-u
681×expm1-log1p-u
607×log-prod
581×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02277
128367
2338267
039274
192250
2253250
3670250
41208250
51593250
61752250
71973250
82238250
92254250
102254250
112455250
01459
114547
2169247
Stop Event
1×node limit
1×saturated
1×node limit
Compiler

Compiled 161 to 129 computations (19.9% saved)

end0.0ms (0%)

preprocess69.0ms (1.4%)

Remove

(negabs x)

Compiler

Compiled 150 to 114 computations (24% saved)

Profiling

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