FastMath repmul

Time bar (total: 1.6s)

analyze0.0ms (0%)

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

Compiled 9 to 5 computations (44.4% saved)

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

sample726.0ms (44.8%)

Results
435.0ms5170×256valid
250.0ms3085×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 199.0ms
Operation ival-mult, time spent: 191.0ms, 96.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Bogosity

preprocess96.0ms (5.9%)

Algorithm
egg-herbie
Rules
56×fma-define
17×distribute-lft-neg-in
16×associate-*r*
14×fma-neg
12×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 d1 d1)
00-0-(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
00-0-(*.f64 (*.f64 d1 d1) d1)
00-0-d1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014128
13980
211544
320544
426044
531644
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 (*.f64 (*.f64 (neg.f64 d1) (neg.f64 d1)) (neg.f64 d1)) (neg.f64 d1))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 d1) (neg.f64 d1)) (neg.f64 d1)) (neg.f64 d1)))
Outputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 d1 (*.f64 d1 (*.f64 d1 d1)))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 d1 (*.f64 d1 (*.f64 d1 d1)))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 d1) (neg.f64 d1)) (neg.f64 d1)) (neg.f64 d1))
(*.f64 d1 (*.f64 d1 (*.f64 d1 d1)))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 d1) (neg.f64 d1)) (neg.f64 d1)) (neg.f64 d1)))
(neg.f64 (*.f64 d1 (*.f64 d1 (*.f64 d1 d1))))
(*.f64 (neg.f64 d1) (pow.f64 d1 #s(literal 3 binary64)))
(neg.f64 (pow.f64 d1 #s(literal 4 binary64)))
Symmetry

(abs d1)

Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 10.0ms, 92.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 d1 #s(literal 4 binary64))
99.8%
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Compiler

Compiled 12 to 7 computations (41.7% saved)

localize39.0ms (2.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 d1 #s(literal 4 binary64))
99.9%
(*.f64 (*.f64 d1 d1) d1)
99.9%
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 8.0ms, 61.0% of total-time
Operation ival-pow, time spent: 4.0ms, 30.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

series6.0ms (0.4%)

Counts
3 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 d1 d1) d1) d1)>
#<alt (*.f64 (*.f64 d1 d1) d1)>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
Outputs
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
#<alt (pow.f64 d1 #s(literal 3 binary64))>
Calls

9 calls:

TimeVariablePointExpression
3.0ms
d1
@0
(* (* (* d1 d1) d1) d1)
0.0ms
d1
@-inf
(* (* d1 d1) d1)
0.0ms
d1
@inf
(* (* (* d1 d1) d1) d1)
0.0ms
d1
@0
(* (* d1 d1) d1)
0.0ms
d1
@inf
(* (* d1 d1) d1)

rewrite184.0ms (11.3%)

Algorithm
batch-egg-rewrite
Rules
484×associate-*l*
305×unpow-prod-down
261×log1p-expm1-u
261×expm1-log1p-u
252×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
111230
289830
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 (*.f64 d1 d1) d1)
(pow.f64 d1 #s(literal 4 binary64))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 12 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 9 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 6 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 d1 #s(literal 6 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 d1)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 3 binary64)) d1)
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))) d1))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 d1) (*.f64 d1 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 d1) (*.f64 (cbrt.f64 d1) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64)))))
(*.f64 (cbrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 1/6 binary64)) (pow.f64 d1 #s(literal 7/2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 5/2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d1) (pow.f64 d1 #s(literal 7/2 binary64)))
(*.f64 (sqrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 7/2 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 d1)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 d1 #s(literal 1/4 binary64)) (*.f64 (pow.f64 d1 #s(literal 1/4 binary64)) (pow.f64 d1 #s(literal 7/2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/4 binary64)) (*.f64 (pow.f64 d1 #s(literal 3/4 binary64)) (pow.f64 d1 #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 5 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)))
(*.f64 (*.f64 d1 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (cbrt.f64 d1))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 5 binary64))))
(*.f64 (pow.f64 d1 #s(literal 7/2 binary64)) (sqrt.f64 d1))
(*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 11 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 d1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 11 binary64))) (cbrt.f64 d1))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 12 binary64))) #s(literal 1/3 binary64)))

simplify118.0ms (7.2%)

Algorithm
egg-herbie
Rules
508×prod-exp
394×associate-+l-
358×fma-define
345×associate-+r-
309×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02398589937253
14168589937209
29738589937176
332898589937176
477378589937176
Stop Event
node limit
Counts
135 → 125
Calls
Call 1
Inputs
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 12 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 12 binary64))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 3 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 9 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 6 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 d1 #s(literal 6 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 d1) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 d1)) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 3 binary64)) d1)
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))) d1))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 d1) (*.f64 d1 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 d1) (*.f64 (cbrt.f64 d1) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64)))))
(*.f64 (cbrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 1/6 binary64)) (pow.f64 d1 #s(literal 7/2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 5/2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 d1) (pow.f64 d1 #s(literal 7/2 binary64)))
(*.f64 (sqrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 7/2 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 d1)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 d1 #s(literal 1/4 binary64)) (*.f64 (pow.f64 d1 #s(literal 1/4 binary64)) (pow.f64 d1 #s(literal 7/2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/4 binary64)) (*.f64 (pow.f64 d1 #s(literal 3/4 binary64)) (pow.f64 d1 #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 5 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)))
(*.f64 (*.f64 d1 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (cbrt.f64 d1))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 7 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 5 binary64))))
(*.f64 (pow.f64 d1 #s(literal 7/2 binary64)) (sqrt.f64 d1))
(*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 11 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 d1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 11 binary64))) (cbrt.f64 d1))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 16 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 12 binary64))) #s(literal 1/3 binary64)))
Outputs
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal -1 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 12 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 (E.f64) (*.f64 #s(literal 4 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1)))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1))))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 d1 #s(literal 4 binary64))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 d1 #s(literal 4 binary64))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 d1 #s(literal 4 binary64))
(exp.f64 (log.f64 (pow.f64 d1 #s(literal 4 binary64))))
(pow.f64 d1 #s(literal 4 binary64))
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eval35.0ms (2.2%)

Compiler

Compiled 1292 to 935 computations (27.6% saved)

prune14.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1241125
Fresh000
Picked022
Done000
Total1243127
Accuracy
100.0%
Counts
127 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 d1 #s(literal 4 binary64))
99.8%
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
86.2%
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

localize37.0ms (2.3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
86.2%
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-pow, time spent: 10.0ms, 75.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

series1.0ms (0.1%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))>
Outputs
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
#<alt (pow.f64 d1 #s(literal 4 binary64))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
d1
@0
(sqrt (pow d1 8))
0.0ms
d1
@inf
(sqrt (pow d1 8))
0.0ms
d1
@-inf
(sqrt (pow d1 8))

rewrite162.0ms (10%)

Algorithm
batch-egg-rewrite
Rules
741×log1p-expm1-u
291×associate-*r*
262×unpow-prod-down
237×associate-*l*
217×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
17110
269810
3704310
Stop Event
node limit
Counts
1 → 71
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
Outputs
(+.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(*.f64 d1 (pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (pow.f64 d1 #s(literal 1/6 binary64)) #s(literal 8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3 binary64)) d1)
(*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 32 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) (*.f64 (cbrt.f64 d1) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (pow.f64 (pow.f64 d1 #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64)) d1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 32 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 10 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64)))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64))) (sqrt.f64 d1))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64))) (cbrt.f64 d1))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 12 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 16 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 24 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1))))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 d1 #s(literal 4 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 d1) #s(literal 12 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 d1) #s(literal 2 binary64)) #s(literal 2 binary64)))

simplify98.0ms (6%)

Algorithm
egg-herbie
Rules
508×div-sub
482×times-frac
455×associate-+l-
426×associate-+r-
299×prod-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01894294969312
13264294969234
26944294969211
321954294969189
459224294969189
Stop Event
node limit
Counts
83 → 99
Calls
Call 1
Inputs
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(+.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))))
(-.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 d1 (pow.f64 d1 #s(literal 3 binary64)))
(*.f64 d1 (pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (pow.f64 (pow.f64 d1 #s(literal 1/6 binary64)) #s(literal 8 binary64)))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3 binary64)) d1)
(*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d1) (*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 32 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 d1 #s(literal 3/2 binary64)) (pow.f64 d1 #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) (*.f64 (cbrt.f64 d1) (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 d1 #s(literal 5/2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 1/4 binary64)) #s(literal 8 binary64)) (pow.f64 (pow.f64 d1 #s(literal 1/4 binary64)) #s(literal 8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 d1 #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 1/2 binary64)) d1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 d1 #s(literal 32 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 d1 #s(literal 10 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 d1 #s(literal 10 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 d1 #s(literal 20 binary64)))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 16 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 d1 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 d1 #s(literal 3/2 binary64))) (sqrt.f64 d1))
(*.f64 (*.f64 (pow.f64 d1 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d1) #s(literal 5 binary64))) (cbrt.f64 d1))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 8 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 12 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 16 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 d1 #s(literal 24 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64))))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1))))
(fabs.f64 (pow.f64 d1 #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 d1 #s(literal 4 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 4 binary64)) #s(literal 1 binary64))))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 4 binary64))))
(cbrt.f64 (pow.f64 d1 #s(literal 12 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d1 #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 d1) #s(literal 12 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 d1) #s(literal 2 binary64)) #s(literal 2 binary64)))
Outputs
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
(pow.f64 d1 #s(literal 4 binary64))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (log.f64 d1))))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (log.f64 d1))))
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eval24.0ms (1.5%)

Compiler

Compiled 999 to 723 computations (27.6% saved)

prune14.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done022
Total993102
Accuracy
100.0%
Counts
102 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 d1 #s(literal 4 binary64))
99.8%
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
86.2%
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes4.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(pow.f64 d1 #s(literal 4 binary64))
(sqrt.f64 (pow.f64 d1 #s(literal 8 binary64)))
Outputs
(pow.f64 d1 #s(literal 4 binary64))
Calls

2 calls:

2.0ms
d1
1.0ms
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Results
AccuracySegmentsBranch
100.0%1d1
100.0%1(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Compiler

Compiled 10 to 5 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Outputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Calls

2 calls:

1.0ms
d1
1.0ms
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Results
AccuracySegmentsBranch
99.8%1d1
99.8%1(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Compiler

Compiled 10 to 5 computations (50% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
11241
Stop Event
done
saturated
Calls
Call 1
Inputs
(pow.f64 d1 #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Outputs
(pow.f64 d1 #s(literal 4 binary64))
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 d1 (*.f64 d1 (*.f64 d1 d1)))
Compiler

Compiled 12 to 7 computations (41.7% saved)

soundness20.0ms (1.2%)

Rules
56×fma-define
17×distribute-lft-neg-in
16×associate-*r*
14×fma-neg
12×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014128
13980
211544
320544
426044
531644
Stop Event
saturated
Compiler

Compiled 21 to 13 computations (38.1% saved)

end0.0ms (0%)

preprocess37.0ms (2.3%)

Remove

(abs d1)

Compiler

Compiled 70 to 44 computations (37.1% saved)

Profiling

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