FastMath repmul

Time bar (total: 1.3s)

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 9 to 5 computations (44.4% saved)

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

sample773.0ms (57.6%)

Results
611.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-mult: 182.0ms (94.7% of total)
const: 7.0ms (3.6% of total)
backward-pass: 3.0ms (1.6% of total)
Bogosity

preprocess55.0ms (4.1%)

Algorithm
1×egg-herbie
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
1×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)

explain43.0ms (3.2%)

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
Results
26.0ms512×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 12.0ms (93.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (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)

localize35.0ms (2.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.f64 (*.f64 d1 d1) d1)
✓99.8%
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Results
27.0ms256×0valid
Compiler

Compiled 23 to 8 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 8.0ms (57.2% of total)
ival-mult: 6.0ms (42.9% of total)
const: 1.0ms (7.2% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.2%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 d1 d1) d1) d1)>
#<alt (*.f64 (*.f64 d1 d1) d1)>
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

6 calls:

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

rewrite216.0ms (16.1%)

Algorithm
1×batch-egg-rewrite
Rules
486×associate-*l*
292×unpow-prod-down
256×log1p-expm1-u
256×expm1-log1p-u
248×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
18720
283920
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(*.f64 (*.f64 d1 d1) d1)
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 2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 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 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (log.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 (*.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 (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 #s(literal 3 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(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 #s(literal 3 binary64) (log.f64 d1)))
(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)))

simplify127.0ms (9.4%)

Algorithm
1×egg-herbie
Rules
674×div-sub
375×prod-exp
347×associate-+l-
307×associate-+r-
280×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01498589935928
12778589935916
26578589935894
325088589935894
463488589935894
Stop Event
1×node limit
Counts
82 → 69
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 2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 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 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (sqrt.f64 (*.f64 (log.f64 d1) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (log.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 (*.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 (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 #s(literal 3 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 d1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(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 #s(literal 3 binary64) (log.f64 d1)))
(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)))
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 2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d1) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 d1) #s(literal 12 binary64))
(pow.f64 (pow.f64 d1 #s(literal 6 binary64)) #s(literal 2/3 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 (sqrt.f64 d1) #s(literal 8 binary64))
(pow.f64 (E.f64) (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 4 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (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 (*.f64 (log.f64 d1) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (log.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 (*.f64 (log.f64 d1) #s(literal 4 binary64)))
(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)))
(pow.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)))
(cbrt.f64 (pow.f64 d1 #s(literal 12 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))
(+.f64 #s(literal 0 binary64) (pow.f64 d1 #s(literal 3 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 #s(literal 2 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))
(pow.f64 d1 #s(literal 3 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 (pow.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 2 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 d1 #s(literal 3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 d1 #s(literal 3 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 d1 #s(literal 3 binary64))
(pow.f64 (pow.f64 d1 #s(literal 9 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 d1 #s(literal 9 binary64)))
(pow.f64 (pow.f64 d1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 (sqrt.f64 d1) #s(literal 6 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 3 binary64) (log.f64 d1)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 d1))
(pow.f64 d1 #s(literal 3 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1)))) (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1))))
(sqrt.f64 (pow.f64 d1 #s(literal 6 binary64)))
(pow.f64 d1 #s(literal 3 binary64))
(fabs.f64 (pow.f64 d1 #s(literal 3 binary64)))
(pow.f64 d1 #s(literal 3 binary64))
(log.f64 (exp.f64 (pow.f64 d1 #s(literal 3 binary64))))
(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))))
(pow.f64 d1 #s(literal 3 binary64))
(log1p.f64 (expm1.f64 (pow.f64 d1 #s(literal 3 binary64))))
(pow.f64 d1 #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 d1)))
(pow.f64 d1 #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 d1 #s(literal 9 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 d1 #s(literal 9 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 d1)) #s(literal 2 binary64)))
(pow.f64 d1 #s(literal 3 binary64))

eval15.0ms (1.1%)

Compiler

Compiled 716 to 554 computations (22.6% saved)

prune8.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh000
Picked022
Done000
Total69271
Accuracy
100.0%
Counts
71 → 2
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 23 to 13 computations (43.5% saved)

regimes5.0ms (0.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
(pow.f64 d1 #s(literal 4 binary64))
Outputs
(pow.f64 d1 #s(literal 4 binary64))
Calls

2 calls:

3.0ms
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
1.0ms
d1
Results
AccuracySegmentsBranch
100.0%1d1
100.0%1(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
Compiler

Compiled 10 to 5 computations (50% saved)

regimes1.0ms (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:

0.0ms
(*.f64 (*.f64 (*.f64 d1 d1) d1) d1)
0.0ms
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 (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
11241
Stop Event
1×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)))

soundness23.0ms (1.7%)

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
1×done
1×saturated
Compiler

Compiled 32 to 19 computations (40.6% saved)

preprocess34.0ms (2.6%)

Remove

(abs d1)

Compiler

Compiled 70 to 44 computations (37.1% saved)

end0.0ms (0%)

Profiling

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