Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, F

Time bar (total: 1.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% 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)

sample619.0ms (43.2%)

Results
394.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-mult: 147.0ms (91.6% of total)
const: 10.0ms (6.2% of total)
backward-pass: 3.0ms (1.9% of total)
Bogosity

preprocess47.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
104×fma-define
40×distribute-lft-neg-in
32×associate-*r*
29×distribute-rgt-neg-in
24×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020141
150133
2118133
3290133
4406133
5520133
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 (neg.f64 x) #s(literal 27 binary64)) y)
(*.f64 (*.f64 x #s(literal 27 binary64)) (neg.f64 y))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 27 binary64)) y))
(neg.f64 (*.f64 (*.f64 x #s(literal 27 binary64)) (neg.f64 y)))
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 (*.f64 (neg.f64 x) #s(literal 27 binary64)) y)
(*.f64 y (*.f64 #s(literal 27 binary64) (neg.f64 x)))
(*.f64 x (*.f64 #s(literal -27 binary64) y))
(*.f64 y (*.f64 x #s(literal -27 binary64)))
(*.f64 (*.f64 x #s(literal 27 binary64)) (neg.f64 y))
(*.f64 y (*.f64 #s(literal 27 binary64) (neg.f64 x)))
(*.f64 x (*.f64 #s(literal -27 binary64) y))
(*.f64 y (*.f64 x #s(literal -27 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 27 binary64)) y))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(neg.f64 (*.f64 (*.f64 x #s(literal 27 binary64)) (neg.f64 y)))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)

explain52.0ms (3.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 (*.f64 x #s(literal 27 binary64)) y)
00-0-x
00-0-(*.f64 x #s(literal 27 binary64))
00-0-#s(literal 27 binary64)
00-0-y
Results
33.0ms512×0valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 13.0ms (86.8% of total)
const: 2.0ms (13.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
▶99.7%
(*.f64 x (*.f64 #s(literal 27 binary64) y))
▶99.6%
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize51.0ms (3.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.3%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
✓99.7%
(*.f64 x (*.f64 #s(literal 27 binary64) y))
✓99.6%
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Results
38.0ms256×0valid
Compiler

Compiled 36 to 19 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 15.0ms (94.9% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.6%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 x (*.f64 #s(literal 27 binary64) y))>
#<alt (*.f64 (*.f64 x #s(literal 27 binary64)) y)>
Outputs
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 27 binary64) (*.f64 x y))>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* 27 (* x y))
1.0ms
y
@0
(* 27 (* x y))
1.0ms
x
@0
(* 27 (* x y))
1.0ms
y
@inf
(* 27 (* x y))
0.0ms
x
@-inf
(* 27 (* x y))

rewrite403.0ms (28.1%)

Algorithm
1×batch-egg-rewrite
Rules
695×unpow-prod-down
553×log1p-expm1-u
553×expm1-log1p-u
462×pow1
384×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01457
117157
2157857
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))

simplify129.0ms (9%)

Algorithm
1×egg-herbie
Rules
968×fma-define
419×prod-exp
389×distribute-lft-in
369×*-commutative
350×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0972952
11902952
24012952
320622952
456572952
566592952
Stop Event
1×node limit
Counts
144 → 36
Calls
Call 1
Inputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 27 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 27 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 27 binary64) x)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 27 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 3 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))) #s(literal 2 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 27 binary64)) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 27 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
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(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) y))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 27 binary64) x))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (log.f64 y)))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 27 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(*.f64 #s(literal 27 binary64) (*.f64 x y))

eval8.0ms (0.5%)

Compiler

Compiled 362 to 266 computations (26.5% saved)

prune6.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh000
Picked033
Done000
Total36339
Accuracy
100.0%
Counts
39 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
✓99.7%
(*.f64 x (*.f64 #s(literal 27 binary64) y))
✓99.6%
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes7.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Outputs
(*.f64 x (*.f64 #s(literal 27 binary64) y))
Calls

4 calls:

2.0ms
(*.f64 x #s(literal 27 binary64))
2.0ms
x
2.0ms
y
1.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.7%1(*.f64 x #s(literal 27 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Outputs
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Calls

2 calls:

1.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
11638
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))
Outputs
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 x y))

soundness36.0ms (2.5%)

Rules
104×fma-define
40×distribute-lft-neg-in
32×associate-*r*
29×distribute-rgt-neg-in
24×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020141
150133
2118133
3290133
4406133
5520133
Stop Event
1×done
1×saturated
Compiler

Compiled 41 to 27 computations (34.1% saved)

preprocess60.0ms (4.2%)

Compiler

Compiled 38 to 26 computations (31.6% saved)

end0.0ms (0%)

Profiling

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