Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

Time bar (total: 2.6s)

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-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample937.0ms (36.5%)

Results
692.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 384.0ms
ival-div: 322.0ms (83.8% of total)
ival-sub: 49.0ms (12.8% of total)
const: 11.0ms (2.9% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess55.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
118×fma-neg
41×fma-define
22×sub-neg
18×distribute-lft-neg-in
18×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
020149
139137
286133
3179113
4350113
5465113
6502113
7505113
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64))))
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 y (/.f64 x #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -4 binary64)))
(-.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64))))
(-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 y #s(literal 1/4 binary64) x)
(neg.f64 (-.f64 x (/.f64 (neg.f64 y) #s(literal 4 binary64))))
(-.f64 (neg.f64 x) (/.f64 y #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) x (/.f64 y #s(literal -4 binary64)))
(-.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(-.f64 y (/.f64 x #s(literal 4 binary64)))
(+.f64 y (/.f64 x #s(literal -4 binary64)))
(+.f64 y (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) y)

explain71.0ms (2.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-y
00-0-(-.f64 x (/.f64 y #s(literal 4 binary64)))
Results
52.0ms512×0valid
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.8% of total)
ival-sub: 4.0ms (44.8% of total)
const: 1.0ms (11.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓cost-diff0
(/.f64 y #s(literal 4 binary64))
Rules
57×fma-neg
53×fma-define
17×cancel-sign-sub-inv
15×sub-neg
11×neg-mul-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01038
11338
22338
33338
44638
56734
611334
716234
822434
928334
1034234
1135734
1235934
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(+.f64 x (/.f64 y #s(literal -4 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(/.f64 y #s(literal 4 binary64))
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 4 binary64)

localize18.0ms (0.7%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y #s(literal 4 binary64))
✓accuracy100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Results
12.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.5% of total)
ival-sub: 1.0ms (26.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series69.0ms (2.7%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (/.f64 y #s(literal 4 binary64))>
#<alt (-.f64 x (/.f64 y #s(literal 4 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt (-.f64 x (*.f64 #s(literal 1/4 binary64) y))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1/4 binary64) y))>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

9 calls:

TimeVariablePointExpression
65.0ms
y
@inf
(/ y 4)
1.0ms
y
@inf
(- x (/ y 4))
0.0ms
y
@-inf
(/ y 4)
0.0ms
y
@0
(/ y 4)
0.0ms
x
@inf
(- x (/ y 4))

rewrite351.0ms (13.7%)

Algorithm
1×batch-egg-rewrite
Rules
533×log1p-expm1-u
533×expm1-log1p-u
483×prod-diff
455×unpow-prod-down
453×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
110629
2145625
Stop Event
1×node limit
Counts
2 → 179
Calls
Call 1
Inputs
(/.f64 y #s(literal 4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 x (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (*.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (*.f64 #s(literal -1/4 binary64) (neg.f64 y))))
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(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)) (sqrt.f64 (fma.f64 y #s(literal -1/4 binary64) x)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) #s(literal 1/4 binary64) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) x)

simplify153.0ms (6%)

Algorithm
1×egg-herbie
Rules
560×times-frac
302×cancel-sign-sub-inv
301×fma-neg
295×distribute-lft-in
275×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04064621
18754395
223804365
378764365
Stop Event
1×node limit
Counts
215 → 214
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/4 binary64))
(*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 y (pow.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(+.f64 x (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (neg.f64 y) #s(literal 1/4 binary64) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (*.f64 y #s(literal -1/4 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/4 binary64) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (*.f64 #s(literal -1/4 binary64) (neg.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 y) (*.f64 (/.f64 (sqrt.f64 y) #s(literal 4 binary64)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 y)))) (fma.f64 #s(literal 1/4 binary64) (neg.f64 y) (*.f64 #s(literal -1/4 binary64) (neg.f64 y))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) x)
Outputs
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(-.f64 x (*.f64 #s(literal 1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 y x) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(+.f64 x (*.f64 #s(literal -1/4 binary64) y))
(fma.f64 y #s(literal -1/4 binary64) x)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (/.f64 x y) #s(literal -1/4 binary64)))
(*.f64 y (+.f64 #s(literal -1/4 binary64) (/.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y (pow.f64 (cbrt.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y (pow.f64 #s(literal 1/64 binary64) #s(literal 1/3 binary64)))
(*.f64 y (cbrt.f64 #s(literal 1/64 binary64)))
(*.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (*.f64 y #s(literal 1/4 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) y) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 5/2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/4 binary64) y)
(neg.f64 (*.f64 y #s(literal -1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/64 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/4 binary64) y)
(+.f64 x (*.f64 y #s(literal -1/4 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(+.f64 x (*.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/4 binary64) x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(+.f64 (fma.f64 y #s(literal -1/4 binary64) x) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
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(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (fma.f64 y #s(literal 1/4 binary64) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/4 binary64) x)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/4 binary64) x) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/4 binary64) y x))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/4 binary64)) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) x)
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) y (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (+.f64 (*.f64 y #s(literal -1/4 binary64)) (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 y #s(literal -1/4 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/4 binary64))) x)
(fma.f64 y #s(literal -1/4 binary64) x)

eval26.0ms (1%)

Compiler

Compiled 3169 to 535 computations (83.1% saved)

prune30.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2122214
Fresh000
Picked011
Done000
Total2123215
Accuracy
100.0%
Counts
215 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
▶49.6%
(*.f64 y #s(literal -1/4 binary64))
▶50.8%
x
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/4 binary64))
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11019
Stop Event
1×saturated
Calls
Call 1
Inputs
x
(*.f64 y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
Outputs
x
(*.f64 y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)

localize19.0ms (0.7%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal -1/4 binary64))
Results
14.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (98.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 y #s(literal -1/4 binary64))>
Outputs
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
#<alt (*.f64 #s(literal -1/4 binary64) y)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* y -1/4)
0.0ms
y
@inf
(* y -1/4)
0.0ms
y
@-inf
(* y -1/4)

rewrite144.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
484×expm1-log1p-u
314×associate-*r*
287×associate-*l*
176×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
14610
248910
3579810
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 y #s(literal -1/4 binary64))
Outputs
(+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))) (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))

simplify66.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
622×sub-neg
518×times-frac
394×associate-*r*
382×prod-exp
331×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085564
1163560
2409553
31681549
45107549
Stop Event
1×node limit
Counts
37 → 34
Calls
Call 1
Inputs
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))) (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/8 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal -1/4 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) y) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) y)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))) (sqrt.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y)))) (sqrt.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(fabs.f64 (*.f64 y #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(log.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) y))
(*.f64 #s(literal -1/4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal -1/4 binary64))))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/4 binary64) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) y)

eval6.0ms (0.2%)

Compiler

Compiled 346 to 109 computations (68.5% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New34034
Fresh000
Picked022
Done011
Total34337
Accuracy
100.0%
Counts
37 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (/.f64 y #s(literal 4 binary64)))
✓49.6%
(*.f64 y #s(literal -1/4 binary64))
✓50.8%
x
Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes20.0ms (0.8%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y #s(literal -1/4 binary64))
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
Calls

4 calls:

14.0ms
x
2.0ms
(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms
(/.f64 y #s(literal 4 binary64))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (/.f64 y #s(literal 4 binary64)))
100.0%1(/.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y #s(literal -1/4 binary64))
Outputs
(*.f64 y #s(literal -1/4 binary64))
x
(*.f64 y #s(literal -1/4 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
75.7%3x
76.0%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
50.8%1x
50.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
97579104196620.02
637273302410591.6
11.0ms
-1.2559545046195342e-64
-1.441114310013709e-67
Results
11.0ms224×0valid
Compiler

Compiled 152 to 121 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 2.0ms (57.3% of total)
ival-sub: 1.0ms (28.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×*-commutative
4×+-commutative
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02168
13068
23968
34568
45068
55268
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 y #s(literal -5217128372676519/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 y #s(literal -1/4 binary64)) (if (<=.f64 y #s(literal 380000000000000 binary64)) x (*.f64 y #s(literal -1/4 binary64))))
x
Outputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
(if (<=.f64 y #s(literal -5217128372676519/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (*.f64 y #s(literal -1/4 binary64)) (if (<=.f64 y #s(literal 380000000000000 binary64)) x (*.f64 y #s(literal -1/4 binary64))))
(if (or (<=.f64 y #s(literal -5217128372676519/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (not (<=.f64 y #s(literal 380000000000000 binary64)))) (*.f64 y #s(literal -1/4 binary64)) x)
x

soundness507.0ms (19.8%)

Rules
560×times-frac
302×cancel-sign-sub-inv
301×fma-neg
295×distribute-lft-in
275×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04064621
18754395
223804365
378764365
Stop Event
1×done
1×node limit
Compiler

Compiled 29 to 19 computations (34.5% saved)

preprocess25.0ms (1%)

Compiler

Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

Profiling

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