Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

Time bar (total: 14.7s)

analyze277.0ms (1.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 8.0ms (35.7% of total)
ival-add: 8.0ms (35.7% of total)
ival-div: 6.0ms (26.8% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

sample2.6s (17.6%)

Results
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 571.0ms
ival-div: 331.0ms (58% of total)
ival-sub: 123.0ms (21.6% of total)
ival-add: 102.0ms (17.9% of total)
const: 12.0ms (2.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess823.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
1190×fma-define
791×fma-neg
260×distribute-rgt-in
238×times-frac
236×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036377
188341
2249341
3788341
42040341
54196341
64648341
74847341
84925341
94941341
105636341
115636341
125728341
136129341
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z)))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z)))
(neg.f64 (+.f64 x (/.f64 (-.f64 y x) (neg.f64 z))))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (+.f64 x y) z) x)
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(-.f64 x (/.f64 (+.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 x y) z))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z)))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(-.f64 x (/.f64 (+.f64 x y) z))
(neg.f64 (+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (+.f64 x y) z) x)
(neg.f64 (+.f64 x (/.f64 (-.f64 y x) (neg.f64 z))))
(-.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

explain135.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (/.f64 (-.f64 y x) z))
00-0-z
00-0-(/.f64 (-.f64 y x) z)
00-0-y
00-0-(-.f64 y x)
Results
82.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (35.2% of total)
ival-add: 8.0ms (31.3% of total)
ival-sub: 7.0ms (27.4% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify146.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) z)
✓cost-diff0
(-.f64 x (/.f64 (-.f64 x y) z))
Rules
440×fma-neg
407×fma-define
75×div-sub
67×sub-neg
67×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01278
12078
23678
38178
420078
546678
6104178
7170378
8188778
9202478
10211478
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 x y) z))
x
(/.f64 (-.f64 x y) z)
(-.f64 x y)
y
z
Outputs
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 x y) z)
(-.f64 x y)
y
z

localize53.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
✓accuracy100.0%
(/.f64 (-.f64 x y) z)
Results
40.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 7.0ms (59.2% of total)
ival-div: 5.0ms (42.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.2%)

Counts
3 → 81
Calls
Call 1
Inputs
#<alt (-.f64 x (/.f64 (-.f64 x y) z))>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (-.f64 x y)>
Outputs
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (-.f64 x (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt x>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(- x (/ (- x y) z))
2.0ms
x
@-inf
(/ (- x y) z)
2.0ms
y
@0
(- x (/ (- x y) z))
2.0ms
x
@0
(- x (/ (- x y) z))
2.0ms
x
@-inf
(- x (/ (- x y) z))

rewrite528.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
976×log1p-expm1-u
976×expm1-log1p-u
437×log-prod
360×fma-define
174×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
115666
2250466
Stop Event
1×node limit
Counts
3 → 245
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
Outputs
(+.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))
(+.f64 x (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 x z)) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))) (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(*.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64))) (+.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 x (/.f64 (-.f64 x y) z)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (-.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) (neg.f64 z))) (*.f64 x (/.f64 (-.f64 x y) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) (neg.f64 z)))) (+.f64 x (/.f64 (-.f64 x y) z)))
(pow.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (-.f64 x y) z))) #s(literal 2 binary64))
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(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 y z)))
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(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)

simplify379.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
645×fma-neg
287×distribute-lft-neg-in
269×associate-+r-
248×distribute-rgt-neg-in
201×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053211776
1116611425
2387910591
Stop Event
1×node limit
Counts
326 → 331
Calls
Call 1
Inputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(-.f64 x (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
x
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) y)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(+.f64 x (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (/.f64 (-.f64 x y) (neg.f64 z)))
(+.f64 x (*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (-.f64 x y) z)) (+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (/.f64 (-.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 x z)) (/.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))) (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (-.f64 x y) z))))))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x y) z))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 x y) z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 x y) (neg.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (cbrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (neg.f64 (/.f64 y z)))
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (neg.f64 (/.f64 y z)))
(+.f64 x (neg.f64 y))
(+.f64 x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 x y) (+.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) x)
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x y))) (cbrt.f64 (exp.f64 (-.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x y)))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(exp.f64 (log.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
Outputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (+.f64 (/.f64 y (*.f64 z x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x y) (/.f64 x (*.f64 y z)))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 x (neg.f64 y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 x (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(-.f64 x y)
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 3 binary64))
(-.f64 x y)
(pow.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x y)
(pow.f64 (sqrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(-.f64 x y)
(sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)))
(-.f64 x y)
(log.f64 (exp.f64 (-.f64 x y)))
(-.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x y))))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 y))))
(-.f64 x y)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (exp.f64 x)))
(-.f64 x y)
(log.f64 (*.f64 (exp.f64 (neg.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(-.f64 x y)
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(-.f64 x y)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(-.f64 x y)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(-.f64 x y)
(cbrt.f64 (pow.f64 (-.f64 x y) #s(literal 3 binary64)))
(-.f64 x y)
(expm1.f64 (log1p.f64 (-.f64 x y)))
(log1p.f64 (expm1.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (log.f64 (-.f64 x y)))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (neg.f64 y))
(-.f64 x y)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (-.f64 x y) #s(literal 1 binary64) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (neg.f64 y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (-.f64 x y) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 #s(literal 1 binary64) (neg.f64 y) x)
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(-.f64 x y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)) (+.f64 (neg.f64 y) y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 y))
(-.f64 x y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 x y)
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) x)
(-.f64 x y)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 y) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (neg.f64 y) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) x)
(-.f64 x y)
(fma.f64 #s(literal -1 binary64) y x)
(-.f64 x y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(-.f64 x y)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (+.f64 y (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 x) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(-.f64 x y)

eval114.0ms (0.8%)

Compiler

Compiled 5316 to 943 computations (82.3% saved)

prune136.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3238331
Fresh000
Picked101
Done000
Total3248332
Accuracy
100.0%
Counts
332 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 (-.f64 (+.f64 y (*.f64 z x)) x) z)
63.2%
(/.f64 (-.f64 y x) z)
40.4%
(/.f64 y z)
▶76.4%
(-.f64 x (/.f64 (neg.f64 y) z))
▶62.6%
(-.f64 x (/.f64 x z))
▶98.9%
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
▶99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
▶38.2%
x
Compiler

Compiled 154 to 96 computations (37.7% saved)

simplify251.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 (-.f64 x y))
✓cost-diff0
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))
✓cost-diff19520
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
✓cost-diff19520
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(/.f64 (neg.f64 y) z)
✓cost-diff64
(-.f64 x (/.f64 (neg.f64 y) z))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(-.f64 x (/.f64 x z))
cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
✓cost-diff128
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
Rules
433×fma-neg
430×fma-define
180×times-frac
107×associate-*r*
94×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026368
158340
2143340
3424340
4884340
51736340
62367340
72545340
82561340
92570340
102570340
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(-.f64 x y)
y
x
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(-.f64 x (/.f64 (neg.f64 y) z))
x
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
x
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(cbrt.f64 (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)
(/.f64 (cbrt.f64 (-.f64 x y)) z)
z
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(-.f64 x y)
y
x
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(-.f64 x (/.f64 (neg.f64 y) z))
(+.f64 x (/.f64 y z))
x
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(neg.f64 y)
y
z
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(cbrt.f64 (-.f64 x y))
(-.f64 x y)
y
#s(literal 2 binary64)
(/.f64 (cbrt.f64 (-.f64 x y)) z)
z

localize201.0ms (1.4%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 (cbrt.f64 (-.f64 x y)) z)
✓accuracy99.6%
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
✓accuracy99.3%
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))
✓accuracy99.1%
(cbrt.f64 (-.f64 x y))
✓accuracy100.0%
(/.f64 (neg.f64 y) z)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 x (/.f64 (neg.f64 y) z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 x (/.f64 x z))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
Results
143.0ms256×0valid
Compiler

Compiled 107 to 20 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 21.0ms (35.8% of total)
ival-sub: 16.0ms (27.3% of total)
ival-mult: 8.0ms (13.6% of total)
ival-pow: 7.0ms (11.9% of total)
ival-neg: 3.0ms (5.1% of total)
ival-cbrt: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series199.0ms (1.3%)

Counts
13 → 324
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (-.f64 x (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (-.f64 x (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))>
#<alt (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))>
#<alt (cbrt.f64 (-.f64 x y))>
#<alt (/.f64 (cbrt.f64 (-.f64 x y)) z)>
Outputs
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt x>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (-.f64 x (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (/.f64 (-.f64 x y) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (/.f64 y z)>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) (*.f64 #s(literal -1 binary64) y)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)))))>
#<alt (-.f64 x (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt (/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)>
#<alt x>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt (-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
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#<alt (cbrt.f64 x)>
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#<alt (*.f64 #s(literal -1 binary64) (cbrt.f64 y))>
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#<alt (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (/.f64 y z))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (/.f64 y z))))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) z))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z))))))) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (cbrt.f64 y) (/.f64 (cbrt.f64 #s(literal -1 binary64)) z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) z)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x (*.f64 z (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 x z) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (cbrt.f64 y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (cbrt.f64 (pow.f64 y #s(literal 10 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))) z)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (-.f64 x y)))>
Calls

90 calls:

TimeVariablePointExpression
15.0ms
y
@-inf
(pow (cbrt (- x y)) 2)
12.0ms
x
@-inf
(- x (* (pow (cbrt (- x y)) 2) (/ (cbrt (- x y)) z)))
10.0ms
y
@inf
(pow (cbrt (- x y)) 2)
10.0ms
x
@-inf
(pow (cbrt (- x y)) 2)
8.0ms
x
@inf
(pow (cbrt (- x y)) 2)

rewrite662.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
1118×log1p-expm1-u
179×expm1-log1p-u
176×add-cube-cbrt
174×add-exp-log
174×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026268
1436256
26195256
Stop Event
1×node limit
Counts
13 → 449
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(/.f64 #s(literal 1 binary64) z)
(-.f64 x (/.f64 x z))
(/.f64 x z)
(-.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64))
(cbrt.f64 (-.f64 x y))
(/.f64 (cbrt.f64 (-.f64 x y)) z)
Outputs
(+.f64 x (/.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 x (*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (/.f64 (+.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 x y) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (+.f64 x y)) z) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x y) z))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64))) (/.f64 (+.f64 x y) z)))
(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (+.f64 x y) z)))
(+.f64 (/.f64 (+.f64 x y) (neg.f64 z)) x)
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x y) z)))
(*.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (+.f64 x y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64))) (+.f64 x (/.f64 (+.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (+.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x y) (neg.f64 z))) (*.f64 x (/.f64 (+.f64 x y) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x y) (neg.f64 z)))) (-.f64 x (/.f64 (+.f64 x y) (neg.f64 z))))
(pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (/.f64 (+.f64 x y) z)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y)))
(/.f64 (+.f64 x y) z)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (+.f64 x y)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 z))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)))
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(+.f64 (-.f64 x (/.f64 (+.f64 x y) z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))) (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (+.f64 x y) z)))
(+.f64 (/.f64 (+.f64 x y) (neg.f64 z)) x)
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (+.f64 x y) z)))
(*.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x y) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (+.f64 x y) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64))) (+.f64 x (/.f64 (+.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x (/.f64 (+.f64 x y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 (+.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 x y) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x y) (neg.f64 z))) (*.f64 x (/.f64 (+.f64 x y) (neg.f64 z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x y) (neg.f64 z)))) (-.f64 x (/.f64 (+.f64 x y) (neg.f64 z))))
(pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (/.f64 (+.f64 x y) z)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x y) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x y) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y)))
(/.f64 (+.f64 x y) z)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (+.f64 x y)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 z))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(pow.f64 (+.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) z))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) z))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) z))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (+.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 1 binary64)))

simplify963.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
648×distribute-lft-in
633×distribute-rgt-in
480×*-commutative
370×times-frac
169×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0143477309442282
1377877309441380
Stop Event
1×node limit
Counts
773 → 709
Calls
Call 1
Inputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
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(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x y) z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 x y) (neg.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (+.f64 x y)))
(/.f64 (+.f64 x y) z)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 z (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 z)))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) z))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (neg.f64 z)))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (*.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (+.f64 x y)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 z))
(/.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(pow.f64 (+.f64 x y) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (+.f64 x y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (+.f64 x y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) z))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) z))
(*.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 1/6 binary64)) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (cbrt.f64 (+.f64 x y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) z))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (+.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 1 binary64)))
Outputs
(/.f64 y z)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))) #s(literal -1 binary64))))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (+.f64 y (fma.f64 x z (neg.f64 x))) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (+.f64 y (fma.f64 x z (neg.f64 x))) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) z)
(/.f64 (+.f64 y (fma.f64 x z (neg.f64 x))) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
x
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(+.f64 x (/.f64 (-.f64 y x) z))
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(cbrt.f64 x)
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(neg.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 x y))) z))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 y x)) z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (cbrt.f64 (+.f64 y x)) z))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z))))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z) #s(literal 3 binary64)))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(cbrt.f64 (*.f64 (+.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (+.f64 y x)) z)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)))
(/.f64 (cbrt.f64 (+.f64 y x)) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 x y)) z)) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (+.f64 y x)) z)

eval409.0ms (2.8%)

Compiler

Compiled 27152 to 4621 computations (83% saved)

prune737.0ms (5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New111641120
Fresh123
Picked235
Done000
Total111991128
Accuracy
100.0%
Counts
1128 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(/.f64 (-.f64 (*.f64 x z) x) z)
▶63.2%
(/.f64 (-.f64 y x) z)
▶26.8%
(/.f64 (neg.f64 x) z)
▶40.4%
(/.f64 y z)
✓62.6%
(-.f64 x (/.f64 x z))
26.0%
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
✓99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
▶76.4%
(+.f64 (/.f64 y z) x)
✓38.2%
x
Compiler

Compiled 128 to 84 computations (34.4% saved)

simplify223.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x z)
✓cost-diff0
(-.f64 (*.f64 x z) x)
✓cost-diff128
(/.f64 (-.f64 (*.f64 x z) x) z)
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(/.f64 (-.f64 y x) z)
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(/.f64 (neg.f64 x) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 (/.f64 y z) x)
Rules
718×div-sub
590×fma-neg
360×distribute-lft-out
294×associate-*l/
283×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019222
134216
256216
3102210
4175210
5446210
61496210
74934210
87858210
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 y z)
y
z
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(/.f64 (-.f64 (*.f64 x z) x) z)
(-.f64 (*.f64 x z) x)
(*.f64 x z)
x
z
Outputs
(+.f64 (/.f64 y z) x)
(+.f64 x (/.f64 y z))
(/.f64 y z)
y
z
x
(/.f64 y z)
y
z
(/.f64 (neg.f64 x) z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(neg.f64 x)
x
z
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(/.f64 (-.f64 (*.f64 x z) x) z)
(/.f64 (-.f64 (*.f64 z x) x) z)
(/.f64 (*.f64 x (+.f64 z #s(literal -1 binary64))) z)
(-.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 x z))
(-.f64 x (/.f64 x z))
(-.f64 (*.f64 x z) x)
(-.f64 (*.f64 z x) x)
(*.f64 x (+.f64 z #s(literal -1 binary64)))
(*.f64 x z)
(*.f64 z x)
x
z

localize147.0ms (1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(-.f64 (*.f64 x z) x)
✓accuracy87.5%
(/.f64 (-.f64 (*.f64 x z) x) z)
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(/.f64 (-.f64 y x) z)
✓accuracy100.0%
(/.f64 (neg.f64 x) z)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(+.f64 (/.f64 y z) x)
Results
109.0ms256×0valid
Compiler

Compiled 56 to 13 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 20.0ms (53.4% of total)
ival-sub: 6.0ms (16% of total)
ival-mult: 5.0ms (13.3% of total)
ival-add: 3.0ms (8% of total)
ival-neg: 3.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
9 → 162
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 y z) x)>
#<alt (/.f64 y z)>
#<alt (/.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (-.f64 y x)>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt (-.f64 (*.f64 x z) x)>
#<alt (*.f64 x z)>
Outputs
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt x>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt (+.f64 x (/.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 z #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/ y z)
2.0ms
x
@-inf
(/ (- (* x z) x) z)
2.0ms
x
@inf
(/ (- (* x z) x) z)
1.0ms
x
@0
(/ (- (* x z) x) z)
1.0ms
z
@-inf
(/ (- (* x z) x) z)

rewrite375.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1079×log1p-expm1-u
758×expm1-log1p-u
142×add-cube-cbrt
140×add-exp-log
140×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019161
1302145
25033145
Stop Event
1×node limit
Counts
9 → 314
Calls
Call 1
Inputs
(+.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(/.f64 (-.f64 (*.f64 x z) x) z)
(-.f64 (*.f64 x z) x)
(*.f64 x z)
Outputs
(-.f64 (/.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y z) x)))
(*.f64 (+.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) x))
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(*.f64 (fma.f64 z x x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z x x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) z))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 z x x)) z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z x x) z)) (sqrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (/.f64 (sqrt.f64 (fma.f64 z x x)) z))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (*.f64 (sqrt.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 z x x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (fma.f64 z x x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (fma.f64 z x x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 z x x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 z x x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 z x x)) z))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 z x x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (fma.f64 z x x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 z x x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z x x)) z))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 z x x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 z x x) z))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z x x) z)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z x x) z)))
(exp.f64 (log.f64 (/.f64 (fma.f64 z x x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 1 binary64)))
(+.f64 x (*.f64 z x))
(+.f64 (*.f64 z x) x)
(+.f64 (fma.f64 z x x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 x (+.f64 z #s(literal -1 binary64)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 x)))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))

simplify440.0ms (3%)

Algorithm
1×egg-herbie
Rules
691×fma-neg
444×associate-*r*
403×associate-*l*
312×exp-prod
304×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065911588
1137210963
2619610963
Stop Event
1×node limit
Counts
476 → 437
Calls
Call 1
Inputs
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
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(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
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(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
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(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 z #s(literal 1 binary64))) z)
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) z))
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(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))
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(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 (*.f64 x (/.f64 z z)) (/.f64 x z))
(-.f64 (*.f64 x (/.f64 z z)) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z x x) z))) #s(literal 1 binary64))
(*.f64 (fma.f64 z x x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (fma.f64 z x x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) z))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 z x x)) z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z x x) z)) (sqrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (/.f64 (sqrt.f64 (fma.f64 z x x)) z))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (*.f64 (sqrt.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (fma.f64 z x x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 z x x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (fma.f64 z x x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (fma.f64 z x x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 z x x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 z x x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (fma.f64 z x x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 z x x)) z))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 z x x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (fma.f64 z x x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 z x x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z x x)) z))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 z x x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 z x x) z))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z x x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z x x) z)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z x x) z)))
(exp.f64 (log.f64 (/.f64 (fma.f64 z x x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z x x) z)) #s(literal 1 binary64)))
(+.f64 x (*.f64 z x))
(+.f64 (*.f64 z x) x)
(+.f64 (fma.f64 z x x) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 x (+.f64 z #s(literal -1 binary64)))
(*.f64 x (+.f64 z #s(literal 1 binary64)))
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 x)))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 y z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
(/.f64 (+.f64 y (*.f64 x z)) z)
(/.f64 (fma.f64 x z y) z)
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 y z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) z)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
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(*.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z x)))
(/.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (fma.f64 x z x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(*.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x z x)))
(/.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (fma.f64 x z x))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(fma.f64 x z x)
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(fma.f64 x z x)
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x z x)
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(fma.f64 x z x)
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(fma.f64 x z x)
(log.f64 (exp.f64 (fma.f64 z x x)))
(fma.f64 x z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(fma.f64 x z x)
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(fma.f64 x z x)
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(fma.f64 x z x)
(exp.f64 (log.f64 (fma.f64 z x x)))
(fma.f64 x z x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 x z x)
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 x z x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 x z x)
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(fma.f64 x z x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(*.f64 x z)
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 z x)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(*.f64 x z)

eval250.0ms (1.7%)

Compiler

Compiled 4963 to 1066 computations (78.5% saved)

prune181.0ms (1.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4750475
Fresh011
Picked055
Done033
Total4759484
Accuracy
100.0%
Counts
484 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.2%
(/.f64 (-.f64 (*.f64 x z) x) z)
✓63.2%
(/.f64 (-.f64 y x) z)
✓26.8%
(/.f64 (neg.f64 x) z)
✓40.4%
(/.f64 y z)
✓62.6%
(-.f64 x (/.f64 x z))
▶26.0%
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
✓99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
✓76.4%
(+.f64 (/.f64 y z) x)
✓38.2%
x
Compiler

Compiled 76 to 50 computations (34.2% saved)

simplify150.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x (sqrt.f64 z))
✓cost-diff0
(pow.f64 z #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
✓cost-diff0
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
Rules
412×fma-define
285×fma-neg
81×associate-*l*
77×associate-*r*
70×distribute-lft-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
014117
122117
242117
374117
4128117
5244116
6473114
7761114
81379114
91916114
101967114
111989114
121994114
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
x
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(/.f64 x (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (neg.f64 (sqrt.f64 z))) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z))))
x
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 x (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
(/.f64 x (sqrt.f64 z))
(sqrt.f64 z)

localize236.0ms (1.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
✓accuracy99.8%
(/.f64 x (sqrt.f64 z))
✓accuracy99.8%
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
Results
191.0ms113×0valid
24.0ms143×0invalid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-sqrt: 168.0ms (90.7% of total)
ival-pow: 7.0ms (3.8% of total)
ival-mult: 4.0ms (2.2% of total)
ival-div: 3.0ms (1.6% of total)
ival-sub: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
5 → 88
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))>
#<alt (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))>
#<alt (pow.f64 z #s(literal -1/2 binary64))>
#<alt (/.f64 x (sqrt.f64 z))>
#<alt (sqrt.f64 z)>
Outputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt (/.f64 (-.f64 (*.f64 x z) x) z)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))>
#<alt x>
#<alt (+.f64 x (/.f64 x z))>
#<alt (+.f64 x (/.f64 x z))>
#<alt (+.f64 x (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

24 calls:

TimeVariablePointExpression
18.0ms
x
@0
(/ x (sqrt z))
2.0ms
z
@-inf
(/ x (sqrt z))
2.0ms
z
@0
(pow z -1/2)
2.0ms
z
@-inf
(pow z -1/2)
1.0ms
z
@0
(/ x (sqrt z))

rewrite351.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
845×log1p-expm1-u
845×expm1-log1p-u
750×prod-diff
450×log-prod
243×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014108
117582
2245782
Stop Event
1×node limit
Counts
5 → 280
Calls
Call 1
Inputs
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 x (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(+.f64 x (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 x (*.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x))) (fma.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x (*.f64 (pow.f64 z #s(literal -1 binary64)) x)))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
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(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))

simplify537.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
586×fma-neg
426×distribute-lft-neg-in
411×distribute-rgt-neg-in
212×associate-*r*
197×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063921129
1140213829
2428210128
Stop Event
1×node limit
Counts
368 → 354
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(/.f64 (-.f64 (*.f64 x z) x) z)
(/.f64 (-.f64 (*.f64 x z) x) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
x
(+.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 x (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 x (*.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x))) (fma.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x (*.f64 (pow.f64 z #s(literal -1 binary64)) x)))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z)))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64)))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (/.f64 x (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z)))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x (sqrt.f64 z))))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z)))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x (sqrt.f64 z)))) (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 x (sqrt.f64 z)))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -1 binary64)))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -1 binary64)))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/4 binary64))) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/4 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x))) (fma.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) x (*.f64 (pow.f64 z #s(literal -1 binary64)) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 x (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64))))) (fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z)))) (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/4 binary64)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 z #s(literal -1 binary64)) x)) (+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 z #s(literal -1 binary64)) x)) (fma.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 z #s(literal -1 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 x (sqrt.f64 z)) x)
(fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64))) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (cbrt.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))) (cbrt.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) x)
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (+.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (fma.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) x) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 z)) x)
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (cbrt.f64 (/.f64 x (sqrt.f64 z))) x)
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 x (sqrt.f64 z)))) (sqrt.f64 (/.f64 x (sqrt.f64 z))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 z #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) (cbrt.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (/.f64 x (sqrt.f64 z))))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 z #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 z)))) (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) x)
(*.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(/.f64 x z)
(/.f64 (-.f64 (*.f64 x z) x) z)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
(+.f64 x (/.f64 x z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
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(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1 binary64))) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 x (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x (cbrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) (sqrt.f64 (/.f64 x (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) x))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (/.f64 x (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z))
(/.f64 (/.f64 x (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 x (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 x (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 z)) (cbrt.f64 (/.f64 x (sqrt.f64 z))))
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 x) (pow.f64 z #s(literal 1/4 binary64))))
(/.f64 x (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 z))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 z))
(/.f64 (/.f64 x (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 z))
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 z))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (sqrt.f64 z))
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 z))) #s(literal 2 binary64))
(/.f64 x (sqrt.f64 z))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(/.f64 x (sqrt.f64 z))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)))
(/.f64 x (sqrt.f64 z))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (sqrt.f64 z)))))
(/.f64 x (sqrt.f64 z))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 3 binary64)))
(/.f64 x (sqrt.f64 z))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(/.f64 x (sqrt.f64 z))
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 z))))
(/.f64 x (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64)))
(/.f64 x (sqrt.f64 z))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (exp.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (log.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)

eval112.0ms (0.8%)

Compiler

Compiled 7595 to 1098 computations (85.5% saved)

prune142.0ms (1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3540354
Fresh000
Picked011
Done088
Total3549363
Accuracy
100.0%
Counts
363 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.2%
(/.f64 (-.f64 (*.f64 x z) x) z)
✓63.2%
(/.f64 (-.f64 y x) z)
✓26.8%
(/.f64 (neg.f64 x) z)
✓40.4%
(/.f64 y z)
✓62.6%
(-.f64 x (/.f64 x z))
✓26.0%
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
✓99.8%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
✓76.4%
(+.f64 (/.f64 y z) x)
✓38.2%
x
Compiler

Compiled 172 to 91 computations (47.1% saved)

regimes31.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (neg.f64 y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 (*.f64 x z) x) z)
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(/.f64 (-.f64 (+.f64 y (*.f64 z x)) x) z)
(-.f64 x (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z))))
(-.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z)))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
Calls

4 calls:

7.0ms
z
7.0ms
x
7.0ms
y
7.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes16.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 x (/.f64 (neg.f64 y) z))
Outputs
(+.f64 (/.f64 y z) x)
(/.f64 (-.f64 y x) z)
(+.f64 (/.f64 y z) x)
Calls

3 calls:

5.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
87.1%3x
89.7%3y
98.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
Outputs
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 y z) x)
Calls

2 calls:

4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
89.7%3y
81.0%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
Outputs
(+.f64 (/.f64 y z) x)
(/.f64 (neg.f64 x) z)
(+.f64 (/.f64 y z) x)
Calls

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
81.0%3z
76.4%1x
76.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
3 → 5
Calls
Call 1
Inputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
Outputs
x
(/.f64 y z)
(/.f64 (neg.f64 x) z)
(/.f64 y z)
x
Calls

3 calls:

5.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
58.6%3x
58.6%3y
69.2%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(/.f64 y z)
Outputs
x
(/.f64 y z)
x
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
64.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
38.2%1y
38.2%1x
38.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch90.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
6.892885998966688e-5
2739320.760848984
52.0ms
-15.219273668008684
-6.012425985851781e-9
Results
47.0ms304×0valid
Compiler

Compiled 358 to 239 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 19.0ms (68.7% of total)
ival-sub: 4.0ms (14.5% of total)
ival-add: 4.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
5.189320984097581e-92
3.2071640474448736e-91
23.0ms
-3.3511207630540145e-134
-4.229744517192605e-136
Results
23.0ms208×0valid
Compiler

Compiled 250 to 167 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.5% of total)
ival-sub: 3.0ms (31.2% of total)
ival-add: 3.0ms (31.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch64.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.4688072330107793e-302
5.9681302937799e-276
23.0ms
-9.468531988799336e-175
-1.0852206702178102e-176
Results
33.0ms288×0valid
Compiler

Compiled 322 to 227 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35.6% of total)
ival-div: 5.0ms (35.6% of total)
ival-add: 3.0ms (21.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch104.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.0572920933483232e+22
4.304778844212902e+22
35.0ms
1.4688072330107793e-302
5.9681302937799e-276
25.0ms
-9.468531988799336e-175
-1.0852206702178102e-176
22.0ms
-6.248556911694573e+78
-1.6015694985026622e+77
Results
53.0ms464×0valid
Compiler

Compiled 418 to 308 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 8.0ms (37.5% of total)
ival-sub: 6.0ms (28.1% of total)
ival-add: 6.0ms (28.1% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
3.0572920933483232e+22
4.304778844212902e+22
23.0ms
-6.248556911694573e+78
-1.6015694985026622e+77
Results
19.0ms176×0valid
Compiler

Compiled 148 to 110 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.3% of total)
ival-sub: 2.0ms (24.9% of total)
ival-add: 2.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×if-if-or-not
7×+-commutative
5×sub-neg
3×1-exp
3×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058399
185399
293399
398399
4101399
5102399
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 y x) z) (+.f64 (/.f64 y z) x)))
(if (<=.f64 y #s(literal -8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 2476978505269277/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (-.f64 x (/.f64 x z)) (+.f64 (/.f64 y z) x)))
(if (<=.f64 z #s(literal -7307033801660547/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 4080940984400823/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (<=.f64 z #s(literal -162000000000000000553214393597128861058632336506323967283621921821063167082496 binary64)) x (if (<=.f64 z #s(literal -3136677924615259/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 517735622840347/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 32000000000000000000000 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -229999999999999994754450491468355250086249908969306482356380381474731386208256 binary64)) x (if (<=.f64 z #s(literal 31500000000000001048576 binary64)) (/.f64 y z) x))
x
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 y x) z) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (+.f64 x (/.f64 y z)) (/.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 y #s(literal 2476978505269277/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (-.f64 x (/.f64 x z)) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 y #s(literal -8838154641319583/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (not (<=.f64 y #s(literal 2476978505269277/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)))) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z)))
(if (<=.f64 z #s(literal -7307033801660547/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 4080940984400823/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 z #s(literal -7307033801660547/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (not (<=.f64 z #s(literal 4080940984400823/5231975621026695903068481684863290090631859432155925817596437443214604741820977160611320209061014932263645863855239974732359107840294502166008094518895788478483675671300894035850134084503110909120094815504417224113077119759472054472248800754920440876255467030120381917802944253736633001385354330112 binary64)))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (<=.f64 z #s(literal -162000000000000000553214393597128861058632336506323967283621921821063167082496 binary64)) x (if (<=.f64 z #s(literal -3136677924615259/71288134650346800291268306339067051951456695425758748915299883092176174487635584164154887676833928121541286087087412614229511011271491218722697833120659596691437416786879139845044909253853184 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 517735622840347/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 32000000000000000000000 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -229999999999999994754450491468355250086249908969306482356380381474731386208256 binary64)) x (if (<=.f64 z #s(literal 31500000000000001048576 binary64)) (/.f64 y z) x))
x

soundness2.1s (14.2%)

Rules
1190×fma-define
791×fma-neg
648×distribute-lft-in
645×fma-neg
633×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053211776
1116611425
2387910591
0143477309442282
1377877309441380
036377
188341
2249341
3788341
42040341
54196341
64648341
74847341
84925341
94941341
105636341
115636341
125728341
136129341
Stop Event
1×done
1×saturated
1×node limit
1×node limit
Compiler

Compiled 307 to 130 computations (57.7% saved)

preprocess306.0ms (2.1%)

Compiler

Compiled 236 to 114 computations (51.7% saved)

end0.0ms (0%)

Profiling

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