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

Time bar (total: 5.8s)

analyze76.0ms (1.3%)

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: 48.0ms
ival-sub: 34.0ms (70.8% of total)
ival-add: 11.0ms (22.9% of total)
ival-div: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample758.0ms (13.1%)

Results
469.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-div: 71.0ms (39.2% of total)
ival-sub: 55.0ms (30.4% of total)
ival-add: 45.0ms (24.9% of total)
const: 7.0ms (3.9% of total)
backward-pass: 3.0ms (1.7% of total)
Bogosity

preprocess304.0ms (5.3%)

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))

explain63.0ms (1.1%)

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
39.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (38.1% of total)
ival-sub: 3.0ms (28.6% of total)
ival-add: 3.0ms (28.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (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)

localize80.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 6 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))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 x (/.f64 (-.f64 x y) z))
✓accuracy100.0%
(/.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
Results
15.0ms256×0valid
Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 3.0ms (57.8% of total)
ival-div: 2.0ms (38.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
3 → 81
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x y) z)>
#<alt (-.f64 x (/.f64 (-.f64 x y) z))>
#<alt (-.f64 x y)>
Outputs
#<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 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) 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
1.0ms
x
@inf
(- x (/ (- x y) z))
1.0ms
x
@-inf
(/ (- x y) z)
1.0ms
y
@-inf
(/ (- x y) z)
1.0ms
x
@inf
(/ (- x y) z)
0.0ms
x
@0
(- x (/ (- x y) z))

rewrite230.0ms (4%)

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 (-.f64 x y) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x y)
Outputs
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.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)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.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)))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) z)) x)
(+.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)

simplify154.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
053211776
1116611425
2387510591
Stop Event
1×node limit
Counts
326 → 332
Calls
Call 1
Inputs
(*.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 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) 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 (/.f64 x z) (neg.f64 (/.f64 y z)))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) z)))))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)))
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(fma.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)))) (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)))
(fma.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 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(fma.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))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(fma.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))) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(fma.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))) (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)))
(fma.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 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x y) z))) (sqrt.f64 (/.f64 (-.f64 x y) z)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z) x)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (neg.f64 z))) (cbrt.f64 (/.f64 (-.f64 x y) (neg.f64 z)))) (cbrt.f64 (/.f64 (-.f64 x y) (neg.f64 z))) x)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x y) (neg.f64 z))) (sqrt.f64 (/.f64 (-.f64 x y) (neg.f64 z))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 x y) (/.f64 (-.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (fma.f64 (/.f64 (-.f64 x y) (neg.f64 z)) #s(literal 1 binary64) (/.f64 (-.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.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)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) z))) (+.f64 (/.f64 (-.f64 x y) (neg.f64 z)) (/.f64 (-.f64 x y) z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 x y) z)) x)
(+.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 #s(literal -1 binary64) (/.f64 y z))
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) 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 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y 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 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.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 x (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.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 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.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 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z x))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 (neg.f64 y) z)
(/.f64 y (neg.f64 z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 (/.f64 x 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 y (+.f64 (/.f64 (/.f64 x 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 y (+.f64 (/.f64 (/.f64 x 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))
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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 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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)

eval42.0ms (0.7%)

Compiler

Compiled 5308 to 938 computations (82.3% saved)

prune65.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3257332
Fresh000
Picked101
Done000
Total3267333
Accuracy
100.0%
Counts
333 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.2%
(/.f64 (-.f64 y x) z)
▶39.8%
(/.f64 y z)
▶99.9%
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
72.6%
(-.f64 x (/.f64 (neg.f64 y) z))
▶62.3%
(-.f64 x (/.f64 x z))
62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
▶34.9%
x
Compiler

Compiled 114 to 76 computations (33.3% saved)

localize134.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(/.f64 (-.f64 y x) z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(-.f64 x (/.f64 x z))
✓cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 z (-.f64 x y))
✓cost-diff6464
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
✓cost-diff6464
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 y x)
✓accuracy100.0%
(/.f64 (-.f64 y x) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 x (/.f64 x z))
✓accuracy100.0%
(/.f64 y z)
accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 z (-.f64 x y))
✓accuracy99.7%
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
Rules
412×fma-neg
375×fma-define
106×div-sub
93×distribute-rgt-in
73×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
019228
131228
258228
3116216
4304216
5754216
61315216
72001216
82250216
92327216
102373216
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
x
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(/.f64 z (-.f64 x y))
z
(-.f64 x y)
y
#s(literal -1 binary64)
x
(/.f64 y z)
y
z
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
Outputs
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 x y))))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))
(-.f64 x (/.f64 (-.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 x y) z)
(/.f64 z (-.f64 x y))
z
(-.f64 x y)
y
#s(literal -1 binary64)
x
(/.f64 y z)
y
z
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
Results
45.0ms256×0valid
Compiler

Compiled 59 to 14 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (46.7% of total)
ival-pow: 7.0ms (29.7% of total)
ival-sub: 5.0ms (21.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.4%)

Counts
8 → 165
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))>
#<alt (/.f64 z (-.f64 x y))>
#<alt (-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))>
#<alt (/.f64 y z)>
#<alt (-.f64 x (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (/.f64 (-.f64 y x) z)>
#<alt (-.f64 y x)>
Outputs
#<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 #s(literal -1 binary64) (/.f64 z y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (/.f64 z x)>
#<alt (/.f64 (+.f64 z (/.f64 (*.f64 y z) x)) x)>
#<alt (/.f64 (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) x)>
#<alt (/.f64 (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y z) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) x)) x))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x))) x)) (*.f64 y z)) x))) x))>
#<alt (/.f64 z x)>
#<alt (+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y z) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))))) (/.f64 z x))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y z) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))))) (/.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x z) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x z) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 x z) y)) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (*.f64 x z)) y))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) y)) (*.f64 x z)) y))) 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 #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 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 #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)))))>
Calls

60 calls:

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

rewrite184.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1260×log1p-expm1-u
512×expm1-log1p-u
150×add-cube-cbrt
148×add-exp-log
148×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019170
1312158
25126158
Stop Event
1×node limit
Counts
8 → 313
Calls
Call 1
Inputs
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(/.f64 z (-.f64 x y))
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
(/.f64 y z)
(-.f64 x (/.f64 x z))
(/.f64 x z)
(/.f64 (-.f64 y x) z)
(-.f64 y x)
Outputs
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.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)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 x y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 z))
(/.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 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z (+.f64 x y)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.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))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))

simplify331.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
382×exp-prod
363×cube-prod
331×fma-define
291×*-commutative
277×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083715999
1203414804
2708014804
Stop Event
1×node limit
Counts
478 → 493
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.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) (/.f64 z y))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 4 binary64)))) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 z x)
(/.f64 (+.f64 z (/.f64 (*.f64 y z) x)) x)
(/.f64 (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) x)
(/.f64 (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 z x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 y z) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) z) x)) x))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) z) x))) x)) (*.f64 y z)) x))) x))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y z) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))))) (/.f64 z x))
(+.f64 (*.f64 y (-.f64 (*.f64 y (-.f64 (/.f64 (*.f64 y z) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))))) (/.f64 z x))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 x z) y)) y)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 x z) y) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (*.f64 x z) y)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) z) y)) (*.f64 x z)) y))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) z) y) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))) y)) (*.f64 x z)) y))) y))
(/.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 (-.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 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 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)))
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(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 x (/.f64 (neg.f64 x) z))
(+.f64 x (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (/.f64 (neg.f64 x) z) x)
(*.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 x (/.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x z) (+.f64 x (/.f64 x z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z)) (*.f64 x (/.f64 (neg.f64 x) z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (-.f64 x (/.f64 (neg.f64 x) z)))
(pow.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (/.f64 x z)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x z))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x z))))
(exp.f64 (log.f64 (-.f64 x (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 x) z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) y)
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
Outputs
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) 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 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(/.f64 x z)
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x z))
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)
(+.f64 (/.f64 y z) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 y x) z)
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 #s(literal -1 binary64) z) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 x z) #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 #s(literal -1 binary64) z) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 x z) #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 #s(literal -1 binary64) z) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 x z) #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 #s(literal -1 binary64) z) x (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (*.f64 (/.f64 x z) #s(literal 0 binary64)))
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(/.f64 (-.f64 y x) z)
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 y x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 x z))))
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(/.f64 (-.f64 y x) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(/.f64 (-.f64 y x) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 y x) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (-.f64 y x) z))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 y x) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(/.f64 (-.f64 y x) z)
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 y x) z)
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 y x) z)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 y x) z)
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (/.f64 (neg.f64 x) z))
(/.f64 (-.f64 y x) z)
(+.f64 y (neg.f64 x))
(-.f64 y x)
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 y x)
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 y x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (neg.f64 x) y)
(-.f64 y x)
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(-.f64 y x)
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(-.f64 y x)
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(-.f64 y x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(-.f64 y x)
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(-.f64 y x)
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 x y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 x y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x y)))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (neg.f64 y) x))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x y))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(-.f64 y x)
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(-.f64 y x)
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 y x)
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(-.f64 y x)
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (-.f64 y x))
(log.f64 (exp.f64 (-.f64 y x)))
(-.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y x))))
(-.f64 y x)
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(-.f64 y x)
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(-.f64 y x)
(exp.f64 (log.f64 (-.f64 y x)))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(-.f64 y x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(-.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(-.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(-.f64 y x)

eval124.0ms (2.1%)

Compiler

Compiled 8446 to 1987 computations (76.5% saved)

prune88.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6002602
Fresh022
Picked145
Done000
Total6018609
Accuracy
100.0%
Counts
609 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(/.f64 (-.f64 y x) z)
▶29.4%
(/.f64 (neg.f64 x) z)
✓39.8%
(/.f64 y z)
▶72.6%
(-.f64 x (/.f64 (neg.f64 y) z))
✓62.3%
(-.f64 x (/.f64 x z))
▶99.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
▶62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
✓34.9%
x
Compiler

Compiled 64 to 43 computations (32.8% saved)

localize236.0ms (4.1%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(/.f64 (neg.f64 x) 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 y)
cost-diff0
(/.f64 z (-.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
✓cost-diff128
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓cost-diff128
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
✓accuracy100.0%
(/.f64 (neg.f64 x) z)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(/.f64 (neg.f64 y) z)
✓accuracy100.0%
(-.f64 x (/.f64 (neg.f64 y) z))
✓accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
accuracy100.0%
(/.f64 z (-.f64 x y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓accuracy99.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
Rules
460×fma-define
383×fma-neg
113×times-frac
92×div-sub
63×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023269
146265
2101253
3270250
4605250
51318250
61874250
72146250
82200250
92233250
102238250
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
#s(literal 1 binary64)
(/.f64 z (-.f64 x y))
z
(-.f64 x y)
y
(-.f64 x (/.f64 (neg.f64 y) z))
x
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
Outputs
(*.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))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) z)
z
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y)))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
#s(literal 1 binary64)
(/.f64 z (-.f64 x y))
z
(-.f64 x y)
y
(-.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 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(neg.f64 x)
x
z
Results
48.0ms256×0valid
Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (51% of total)
ival-sub: 5.0ms (25.5% of total)
ival-mult: 2.0ms (10.2% of total)
ival-neg: 2.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.4%)

Counts
10 → 198
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))>
#<alt (neg.f64 y)>
#<alt (-.f64 x (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
#<alt (neg.f64 x)>
#<alt (/.f64 (neg.f64 x) z)>
Outputs
#<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 #s(literal -1 binary64) z)>
#<alt (/.f64 (-.f64 z #s(literal 1 binary64)) z)>
#<alt (/.f64 (-.f64 z #s(literal 1 binary64)) z)>
#<alt (/.f64 (-.f64 z #s(literal 1 binary64)) z)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<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 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 #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 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) 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 #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))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/ (neg x) z)
1.0ms
x
@0
(* x (- 1 (/ 1 z)))
0.0ms
x
@inf
(* x (- 1 (/ 1 z)))
0.0ms
z
@-inf
(* x (- 1 (/ 1 z)))
0.0ms
z
@0
(* x (- 1 (/ 1 z)))

rewrite182.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
1043×log1p-expm1-u
179×expm1-log1p-u
178×add-cube-cbrt
176×add-exp-log
175×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023192
1383157
26292157
Stop Event
1×node limit
Counts
10 → 347
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
(neg.f64 y)
(-.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 x)
(/.f64 (neg.f64 x) z)
Outputs
(+.f64 x (/.f64 x z))
(+.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -3 binary64))) x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 z #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(pow.f64 (+.f64 x (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 x z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(*.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))))
(*.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y z)) (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 x (/.f64 y z)))))
(/.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)) (+.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (+.f64 x (/.f64 y z))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64))) (neg.f64 (+.f64 x (/.f64 y z))))
(pow.f64 (+.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 (/.f64 y z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))

simplify265.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
551×associate-*l*
536×associate-*r*
433×fma-define
317×times-frac
268×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073213992
1154313178
2758913175
Stop Event
1×node limit
Counts
545 → 493
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x 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)
(/.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 #s(literal -1 binary64) z)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.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 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 (-.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 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)
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(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(neg.f64 (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) z)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 x z)) z)
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x z)) z)
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) z)) z)
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))
(-.f64 x (/.f64 x z))
(/.f64 #s(literal -1 binary64) z)
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(/.f64 (+.f64 z #s(literal -1 binary64)) z)
(+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(/.f64 (+.f64 z #s(literal -1 binary64)) z)
(+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
(/.f64 (-.f64 z #s(literal 1 binary64)) z)
(/.f64 (+.f64 z #s(literal -1 binary64)) z)
(+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(/.f64 (-.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) 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 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))
(/.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(/.f64 y (neg.f64 z))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.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 z))
(/.f64 y (neg.f64 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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)) (neg.f64 y))
(*.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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)) (neg.f64 y))
(*.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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)) (neg.f64 y))
(/.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))
(+.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))
(+.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))
(+.f64 x (/.f64 (-.f64 y x) 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 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.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 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))
(*.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 x z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (+.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 (neg.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.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 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y 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 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y 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 (neg.f64 x) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 y x) z)))))
(/.f64 (-.f64 y x) z)
(/.f64 (-.f64 (+.f64 y (*.f64 x z)) x) 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 (+.f64 y (*.f64 x z)) x) 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 (+.f64 y (*.f64 x z)) x) 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))
x
(-.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))
(+.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))
(+.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))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x 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 (-.f64 x 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 (-.f64 x 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 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))
(+.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))
(+.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))
(+.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 z y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(*.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 z y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(*.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 z y)))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x z)) y)))
(/.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 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.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 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.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 (neg.f64 y) (-.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 x z)) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(/.f64 y z)
(-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 x (/.f64 y z))
(-.f64 x (*.f64 #s(literal -1 binary64) (/.f64 y z)))
(+.f64 x (/.f64 y z))
(-.f64 x (*.f64 #s(literal -1 binary64) (/.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))
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(/.f64 y (neg.f64 z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y z))
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 y z)
(+.f64 #s(literal 0 binary64) x)
x
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x))
(*.f64 x #s(literal 1 binary64))
x
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 #s(literal 1 binary64) x)
x
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
x
(-.f64 #s(literal 0 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(*.f64 x (/.f64 #s(literal -1 binary64) z))
(/.f64 x (neg.f64 z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 x z)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 x (neg.f64 z))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.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)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(/.f64 x z)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (cbrt.f64 z)))
(*.f64 (*.f64 x (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 x z)
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(/.f64 x z)
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x z)
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(/.f64 x z)
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 x z)
(neg.f64 (/.f64 x z))
(/.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x z))
(log.f64 (exp.f64 (/.f64 x z)))
(/.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(/.f64 x z)
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(/.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #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 binary64))))
(/.f64 x z)
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (log.f64 (/.f64 x z)))
(/.f64 x z)
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 x z)

eval92.0ms (1.6%)

Compiler

Compiled 9261 to 2328 computations (74.9% saved)

prune105.0ms (1.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New7002702
Fresh000
Picked224
Done044
Total7028710
Accuracy
100.0%
Counts
710 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(/.f64 (-.f64 y x) z)
✓29.4%
(/.f64 (neg.f64 x) z)
✓39.8%
(/.f64 y z)
✓62.3%
(-.f64 x (/.f64 x z))
▶62.2%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
▶72.6%
(+.f64 (/.f64 y z) x)
✓62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
✓34.9%
x
Compiler

Compiled 61 to 41 computations (32.8% saved)

localize137.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z x))
✓cost-diff128
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 (/.f64 y z) x)
✓accuracy100.0%
(/.f64 z x)
✓accuracy100.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(+.f64 (/.f64 y z) x)
Rules
309×fma-define
190×fma-neg
61×div-sub
59×times-frac
42×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015116
126116
242104
381104
4152104
5260104
6466104
7599104
8834104
91127104
101309104
111409104
121416104
131423104
141428104
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
x
(/.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
Outputs
(+.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(-.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(-.f64 x (/.f64 x z))
x
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
#s(literal 1 binary64)
(/.f64 z x)
z
Results
40.0ms256×0valid
Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (66.3% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 84
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 y z) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 z x))>
#<alt (-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))>
#<alt (/.f64 z x)>
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 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 (/.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 (-.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)))>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(/ z x)
0.0ms
z
@0
(/ z x)
0.0ms
x
@0
(/ z x)
0.0ms
z
@inf
(/ z x)
0.0ms
x
@-inf
(/ z x)

rewrite318.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
1150×log1p-expm1-u
1150×expm1-log1p-u
370×fma-define
192×fma-neg
184×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01582
120970
2316370
Stop Event
1×node limit
Counts
4 → 226
Calls
Call 1
Inputs
(+.f64 (/.f64 y z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 z x)
Outputs
(-.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))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y z) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) x)) (sqrt.f64 (+.f64 (/.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y z) x) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 x z))) (cbrt.f64 (neg.f64 (/.f64 x z)))) (cbrt.f64 (neg.f64 (/.f64 x z))) x)
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 (/.f64 x z))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #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))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))

simplify237.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
529×associate-/r*
317×fma-neg
253×distribute-lft-in
245×distribute-rgt-in
210×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04578319
19887884
228267498
Stop Event
1×node limit
Counts
310 → 251
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 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)
(/.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 (-.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 #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 (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))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y z) x)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y z) x)) (sqrt.f64 (+.f64 (/.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y z) x) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 y (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 y z) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 x (/.f64 y z)))
(pow.f64 (+.f64 (/.f64 y z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 y z) x))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y z) x)))
(exp.f64 (log.f64 (+.f64 (/.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 y z) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 y z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 y z))
(fma.f64 (cbrt.f64 (/.f64 y z)) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) x)
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z) x)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 (sqrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(neg.f64 (neg.f64 (/.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x) (log.f64 z)))
(+.f64 x (neg.f64 (/.f64 x z)))
(+.f64 x (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(+.f64 (neg.f64 (/.f64 x z)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))
(*.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))))
(*.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 x z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 x (/.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 x z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 x z))) (*.f64 x (neg.f64 (/.f64 x z))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 x z)) (neg.f64 (/.f64 x z)))) (+.f64 x (/.f64 x z)))
(pow.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (/.f64 x z)))))
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x z))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x z))))
(exp.f64 (log.f64 (-.f64 x (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x z)) x)
(fma.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (-.f64 x (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x z))) x)
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 x z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 (sqrt.f64 (/.f64 x z))) x)
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 x z))) (sqrt.f64 (-.f64 x (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (+.f64 x (/.f64 x z)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 x z))) (cbrt.f64 (neg.f64 (/.f64 x z)))) (cbrt.f64 (neg.f64 (/.f64 x z))) x)
(fma.f64 (sqrt.f64 (neg.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 (/.f64 x z))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (+.f64 (neg.f64 (/.f64 x z)) (/.f64 x z)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z))) (fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) z) (/.f64 x z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) x)
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (/.f64 x z) #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))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.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)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))
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(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (sqrt.f64 (/.f64 z x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (cbrt.f64 (/.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(neg.f64 (/.f64 (neg.f64 z) x))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(log.f64 (exp.f64 (/.f64 z x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(log1p.f64 (expm1.f64 (/.f64 z x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (log.f64 (/.f64 z x)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(/.f64 z x)

eval41.0ms (0.7%)

Compiler

Compiled 3647 to 686 computations (81.2% saved)

prune94.0ms (1.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2910291
Fresh000
Picked022
Done066
Total2918299
Accuracy
100.0%
Counts
299 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(/.f64 (-.f64 y x) z)
✓29.4%
(/.f64 (neg.f64 x) z)
✓39.8%
(/.f64 y z)
✓62.3%
(-.f64 x (/.f64 x z))
✓62.2%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
✓72.6%
(+.f64 (/.f64 y z) x)
✓62.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
✓34.9%
x
Compiler

Compiled 139 to 72 computations (48.2% saved)

regimes20.0ms (0.4%)

Counts
13 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z x)))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 x y))))
(-.f64 x (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
Calls

4 calls:

6.0ms
y
5.0ms
z
4.0ms
x
4.0ms
(+.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)

regimes11.0ms (0.2%)

Counts
8 → 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))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
Outputs
(+.f64 (/.f64 y z) x)
(/.f64 (-.f64 y x) z)
(+.f64 (/.f64 y z) x)
Calls

3 calls:

4.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
86.9%3x
86.2%3y
98.5%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (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 x (/.f64 x z))
(+.f64 (/.f64 y z) x)
(-.f64 x (/.f64 x z))
Calls

2 calls:

2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
86.9%3x
78.1%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (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:

3.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
78.1%3z
72.6%1y
72.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (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:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
56.9%4x
57.4%5y
66.8%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
61.2%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (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:

3.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
34.9%1y
34.9%1x
34.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch27.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.7757981539248046e-11
8005957.531117128
12.0ms
-2.2212633239193207
-0.0015252855357267222
Results
14.0ms288×0valid
Compiler

Compiled 340 to 227 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (34.4% of total)
ival-div: 2.0ms (34.4% of total)
ival-add: 2.0ms (34.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.968963142518868e+89
1.0149283655669412e+101
11.0ms
-2.968068794691333e-79
-8.485022974310556e-84
Results
15.0ms288×0valid
Compiler

Compiled 340 to 227 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.9% of total)
ival-sub: 2.0ms (29.9% of total)
ival-add: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.047814427433434e-270
6.662268237746305e-265
6.0ms
-1.3600226924922205e-77
-6.768302783640289e-78
Results
13.0ms224×0valid
Compiler

Compiled 254 to 179 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (44.2% of total)
ival-sub: 1.0ms (22.1% of total)
ival-add: 1.0ms (22.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.9425713182596005e+76
1.2489779670517466e+79
6.0ms
6.691859185821378e-297
2.474608274738456e-296
6.0ms
-1.3600226924922205e-77
-6.768302783640289e-78
11.0ms
-2.2212633239193207
-0.0015252855357267222
Results
21.0ms416×0valid
Compiler

Compiled 358 to 265 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (35.8% of total)
ival-div: 3.0ms (35.8% of total)
ival-add: 2.0ms (23.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.9425713182596005e+76
1.2489779670517466e+79
12.0ms
-2.2212633239193207
-0.0015252855357267222
Results
13.0ms256×0valid
Compiler

Compiled 208 to 155 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.7% of total)
ival-div: 2.0ms (37.7% of total)
ival-add: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.3%)

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
056399
183399
291399
396399
499399
5100399
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 x #s(literal -604918203532289/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) (+.f64 (/.f64 y z) x) (-.f64 x (/.f64 x z))))
(if (<=.f64 z #s(literal -3285331622632259/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 7435084542388915/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (<=.f64 z #s(literal -2476979795053773/1125899906842624 binary64)) x (if (<=.f64 z #s(literal -5840589551346239/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 1748795881594061/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 19499999999999999471428382837065409000775339638293587720360789188538034814976 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -2476979795053773/1125899906842624 binary64)) x (if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 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 x #s(literal -604918203532289/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (-.f64 x (/.f64 x z)) (if (<=.f64 x #s(literal 880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)) (+.f64 (/.f64 y z) x) (-.f64 x (/.f64 x z))))
(if (or (<=.f64 x #s(literal -604918203532289/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (not (<=.f64 x #s(literal 880000000000000006691047076269543113712096576720681646768983853644754447115388725476982784 binary64)))) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -3285331622632259/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (+.f64 (/.f64 y z) x) (if (<=.f64 z #s(literal 7435084542388915/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)) (/.f64 (neg.f64 x) z) (+.f64 (/.f64 y z) x)))
(if (or (<=.f64 z #s(literal -3285331622632259/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (not (<=.f64 z #s(literal 7435084542388915/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (or (<=.f64 z #s(literal -3285331622632259/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (not (<=.f64 z #s(literal 7435084542388915/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776 binary64)))) (+.f64 x (/.f64 y z)) (/.f64 x (neg.f64 z)))
(if (<=.f64 z #s(literal -2476979795053773/1125899906842624 binary64)) x (if (<=.f64 z #s(literal -5840589551346239/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 1748795881594061/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (/.f64 (neg.f64 x) z) (if (<=.f64 z #s(literal 19499999999999999471428382837065409000775339638293587720360789188538034814976 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -2476979795053773/1125899906842624 binary64)) x (if (<=.f64 z #s(literal -5840589551346239/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (/.f64 y z) (if (<=.f64 z #s(literal 1748795881594061/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (/.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 19499999999999999471428382837065409000775339638293587720360789188538034814976 binary64)) (/.f64 y z) x))))
(if (<=.f64 z #s(literal -2476979795053773/1125899906842624 binary64)) x (if (<=.f64 z #s(literal 55000000000000000981369353015810551861615715402103866681329908659147537121280 binary64)) (/.f64 y z) x))
x

soundness1.1s (19.2%)

Rules
1190×fma-define
1043×log1p-expm1-u
791×fma-neg
645×fma-neg
382×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083715999
1203414804
2708014804
023192
1383157
26292157
053211776
1116611425
2387510591
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
1×node limit
Compiler

Compiled 275 to 114 computations (58.5% saved)

preprocess47.0ms (0.8%)

Compiler

Compiled 236 to 110 computations (53.4% saved)

end0.0ms (0%)

Profiling

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