Diagrams.Backend.Cairo.Internal:setTexture from diagrams-cairo-1.3.0.3

Time bar (total: 7.5s)

analyze29.0ms (0.4%)

Algorithm
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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (16.4%)

Results
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Bogosity

preprocess558.0ms (7.4%)

Algorithm
egg-herbie
Rules
1760×fma-neg
1632×fma-define
1276×times-frac
1192×div-sub
860×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
560-2(6.411396102543072e-177 1.1431661318587675e-141 7.498755455707012e-188)(/.f64 (*.f64 x (-.f64 y z)) y)
00-0-(*.f64 x (-.f64 y z))
00-0-x
00-0-z
00-0-(-.f64 y z)
00-0-y
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
036385
190369
2286319
31228308
43445308
55188308
66721308
77150308
87333308
97341306
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 x (-.f64 y z)) y)
(/.f64 (*.f64 (neg.f64 x) (-.f64 y z)) y)
(/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 (*.f64 x (-.f64 y (neg.f64 z))) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 y z)) y))
(neg.f64 (/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (-.f64 y (neg.f64 z))) y))
(/.f64 (*.f64 y (-.f64 x z)) x)
(/.f64 (*.f64 z (-.f64 y x)) y)
(/.f64 (*.f64 x (-.f64 z y)) z)
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 y z)) y)
(*.f64 (neg.f64 x) (/.f64 (-.f64 y z) y))
(*.f64 (-.f64 y z) (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (-.f64 z y) y))
(*.f64 x (+.f64 -1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 y))
(*.f64 x (/.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(*.f64 x (+.f64 1 (/.f64 z y)))
(*.f64 x (+.f64 (/.f64 z y) 1))
(fma.f64 x (/.f64 z y) x)
(/.f64 (*.f64 x (-.f64 y (neg.f64 z))) y)
(*.f64 x (/.f64 (-.f64 (neg.f64 y) z) (neg.f64 y)))
(*.f64 x (+.f64 1 (/.f64 z y)))
(*.f64 x (+.f64 (/.f64 z y) 1))
(fma.f64 x (/.f64 z y) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 y z)) y))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(neg.f64 (/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 y)))
(/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 (neg.f64 y)))
(*.f64 x (/.f64 (+.f64 y z) (neg.f64 y)))
(*.f64 (neg.f64 x) (+.f64 1 (/.f64 z y)))
(*.f64 x (-.f64 -1 (/.f64 z y)))
(neg.f64 (/.f64 (*.f64 x (-.f64 y (neg.f64 z))) y))
(/.f64 (*.f64 x (-.f64 (neg.f64 y) z)) (neg.f64 (neg.f64 y)))
(*.f64 x (/.f64 (+.f64 y z) (neg.f64 y)))
(*.f64 (neg.f64 x) (+.f64 1 (/.f64 z y)))
(*.f64 x (-.f64 -1 (/.f64 z y)))
(/.f64 (*.f64 y (-.f64 x z)) x)
(*.f64 y (/.f64 (-.f64 x z) x))
(*.f64 (-.f64 x z) (/.f64 y x))
(*.f64 y (-.f64 1 (/.f64 z x)))
(/.f64 (*.f64 z (-.f64 y x)) y)
(*.f64 z (/.f64 (-.f64 y x) y))
(*.f64 (-.f64 y x) (/.f64 z y))
(*.f64 z (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 1 (/.f64 y z)))
Symmetry

(negabs x)

Compiler

Compiled 54 to 20 computations (63% saved)

eval1.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 20 to 13 computations (35% saved)

localize84.0ms (1.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 y z))
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
Compiler

Compiled 41 to 14 computations (65.9% saved)

series49.0ms (0.6%)

Counts
3 → 72
Calls

27 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0ms
y
@inf
(/.f64 (*.f64 x (-.f64 y z)) y)
3.0ms
z
@0
(*.f64 x (-.f64 1 (/.f64 z y)))
3.0ms
y
@-inf
(*.f64 x (-.f64 1 (/.f64 z y)))
3.0ms
x
@0
(*.f64 x (-.f64 1 (/.f64 z y)))

rewrite306.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1498×prod-diff
810×log1p-expm1-u
810×expm1-log1p-u
588×fma-define
260×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01681
122581
2326581
Stop Event
node limit
Counts
3 → 102
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
Outputs
(+.f64 x (*.f64 x (/.f64 z (neg.f64 y))))
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y))))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (fma.f64 (/.f64 z y) (+.f64 1 (/.f64 z y)) 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (fma.f64 (/.f64 z y) (+.f64 1 (/.f64 z y)) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))
(pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 1))
(fma.f64 x 1 (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 x 1 (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 1 x (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 1 x (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z (neg.f64 y)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y)))) 1)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 1 (*.f64 x (/.f64 (-.f64 y z) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))
(*.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (-.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))
(*.f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2)
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
(neg.f64 (/.f64 (*.f64 x (-.f64 y z)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (-.f64 y z))) y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 1))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))
(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))) 1))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))

simplify115.0ms (1.5%)

Algorithm
egg-herbie
Rules
912×distribute-rgt-in
912×distribute-lft-in
884×unswap-sqr
552×log-prod
512×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02455545
16074772
222544772
Stop Event
node limit
Counts
174 → 123
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 -1 (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(*.f64 -1 (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(*.f64 -1 (*.f64 x z))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x z)) (*.f64 x y))
(+.f64 x (*.f64 x (/.f64 z (neg.f64 y))))
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y))))) 1)
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (fma.f64 (/.f64 z y) (+.f64 1 (/.f64 z y)) 1))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (fma.f64 (/.f64 z y) (+.f64 1 (/.f64 z y)) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))
(pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 1))
(fma.f64 x 1 (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 x 1 (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 1 x (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 1 x (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 z (neg.f64 y)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y)))) 1)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 1 (*.f64 x (/.f64 (-.f64 y z) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))
(*.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (-.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))
(*.f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 2)
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
(neg.f64 (/.f64 (*.f64 x (-.f64 y z)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (-.f64 y z))) y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 1))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))
(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))) 1))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))
Outputs
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 x (neg.f64 y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 x (neg.f64 y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 x (neg.f64 y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 x (neg.f64 y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
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(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(exp.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (-.f64 y z) y))) 1))
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)
(*.f64 x (-.f64 y z))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (/.f64 x (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y 2) (pow.f64 z 2))) (+.f64 z y))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (+.f64 z y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 z (+.f64 z y) (pow.f64 y 2)))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) (/.f64 x (fma.f64 z (+.f64 z y) (pow.f64 y 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) x) (+.f64 z y))
(*.f64 x (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) (+.f64 z y)))
(pow.f64 (*.f64 x (-.f64 y z)) 1)
(*.f64 x (-.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)
(*.f64 x (-.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)
(*.f64 x (-.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)
(*.f64 x (-.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))
(*.f64 x (-.f64 y z))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))
(*.f64 x (-.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))
(*.f64 x (-.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(*.f64 x (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y z))) 1))
(*.f64 x (-.f64 y z))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 y x (*.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))

eval23.0ms (0.3%)

Compiler

Compiled 1439 to 534 computations (62.9% saved)

prune26.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1158123
Fresh000
Picked022
Done000
Total11510125
Accuracy
100.0%
Counts
125 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
47.2%
(/.f64 (*.f64 x (neg.f64 z)) y)
34.7%
(/.f64 (*.f64 x y) y)
92.5%
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
87.9%
(*.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))
94.6%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
48.4%
(*.f64 (neg.f64 z) (/.f64 x y))
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
49.6%
x
Compiler

Compiled 178 to 115 computations (35.4% saved)

localize89.0ms (1.2%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (-.f64 y z))
99.7%
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
79.8%
(/.f64 y (*.f64 x (-.f64 y z)))
100.0%
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
90.7%
(/.f64 (*.f64 x (neg.f64 z)) y)
93.9%
(*.f64 (neg.f64 z) (/.f64 x y))
100.0%
(/.f64 (-.f64 y z) y)
97.4%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
97.2%
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
Compiler

Compiled 102 to 20 computations (80.4% saved)

series74.0ms (1%)

Counts
8 → 252
Calls

69 calls:

TimeVariablePointExpression
18.0ms
z
@inf
(/.f64 (*.f64 x (neg.f64 z)) y)
3.0ms
z
@inf
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
2.0ms
y
@0
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
2.0ms
x
@-inf
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
1.0ms
z
@0
(*.f64 (neg.f64 z) (/.f64 x y))

rewrite188.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1111×log1p-expm1-u
376×associate-*r*
244×associate-*l*
240×times-frac
178×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025237
1411209
26260209
Stop Event
node limit
Counts
8 → 337
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(/.f64 (-.f64 y z) y)
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(/.f64 y (*.f64 x (-.f64 y z)))
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))) 1)
(/.f64 (sqrt.f64 x) (/.f64 y (+.f64 y z)))
(/.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) (+.f64 y z))))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 y z)) y)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (+.f64 y z))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (+.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 (*.f64 (+.f64 (neg.f64 y) z) (sqrt.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 y z)) 1) y)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (+.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) 2)
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 1 (/.f64 z y)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 z y)) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y))))) 1)
(/.f64 x (/.f64 y (+.f64 y z)))
(/.f64 (*.f64 x (+.f64 y z)) y)
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 1 (/.f64 (/.f64 y x) (+.f64 y z)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 1))
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 y z)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) 1) y)
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) -1)
(pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 2) -1/2)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 y z))) (log.f64 y)))
(+.f64 1 (/.f64 z y))
(-.f64 1 (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 z y)))) 1)
(*.f64 (+.f64 y z) (/.f64 1 y))
(*.f64 (+.f64 1 (/.f64 z y)) 1)
(*.f64 1 (+.f64 1 (/.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 z y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 z y))) 2) (cbrt.f64 (+.f64 1 (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (/.f64 (cbrt.f64 (+.f64 y z)) y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (*.f64 (cbrt.f64 (+.f64 y z)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 z y))) (sqrt.f64 (+.f64 1 (/.f64 z y))))
(*.f64 (sqrt.f64 (+.f64 y z)) (/.f64 (sqrt.f64 (+.f64 y z)) y))
(*.f64 (sqrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) (/.f64 1 y)))
(*.f64 (+.f64 (neg.f64 y) z) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (+.f64 y z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 1 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y z)) 1) (/.f64 (sqrt.f64 (+.f64 y z)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 y)))
(pow.f64 (+.f64 1 (/.f64 z y)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 z y))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 z y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 z y))) 2)
(pow.f64 (/.f64 y (+.f64 y z)) -1)
(neg.f64 (/.f64 (+.f64 y z) (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 y) z) y))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 z y)) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 z y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 z y))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 z y))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 z y))) 1))
(-.f64 0 (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(/.f64 z (/.f64 y x))
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) (neg.f64 y))
(/.f64 (*.f64 x z) (neg.f64 (neg.f64 y)))
(/.f64 -1 (/.f64 (/.f64 y x) z))
(/.f64 1 (/.f64 (/.f64 y x) z))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) z) 1))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) 1) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (/.f64 (/.f64 y x) z) -1)
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(-.f64 0 (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(*.f64 x (/.f64 z y))
(*.f64 x (*.f64 (/.f64 1 y) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 z (/.f64 x y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) z)
(*.f64 (*.f64 x z) (/.f64 1 y))
(*.f64 (*.f64 x z) (/.f64 1 (neg.f64 y)))
(*.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 -1 (*.f64 x (/.f64 z y)))
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 (cbrt.f64 (*.f64 x z)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 1 y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 1 y) (*.f64 x z))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)))
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(*.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) -1) z)
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(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
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(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
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(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
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(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
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(/.f64 (pow.f64 (fma.f64 z (/.f64 x y) x) 2) (fma.f64 z (/.f64 x y) x))
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(cbrt.f64 (pow.f64 (fma.f64 z (/.f64 x y) x) 3))
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(log1p.f64 (expm1.f64 (fma.f64 z (/.f64 x y) x)))
(exp.f64 (log.f64 (fma.f64 z (/.f64 x y) x)))
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(fma.f64 x (/.f64 z y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 z y)))
(fma.f64 z (/.f64 x y) x)
(fma.f64 (/.f64 x y) z x)
(fma.f64 (*.f64 x z) (/.f64 1 y) x)
(fma.f64 1 x (*.f64 x (/.f64 z y)))
(fma.f64 1 (*.f64 x (/.f64 z y)) x)
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 z y)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y x) (+.f64 y z)))) 1)
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(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 x) (+.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 x) (+.f64 y z))))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (+.f64 (neg.f64 y) z))))
(*.f64 (/.f64 y x) (/.f64 1 (+.f64 y z)))
(*.f64 (/.f64 (/.f64 1 x) (+.f64 y z)) y)
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(*.f64 (/.f64 1 (+.f64 y z)) (/.f64 y x))
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x (+.f64 y z)))) (/.f64 y (sqrt.f64 (*.f64 x (+.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (+.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (+.f64 y z)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x (+.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 x (+.f64 y z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x (+.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (+.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 y) (+.f64 y z)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x (+.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x (+.f64 y z)))))
(*.f64 (/.f64 (/.f64 y x) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (+.f64 y z) 2)) (+.f64 y z))
(pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 1)
(pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)
(neg.f64 (/.f64 y (*.f64 x (+.f64 (neg.f64 y) z))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (+.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y x) (+.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (+.f64 y z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(exp.f64 (log.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y))))) 1)
(*.f64 x (+.f64 1 (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))
(*.f64 (+.f64 y z) (/.f64 x y))
(*.f64 (+.f64 1 (/.f64 z y)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (sqrt.f64 x))
(*.f64 (/.f64 x y) (+.f64 y z))
(*.f64 (*.f64 x (+.f64 y z)) (/.f64 1 y))
(*.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 1)
(*.f64 1 (*.f64 x (+.f64 1 (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 1 (/.f64 z y)) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (/.f64 z y))))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 1 y) (*.f64 x (+.f64 y z)))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 y z)) -1))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (+.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (+.f64 1 (/.f64 z y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (+.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 y z) 1) (/.f64 x y))
(*.f64 (/.f64 (+.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 y)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (+.f64 (neg.f64 y) z)))
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(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 1 (/.f64 z y)) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 x (/.f64 y (+.f64 y z)))
(/.f64 (*.f64 x (+.f64 y z)) y)
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 1 (/.f64 (/.f64 y x) (+.f64 y z)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 1))
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 y z)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) 1) y)
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 y z))) (log.f64 y)))

simplify209.0ms (2.8%)

Algorithm
egg-herbie
Rules
886×associate-*r*
792×associate-*l*
772×fma-define
584×associate-*r/
548×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074020933
1205619017
Stop Event
node limit
Counts
589 → 432
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(sqrt.f64 x)
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(*.f64 (/.f64 (sqrt.f64 y) (+.f64 y z)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x (+.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x (+.f64 y z)))))
(*.f64 (/.f64 (/.f64 y x) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (+.f64 y z) 2)) (+.f64 y z))
(pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 1)
(pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)
(neg.f64 (/.f64 y (*.f64 x (+.f64 (neg.f64 y) z))))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 x (+.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y x) (+.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (+.f64 y z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(exp.f64 (log.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y))))) 1)
(*.f64 x (+.f64 1 (/.f64 z y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))
(*.f64 (+.f64 y z) (/.f64 x y))
(*.f64 (+.f64 1 (/.f64 z y)) x)
(*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (sqrt.f64 x))
(*.f64 (/.f64 x y) (+.f64 y z))
(*.f64 (*.f64 x (+.f64 y z)) (/.f64 1 y))
(*.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 1)
(*.f64 1 (*.f64 x (+.f64 1 (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 1 (/.f64 z y)) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 1 (/.f64 z y))))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 1 y) (*.f64 x (+.f64 y z)))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 (/.f64 1 x) (+.f64 y z)) -1))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (+.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (+.f64 1 (/.f64 z y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (+.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (+.f64 y z) 1) (/.f64 x y))
(*.f64 (/.f64 (+.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (+.f64 (neg.f64 y) z)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 z y))) 2)) (cbrt.f64 (+.f64 1 (/.f64 z y))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (/.f64 z y)))) (sqrt.f64 (+.f64 1 (/.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (pow.f64 (+.f64 1 (/.f64 z y)) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(/.f64 x (/.f64 y (+.f64 y z)))
(/.f64 (*.f64 x (+.f64 y z)) y)
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 1 (/.f64 (/.f64 y x) (+.f64 y z)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (+.f64 y z)) 1))
(/.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (neg.f64 y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 y z)))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) 1) y)
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (/.f64 z y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 z y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 y z))) (log.f64 y)))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 z) y))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 z) y))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 x) (/.f64 (neg.f64 z) y))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(+.f64 (sqrt.f64 x) (*.f64 -1 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(+.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 z y))))
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 y z))) y))
(neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 y z) (pow.f64 (sqrt.f64 -1) 2)) y)))
(*.f64 (neg.f64 x) (*.f64 -1 (-.f64 1 (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 y z))) y))
(neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 y z) (pow.f64 (sqrt.f64 -1) 2)) y)))
(*.f64 (neg.f64 x) (*.f64 -1 (-.f64 1 (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 y z))) y))
(neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 y z) (pow.f64 (sqrt.f64 -1) 2)) y)))
(*.f64 (neg.f64 x) (*.f64 -1 (-.f64 1 (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 y z))) y))
(neg.f64 (*.f64 x (/.f64 (*.f64 (-.f64 y z) (pow.f64 (sqrt.f64 -1) 2)) y)))
(*.f64 (neg.f64 x) (*.f64 -1 (-.f64 1 (/.f64 z y))))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 -1 (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 z)) y)
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 1 (/.f64 z y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(*.f64 x (/.f64 (-.f64 y z) y))
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(/.f64 (sqrt.f64 (fma.f64 x (/.f64 z y) x)) (sqrt.f64 (/.f64 (/.f64 y (+.f64 z y)) x)))
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) 1) y)
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(/.f64 (/.f64 (*.f64 x (+.f64 y z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (+.f64 y z))))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 z y) 1)) 2))
(fabs.f64 (fma.f64 x (/.f64 z y) x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (/.f64 z y))))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y))))))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 z y)) 3)))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) 1)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 1 (/.f64 z y))) 3) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) 1)) 3) (pow.f64 x 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 y 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 z y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (/.f64 z y) 1))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 z y) x)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 1))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)
(exp.f64 (-.f64 (log.f64 (*.f64 x (+.f64 y z))) (log.f64 y)))
(*.f64 (+.f64 z y) (/.f64 x y))
(fma.f64 x (/.f64 z y) x)

eval147.0ms (2%)

Compiler

Compiled 7011 to 3050 computations (56.5% saved)

prune119.0ms (1.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4594463
Fresh123
Picked325
Done022
Total46310473
Accuracy
100.0%
Counts
473 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.1%
(pow.f64 (/.f64 (neg.f64 y) (*.f64 x z)) -1)
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
47.2%
(/.f64 (*.f64 x (neg.f64 z)) y)
34.7%
(/.f64 (*.f64 x y) y)
48.6%
(/.f64 -1 (/.f64 (/.f64 y x) z))
95.1%
(-.f64 x (*.f64 x (/.f64 z y)))
48.4%
(*.f64 (neg.f64 z) (/.f64 x y))
46.9%
(*.f64 x (/.f64 z (neg.f64 y)))
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
49.6%
x
Compiler

Compiled 147 to 98 computations (33.3% saved)

localize81.0ms (1.1%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
98.9%
(/.f64 -1 (/.f64 (/.f64 y x) z))
93.9%
(/.f64 (/.f64 y x) z)
90.7%
(/.f64 (*.f64 x (neg.f64 z)) y)
87.9%
(*.f64 x (/.f64 z (neg.f64 y)))
72.3%
(/.f64 (*.f64 x y) y)
100.0%
(-.f64 x (*.f64 x (/.f64 z y)))
87.9%
(*.f64 x (/.f64 z y))
Compiler

Compiled 81 to 20 computations (75.3% saved)

series33.0ms (0.4%)

Counts
6 → 204
Calls

51 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(-.f64 x (*.f64 x (/.f64 z y)))
1.0ms
z
@inf
(/.f64 (/.f64 y x) z)
1.0ms
y
@-inf
(/.f64 (/.f64 y x) z)
1.0ms
y
@0
(/.f64 (/.f64 y x) z)
1.0ms
y
@inf
(/.f64 (/.f64 y x) z)

rewrite221.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
882×log1p-expm1-u
626×expm1-log1p-u
290×associate-*r*
244×times-frac
202×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022141
1342120
25723120
Stop Event
node limit
Counts
6 → 293
Calls
Call 1
Inputs
(*.f64 x (/.f64 z y))
(-.f64 x (*.f64 x (/.f64 z y)))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (/.f64 y x) z)
(/.f64 -1 (/.f64 (/.f64 y x) z))
Outputs
(-.f64 0 (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (/.f64 z y) (/.f64 -1 x))
(/.f64 -1 (/.f64 y (*.f64 x z)))
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 z))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 z 1) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (/.f64 (*.f64 x z) -1) y)
(/.f64 (/.f64 (*.f64 x z) 1) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 y (*.f64 x z)))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (/.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 y x))))
(+.f64 x (*.f64 x (/.f64 z y)))
(+.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (fma.f64 (/.f64 z y) x (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (fma.f64 x (/.f64 z y) (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (fma.f64 (*.f64 x (/.f64 z y)) 1 (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) (sqrt.f64 (*.f64 x (/.f64 z y))) (*.f64 x (/.f64 z y))))
(+.f64 (*.f64 x (/.f64 z y)) x)
(*.f64 x (+.f64 1 (/.f64 z y)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(*.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 1)
(*.f64 1 (*.f64 x (+.f64 1 (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2) (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (*.f64 (pow.f64 x 2) (/.f64 z y)))))
(*.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (/.f64 1 (*.f64 x (+.f64 1 (/.f64 z y)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))))
(*.f64 (+.f64 (/.f64 z y) 1) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (*.f64 (pow.f64 x 2) (/.f64 z y))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1 (/.f64 z y))) (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (*.f64 (pow.f64 x 2) (/.f64 z y))))
(/.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (*.f64 x (+.f64 1 (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2) (*.f64 (pow.f64 x 2) (/.f64 z y)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2)) (neg.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (+.f64 (pow.f64 x 2) (-.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) (*.f64 (pow.f64 x 2) (/.f64 z y)))))
(pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 2))
(log.f64 (exp.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1 (/.f64 z y))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 z y)))) 1))
(fma.f64 1 x (*.f64 x (/.f64 z y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 z y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 z y)))
(-.f64 0 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 y (/.f64 x y))
(*.f64 (*.f64 x y) (/.f64 -1 y))
(*.f64 -1 x)
(*.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 (cbrt.f64 (*.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 -1 y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 -1 y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 -1 y) (*.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 x 1) 1)
(*.f64 (/.f64 y 1) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (/.f64 -1 x) -1)
(neg.f64 x)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(log.f64 (/.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(-.f64 0 (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 (/.f64 z y) (/.f64 -1 x))
(/.f64 -1 (/.f64 y (*.f64 x z)))
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 (/.f64 x y) (/.f64 1 z))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 z 1) (/.f64 y x))
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (/.f64 (*.f64 x z) -1) y)
(/.f64 (/.f64 (*.f64 x z) 1) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 y (*.f64 x z)))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (/.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 y x))))
(-.f64 0 (/.f64 y (*.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) 1)
(*.f64 y (/.f64 (/.f64 -1 x) z))
(*.f64 y (/.f64 1 (*.f64 x z)))
(*.f64 y (*.f64 (/.f64 -1 x) (/.f64 1 z)))
(*.f64 (/.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 y x) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 y x) (neg.f64 (/.f64 1 z)))
(*.f64 (/.f64 y x) (/.f64 (/.f64 1 z) -1))
(*.f64 (/.f64 y (*.f64 x z)) -1)
(*.f64 (/.f64 y (*.f64 x z)) 1)
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(*.f64 1 (/.f64 y (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2) (cbrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2) (neg.f64 (cbrt.f64 (/.f64 y (*.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2) (/.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) -1))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (*.f64 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 1 z)))
(*.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x z)))))
(*.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) (/.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) -1))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (*.f64 x z)))
(*.f64 (/.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 -1 x) (sqrt.f64 z)))
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(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 -1 x) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
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(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x z)))) (sqrt.f64 (/.f64 y (*.f64 x z))))
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(neg.f64 (/.f64 y (*.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 x z)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) 1))
(-.f64 0 (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 -1 (*.f64 x (/.f64 z y)))
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (*.f64 (cbrt.f64 (/.f64 z y)) x))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
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(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))))
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(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
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(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 y x))))

simplify241.0ms (3.2%)

Algorithm
egg-herbie
Rules
1154×fma-neg
1094×log-prod
830×exp-prod
746×cube-prod
698×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047612351
1113512117
2489612117
Stop Event
node limit
Counts
497 → 299
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
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x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
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(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1 (/.f64 (*.f64 x z) y))
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(-.f64 0 (*.f64 x (/.f64 z y)))
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(/.f64 (*.f64 (neg.f64 z) x) y)
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(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (*.f64 (/.f64 x y) 1) z)
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 z y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(neg.f64 (*.f64 x (/.f64 z y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (/.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 y x))))
Outputs
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
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(/.f64 x (/.f64 y z))
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(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(*.f64 x (-.f64 1 (/.f64 z y)))
x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
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(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
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x
(+.f64 x (*.f64 -1 (/.f64 (*.f64 x z) y)))
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x
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(*.f64 x (-.f64 1 (/.f64 z y)))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
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x
(*.f64 -1 (/.f64 (*.f64 x z) y))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (/.f64 (cbrt.f64 (/.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y (*.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (*.f64 (cbrt.f64 z) x)))
(/.f64 (/.f64 y (*.f64 x (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 x z)))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 y) x) z)
(pow.f64 (/.f64 y (*.f64 x z)) 1)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 3)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3) 1/3)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) 2)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(pow.f64 (*.f64 x (/.f64 z y)) -1)
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(neg.f64 (/.f64 y (*.f64 x z)))
(/.f64 y (*.f64 x (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 y) x) z)
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2))
(fabs.f64 (/.f64 (/.f64 y z) x))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 x z)))))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(log.f64 (/.f64 1 (exp.f64 (/.f64 y (*.f64 x z)))))
(/.f64 y (*.f64 x (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 y) x) z)
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 z 3)))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x z))) 1))
(/.f64 y (*.f64 x z))
(/.f64 (/.f64 y z) x)
(-.f64 0 (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 -1 (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (*.f64 (cbrt.f64 (/.f64 z y)) x))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 (/.f64 z y)) x))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 -1 y) (*.f64 x z))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 -1 y) (/.f64 z (/.f64 -1 x)))
(*.f64 (/.f64 -1 y) (*.f64 (/.f64 z -1) x))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (*.f64 x (neg.f64 z))) y)
(*.f64 (*.f64 x (/.f64 z y)) -1)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 x z) (/.f64 -1 y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x -1) (/.f64 z y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 -1 x)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 -1 x)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (*.f64 (/.f64 x y) 1) z)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(neg.f64 (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (*.f64 x (/.f64 z y)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 x) (/.f64 z y))))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 y x))))
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))

eval63.0ms (0.8%)

Compiler

Compiled 3964 to 1520 computations (61.7% saved)

prune139.0ms (1.8%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New3393342
Fresh101
Picked145
Done044
Total34111352
Accuracy
100.0%
Counts
352 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
47.2%
(/.f64 (*.f64 x (neg.f64 z)) y)
34.7%
(/.f64 (*.f64 x y) y)
48.6%
(/.f64 -1 (/.f64 (/.f64 y x) z))
95.7%
(-.f64 x (/.f64 x (/.f64 y z)))
48.4%
(*.f64 (neg.f64 z) (/.f64 x y))
43.4%
(*.f64 y (/.f64 x y))
46.9%
(*.f64 x (/.f64 z (neg.f64 y)))
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
2.9%
(neg.f64 x)
49.6%
x
Compiler

Compiled 92 to 61 computations (33.7% saved)

localize42.0ms (0.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 x (/.f64 x (/.f64 y z)))
87.8%
(/.f64 x (/.f64 y z))
80.4%
(*.f64 y (/.f64 x y))
Compiler

Compiled 35 to 10 computations (71.4% saved)

series45.0ms (0.6%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
32.0ms
y
@0
(-.f64 x (/.f64 x (/.f64 y z)))
1.0ms
y
@inf
(-.f64 x (/.f64 x (/.f64 y z)))
1.0ms
y
@inf
(/.f64 x (/.f64 y z))
1.0ms
x
@-inf
(-.f64 x (/.f64 x (/.f64 y z)))
1.0ms
z
@inf
(-.f64 x (/.f64 x (/.f64 y z)))

rewrite171.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1456×prod-diff
729×log1p-expm1-u
729×expm1-log1p-u
484×fma-define
356×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01475
119675
2303475
Stop Event
node limit
Counts
3 → 276
Calls
Call 1
Inputs
(*.f64 y (/.f64 x y))
(/.f64 x (/.f64 y z))
(-.f64 x (/.f64 x (/.f64 y z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y x) y))) 1)
(/.f64 y (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y x) 1) y)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (*.f64 y x) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) y)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y x) y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y x) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) y) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (neg.f64 (/.f64 x y)) z x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)

simplify263.0ms (3.5%)

Algorithm
egg-herbie
Rules
1810×fma-neg
622×log-prod
580×cube-prod
532×exp-prod
398×fma-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063022432
1162916920
2539016920
Stop Event
node limit
Counts
372 → 323
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 x z) y)
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(fma.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (fma.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1 (*.f64 x (/.f64 z y))))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))
(fma.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 x (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1 (*.f64 x (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) 2) (cbrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (neg.f64 x) (/.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) x)
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 x (/.f64 z y))))
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(fma.f64 (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (sqrt.f64 (-.f64 x (*.f64 x (/.f64 z y)))) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) (/.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1))
(fma.f64 (neg.f64 x) (/.f64 z y) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 z y)) 3)) (/.f64 1 (fma.f64 (*.f64 x (/.f64 z y)) (fma.f64 x (/.f64 z y) x) (pow.f64 x 2))) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))
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(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) (sqrt.f64 (*.f64 x (/.f64 z y))) x)
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(fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (/.f64 y z))) (sqrt.f64 (/.f64 (neg.f64 x) (/.f64 y z))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1 (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (neg.f64 (/.f64 x y)) z x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)
Outputs
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(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(/.f64 (*.f64 x z) y)
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (/.f64 (neg.f64 z) y) x (*.f64 z (/.f64 x y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (*.f64 (*.f64 z (/.f64 x y)) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (/.f64 (neg.f64 x) (/.f64 y z)) 1 (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (/.f64 (neg.f64 z) y) x (*.f64 z (/.f64 x y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (*.f64 (*.f64 z (/.f64 x y)) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (/.f64 (neg.f64 z) y) x (*.f64 z (/.f64 x y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (*.f64 (*.f64 z (/.f64 x y)) 0))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (+.f64 (/.f64 (neg.f64 x) (/.f64 y z)) (*.f64 x (/.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (/.f64 (neg.f64 z) y) x (*.f64 z (/.f64 x y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (*.f64 (*.f64 z (/.f64 x y)) 0))
(fma.f64 (neg.f64 (/.f64 x y)) z x)
(*.f64 x (-.f64 1 (/.f64 z y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)
(*.f64 x (-.f64 1 (/.f64 z y)))

eval228.0ms (3%)

Compiler

Compiled 8422 to 2468 computations (70.7% saved)

prune64.0ms (0.9%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New3212323
Fresh000
Picked033
Done088
Total32113334
Accuracy
100.0%
Counts
334 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(/.f64 (*.f64 x (-.f64 y z)) y)
47.2%
(/.f64 (*.f64 x (neg.f64 z)) y)
34.7%
(/.f64 (*.f64 x y) y)
42.8%
(/.f64 y (/.f64 y x))
47.5%
(/.f64 x (/.f64 (neg.f64 y) z))
48.6%
(/.f64 -1 (/.f64 (/.f64 y x) z))
95.7%
(-.f64 x (/.f64 x (/.f64 y z)))
48.4%
(*.f64 (neg.f64 z) (/.f64 x y))
43.4%
(*.f64 y (/.f64 x y))
46.9%
(*.f64 x (/.f64 z (neg.f64 y)))
95.1%
(*.f64 x (-.f64 1 (/.f64 z y)))
2.9%
(neg.f64 x)
49.6%
x
Compiler

Compiled 234 to 122 computations (47.9% saved)

regimes185.0ms (2.5%)

Counts
19 → 2
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 -1 (/.f64 (/.f64 y x) z))
(/.f64 (*.f64 x (-.f64 y z)) y)
(+.f64 x (/.f64 (*.f64 x (neg.f64 z)) y))
(*.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))
(pow.f64 (/.f64 (neg.f64 y) (*.f64 x z)) -1)
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) -1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
Outputs
(/.f64 (*.f64 x (-.f64 y z)) y)
(-.f64 x (/.f64 x (/.f64 y z)))
Calls

4 calls:

114.0ms
x
32.0ms
y
22.0ms
z
16.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
Results
AccuracySegmentsBranch
97.3%2x
98.0%3y
97.4%2z
97.5%2(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes17.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 x (/.f64 y z)))
(/.f64 -1 (/.f64 (/.f64 y x) z))
Outputs
(-.f64 x (/.f64 x (/.f64 y z)))
Calls

2 calls:

9.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
95.7%1x
95.7%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 z)) y)
(*.f64 x (-.f64 1 (/.f64 z y)))
(-.f64 x (*.f64 x (/.f64 z y)))
Outputs
(*.f64 x (-.f64 1 (/.f64 z y)))
Calls

2 calls:

8.0ms
z
7.0ms
x
Results
AccuracySegmentsBranch
95.1%1x
95.1%1z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes192.0ms (2.6%)

Counts
9 → 5
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (neg.f64 z)) y)
Outputs
x
(/.f64 (*.f64 x (neg.f64 z)) y)
x
(*.f64 (neg.f64 z) (/.f64 x y))
x
Calls

3 calls:

132.0ms
y
41.0ms
x
19.0ms
z
Results
AccuracySegmentsBranch
80.2%5y
74.4%3z
62.0%7x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.5%)

Counts
8 → 5
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(/.f64 x (/.f64 (neg.f64 y) z))
Outputs
x
(*.f64 (neg.f64 z) (/.f64 x y))
x
(*.f64 (neg.f64 z) (/.f64 x y))
x
Calls

1 calls:

34.0ms
y
Results
AccuracySegmentsBranch
79.9%5y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes89.0ms (1.2%)

Counts
6 → 5
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
Outputs
x
(*.f64 x (/.f64 z (neg.f64 y)))
x
(*.f64 x (/.f64 z (neg.f64 y)))
x
Calls

1 calls:

88.0ms
y
Results
AccuracySegmentsBranch
77.7%5y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Accuracy

Total -30.6b remaining (-94.9%)

Threshold costs -30.6b (-94.9%)

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

3 calls:

5.0ms
z
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
49.6%1x
49.6%1z
49.6%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.738838974130409e-189
-0.0
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch53.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
9.464628575104205e+36
1.883063155678547e+41
11.0ms
4.4402965479808915e-80
5.1207255915681484e-79
13.0ms
1.768697852470578e-111
1.0261565379518484e-109
16.0ms
-8.926619637989965e+22
-342642331186550.9
Results
38.0ms383×256valid
8.0ms81×256infinite
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 466 to 341 computations (26.8% saved)

bsearch56.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.464628575104205e+36
1.883063155678547e+41
11.0ms
4.4402965479808915e-80
5.1207255915681484e-79
12.0ms
1.768697852470578e-111
1.0261565379518484e-109
17.0ms
-8.926619637989965e+22
-342642331186550.9
Results
42.0ms393×256valid
7.0ms71×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 466 to 341 computations (26.8% saved)

bsearch54.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
9.464628575104205e+36
1.883063155678547e+41
11.0ms
4.4402965479808915e-80
5.1207255915681484e-79
13.0ms
1.768697852470578e-111
1.0261565379518484e-109
16.0ms
-8.926619637989965e+22
-342642331186550.9
Results
41.0ms402×256valid
6.0ms62×256infinite
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 466 to 341 computations (26.8% saved)

simplify20.0ms (0.3%)

Algorithm
egg-herbie
Rules
38×*-commutative
28×sub-neg
28×+-commutative
24×neg-sub0
24×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068500
1103468
2142468
3185460
4207460
5220460
6222460
7224460
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -3135285318820699/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (/.f64 (*.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 x (/.f64 y z))))
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(if (<=.f64 y -15500000000000000000) x (if (<=.f64 y 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (*.f64 x (neg.f64 z)) y) (if (<=.f64 y 5006219615439633/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) x (if (<=.f64 y 155000000000000008788808081817930301440) (*.f64 (neg.f64 z) (/.f64 x y)) x))))
(if (<=.f64 y -350000000000000) x (if (<=.f64 y 486537193029623/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (*.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 y 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (if (<=.f64 y 9499999999999999738913268399626780672) (*.f64 (neg.f64 z) (/.f64 x y)) x))))
(if (<=.f64 y -64000000000000000000) x (if (<=.f64 y 3384606560206073/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 y 5339967589802275/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (if (<=.f64 y 9499999999999999738913268399626780672) (*.f64 x (/.f64 z (neg.f64 y))) x))))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -3135285318820699/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272) (/.f64 (*.f64 x (-.f64 y z)) y) (-.f64 x (/.f64 x (/.f64 y z))))
(-.f64 x (/.f64 x (/.f64 y z)))
(*.f64 x (-.f64 1 (/.f64 z y)))
(if (<=.f64 y -15500000000000000000) x (if (<=.f64 y 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (*.f64 x (neg.f64 z)) y) (if (<=.f64 y 5006219615439633/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) x (if (<=.f64 y 155000000000000008788808081817930301440) (*.f64 (neg.f64 z) (/.f64 x y)) x))))
(if (<=.f64 y -15500000000000000000) x (if (<=.f64 y 4315373364262743/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (*.f64 x (neg.f64 z)) y) (if (<=.f64 y 5006219615439633/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) x (if (<=.f64 y 155000000000000008788808081817930301440) (*.f64 z (/.f64 x (neg.f64 y))) x))))
(if (<=.f64 y -350000000000000) x (if (<=.f64 y 486537193029623/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (*.f64 (neg.f64 z) (/.f64 x y)) (if (<=.f64 y 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (if (<=.f64 y 9499999999999999738913268399626780672) (*.f64 (neg.f64 z) (/.f64 x y)) x))))
(if (<=.f64 y -350000000000000) x (if (or (<=.f64 y 486537193029623/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (not (or (<=.f64 y 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (not (<=.f64 y 9499999999999999738913268399626780672))))) (*.f64 (neg.f64 z) (/.f64 x y)) x))
(if (<=.f64 y -350000000000000) x (if (or (<=.f64 y 486537193029623/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (not (or (<=.f64 y 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (not (<=.f64 y 9499999999999999738913268399626780672))))) (*.f64 z (/.f64 x (neg.f64 y))) x))
(if (<=.f64 y -350000000000000) x (if (or (<=.f64 y 486537193029623/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (and (not (<=.f64 y 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768)) (<=.f64 y 9499999999999999738913268399626780672))) (*.f64 z (/.f64 x (neg.f64 y))) x))
(if (<=.f64 y -64000000000000000000) x (if (<=.f64 y 3384606560206073/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 y 5339967589802275/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) x (if (<=.f64 y 9499999999999999738913268399626780672) (*.f64 x (/.f64 z (neg.f64 y))) x))))
(if (<=.f64 y -64000000000000000000) x (if (or (<=.f64 y 3384606560206073/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (not (or (<=.f64 y 5339967589802275/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (not (<=.f64 y 9499999999999999738913268399626780672))))) (*.f64 x (/.f64 z (neg.f64 y))) x))
(if (<=.f64 y -64000000000000000000) x (if (or (<=.f64 y 3384606560206073/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (and (not (<=.f64 y 5339967589802275/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768)) (<=.f64 y 9499999999999999738913268399626780672))) (*.f64 x (/.f64 z (neg.f64 y))) x))
x
Compiler

Compiled 141 to 87 computations (38.3% saved)

soundness1.8s (23.6%)

Rules
1760×fma-neg
1632×fma-define
1498×prod-diff
1276×times-frac
1192×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036385
190369
2286319
31228308
43445308
55188308
66721308
77150308
87333308
97341306
02455545
16074772
222544772
025237
1411209
26260209
047612351
1113512117
2489612117
01681
122581
2326581
074020933
1205619017
02455545
16074772
222544772
02455545
16074772
222544772
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 451 to 174 computations (61.4% saved)

end0.0ms (0%)

preprocess167.0ms (2.2%)

Compiler

Compiled 546 to 266 computations (51.3% saved)

Profiling

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