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

Time bar (total: 7.9s)

analyze38.0ms (0.5%)

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)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.7% of total)
ival-sub: 3.0ms (29.8% of total)
ival-div: 2.0ms (19.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (15.1%)

Results
903.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 520.0ms
ival-sub: 341.0ms (65.6% of total)
ival-div: 96.0ms (18.5% of total)
ival-mult: 73.0ms (14% of total)
const: 8.0ms (1.5% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess455.0ms (5.7%)

Algorithm
egg-herbie
Rules
880×fma-neg
816×fma-define
638×times-frac
596×div-sub
430×sub-neg
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 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.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 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 x (-.f64 z y)) z)
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Symmetry

(negabs x)

explain54.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-2(7.637004594823543e-232 -3.1179030107428596e-86 -1.866162434098245e-215)(/.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
Results
35.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.9% of total)
ival-mult: 4.0ms (32.9% of total)
ival-sub: 3.0ms (24.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(/.f64 (*.f64 x (-.f64 y z)) y)
96.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify316.0ms (4%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff0
(/.f64 (*.f64 x (-.f64 y z)) y)
cost-diff0
(/.f64 z y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 z y))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Rules
1299×fma-define
719×fma-neg
437×div-sub
330×associate-*r/
320×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016148
130148
257148
3108148
4247148
5500148
61147148
72150148
83831148
95468148
106159148
116487148
126541148
137437148
147805148
157829148
167853148
177936148
187984148
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(-.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
z
y
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(-.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
z
y
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
y
z

localize165.0ms (2.1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy87.5%
(/.f64 (*.f64 x (-.f64 y z)) y)
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 z y))
accuracy96.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Results
28.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37% of total)
ival-mult: 4.0ms (37% of total)
ival-sub: 3.0ms (27.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
6 → 117
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 (*.f64 x (-.f64 y z)) y)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 y z)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (/.f64 (-.f64 y z) y)>
#<alt (/.f64 (-.f64 y z) y)>
#<alt (/.f64 (-.f64 y z) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
Calls

45 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(/ (* x (- y z)) y)
1.0ms
y
@-inf
(* x (- 1 (/ z y)))
1.0ms
x
@0
(* x (- 1 (/ z y)))
1.0ms
z
@inf
(* x (- 1 (/ z y)))
1.0ms
x
@0
(/ (* x (- y z)) y)

rewrite387.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
810×log1p-expm1-u
810×expm1-log1p-u
749×prod-diff
294×fma-define
130×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016126
1225126
23265126
Stop Event
node limit
Counts
6 → 257
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 z y)
(/.f64 (*.f64 x (-.f64 y z)) y)
(*.f64 x (-.f64 y z))
(-.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 #s(literal 1 binary64) (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 z (neg.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (/.f64 z (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (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 #s(literal 1 binary64) (/.f64 z (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64)))
(+.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (neg.f64 y)) (/.f64 z (neg.f64 y)) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (neg.f64 y)) (/.f64 z (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(exp.f64 (log1p.f64 (/.f64 z (neg.f64 y))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z (neg.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 z (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 z y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z y)) (neg.f64 (sqrt.f64 (/.f64 z y))) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 z (neg.f64 y))) (cbrt.f64 (/.f64 z (neg.f64 y)))) (cbrt.f64 (/.f64 z (neg.f64 y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z (neg.f64 y))) (sqrt.f64 (/.f64 z (neg.f64 y))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (-.f64 y z) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 y z) y))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 y z) y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(*.f64 (-.f64 y z) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 (-.f64 y z) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.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 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 y z)))
(*.f64 (/.f64 (-.f64 y z) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x (-.f64 y z)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 y z) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.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) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 y z) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x (-.f64 y z))) #s(literal -1 binary64))
(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)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 y z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (-.f64 y z) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 y z) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(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))) #s(literal 1 binary64)))
(+.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)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))
(+.f64 y (neg.f64 z))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (-.f64 y z) (fma.f64 #s(literal -1 binary64) z z))
(+.f64 (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) z))
(+.f64 (neg.f64 z) y)
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 z y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) y)
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
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(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)

simplify254.0ms (3.2%)

Algorithm
egg-herbie
Rules
387×cancel-sign-sub-inv
362×distribute-lft-neg-in
307×distribute-rgt-neg-in
277×exp-prod
252×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054310705
112389574
239939382
Stop Event
node limit
Counts
374 → 318
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
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x
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
y
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y
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))
y
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(+.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 #s(literal 1 binary64) (/.f64 z y))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 z y)))
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(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 z y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 y (neg.f64 z)))
(pow.f64 (-.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 y z)))
(exp.f64 (log.f64 (-.f64 y z)))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (cbrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 z))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 z (neg.f64 y))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 z (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 z (neg.f64 y))
(/.f64 (-.f64 y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (-.f64 y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (-.f64 y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (/.f64 (*.f64 (neg.f64 x) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
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(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 z))
(-.f64 y z)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 z))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (-.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) y)
(-.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 z))
(-.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 z y))
(fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) y)
(-.f64 y z)
(fma.f64 #s(literal -1 binary64) z y)
(-.f64 y z)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) y)
(-.f64 y z)
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) y)
(-.f64 y z)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 z) #s(literal 1 binary64) z))
(-.f64 y z)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(-.f64 y z)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 z)) (-.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(-.f64 y z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) y)
(-.f64 y z)

eval89.0ms (1.1%)

Compiler

Compiled 4035 to 914 computations (77.3% saved)

prune144.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3108318
Fresh000
Picked112
Done000
Total3119320
Accuracy
100.0%
Counts
320 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.7%
(/.f64 (*.f64 (neg.f64 x) z) y)
42.9%
(/.f64 (*.f64 x y) y)
96.2%
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
85.5%
(*.f64 (-.f64 y z) (/.f64 x y))
95.7%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
47.2%
(*.f64 z (/.f64 x (neg.f64 y)))
45.4%
(*.f64 x (/.f64 z (neg.f64 y)))
96.2%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
52.1%
x
Compiler

Compiled 158 to 101 computations (36.1% saved)

simplify129.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 y z) y)
cost-diff0
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
cost-diff0
(sqrt.f64 x)
cost-diff12928
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
(/.f64 (*.f64 (neg.f64 x) z) y)
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 z (neg.f64 y))
cost-diff0
(*.f64 x (/.f64 z (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 z (neg.f64 y))
cost-diff0
(*.f64 (/.f64 z (neg.f64 y)) x)
cost-diff64
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
Rules
1179×fma-neg
1061×fma-define
454×times-frac
354×div-sub
311×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023347
152333
2119333
3268333
4572333
51037333
61976333
74056333
85794333
96953333
107688333
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
x
(*.f64 (/.f64 z (neg.f64 y)) x)
(/.f64 z (neg.f64 y))
z
(neg.f64 y)
y
x
(*.f64 x (/.f64 z (neg.f64 y)))
x
(/.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
y
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
(/.f64 (-.f64 y z) y)
(-.f64 y z)
y
z
Outputs
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
(*.f64 (+.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(*.f64 (/.f64 z (neg.f64 y)) x)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 z (neg.f64 y))
z
(neg.f64 y)
y
x
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
x
(/.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
z
y
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(*.f64 (+.f64 (/.f64 z (neg.f64 y)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(sqrt.f64 x)
x
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (-.f64 y z) y)
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 y z)
y
z

localize85.0ms (1.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(/.f64 (-.f64 y z) y)
accuracy98.0%
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
accuracy97.6%
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy93.1%
(/.f64 (*.f64 (neg.f64 x) z) y)
accuracy100.0%
(/.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy91.7%
(*.f64 x (/.f64 z (neg.f64 y)))
accuracy100.0%
(/.f64 z (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
accuracy91.7%
(*.f64 (/.f64 z (neg.f64 y)) x)
Results
54.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 13.0ms (48% of total)
ival-div: 6.0ms (22.2% of total)
ival-neg: 3.0ms (11.1% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts
12 → 308
Calls
Call 1
Inputs
#<alt (+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))>
#<alt (*.f64 (/.f64 z (neg.f64 y)) x)>
#<alt (/.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 x (/.f64 z (neg.f64 y)))>
#<alt (/.f64 (*.f64 (neg.f64 x) z) y)>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (neg.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))>
#<alt (/.f64 (-.f64 y z) y)>
Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z y))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))>
Calls

81 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (sqrt x) (* (sqrt x) (/ (- y z) y)))
3.0ms
y
@inf
(* (sqrt x) (* (sqrt x) (/ (- y z) y)))
1.0ms
x
@-inf
(* (sqrt x) (* (sqrt x) (/ (- y z) y)))
1.0ms
x
@-inf
(* (sqrt x) (/ (- y z) y))
1.0ms
x
@0
(+ x (* (/ z (neg y)) x))

rewrite178.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1006×log1p-expm1-u
431×expm1-log1p-u
174×associate-*r*
163×add-log-exp
163×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023257
1380213
25855213
Stop Event
node limit
Counts
12 → 430
Calls
Call 1
Inputs
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
(*.f64 (/.f64 z (neg.f64 y)) x)
(/.f64 z (neg.f64 y))
(neg.f64 y)
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 (neg.f64 x) z)
(neg.f64 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y))
(/.f64 (-.f64 y z) y)
Outputs
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 z y) x))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 y z)) #s(literal -1 binary64))
(neg.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))

simplify310.0ms (3.9%)

Algorithm
egg-herbie
Rules
646×associate-*r*
646×times-frac
554×cube-prod
456×exp-prod
287×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070820082
1143718425
2673118411
Stop Event
node limit
Counts
738 → 458
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 y z))) y)
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (-.f64 y z))) y)
(/.f64 (*.f64 (neg.f64 (-.f64 y z)) (sqrt.f64 x)) y)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 y z)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 y z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (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 (/.f64 z y) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (/.f64 z y))))
(exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 (/.f64 z y))) #s(literal 1 binary64)))
(+.f64 (/.f64 z y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y z)) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.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 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y z)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y z)) (cbrt.f64 y)))
(pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (-.f64 y z)) #s(literal -1 binary64))
(neg.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 x z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y)) y)
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y)) y)
(*.f64 (/.f64 x y) (-.f64 y z))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 x y)) y)
(*.f64 (/.f64 x y) (-.f64 y z))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) (/.f64 z y))
(/.f64 (neg.f64 z) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
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(*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y z) y)
(*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y z)) y))
(/.f64 (-.f64 y z) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y z) y)
(*.f64 (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 (sqrt.f64 (-.f64 y z)) y))
(/.f64 (-.f64 y z) y)
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y z) y)
(*.f64 (neg.f64 (-.f64 y z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 y z) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 y z))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y z)) y))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y z)) y))
(/.f64 (-.f64 y z) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y z)) (cbrt.f64 y)))
(/.f64 (-.f64 y z) y)
(pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(pow.f64 (/.f64 y (-.f64 y z)) #s(literal -1 binary64))
(/.f64 (-.f64 y z) y)
(neg.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 z y))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(log.f64 (exp.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 z y)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(exp.f64 (log1p.f64 (/.f64 z y)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(exp.f64 (*.f64 (log1p.f64 (/.f64 z y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(fma.f64 z (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(fma.f64 #s(literal 1 binary64) (/.f64 z y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 z y))

eval79.0ms (1%)

Compiler

Compiled 6917 to 1486 computations (78.5% saved)

prune144.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5653568
Fresh123
Picked235
Done101
Total5698577
Accuracy
100.0%
Counts
577 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.7%
(/.f64 (*.f64 (neg.f64 x) z) y)
42.9%
(/.f64 (*.f64 x y) y)
96.2%
(-.f64 x (*.f64 x (/.f64 z y)))
45.2%
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
47.2%
(*.f64 z (/.f64 x (neg.f64 y)))
2.7%
(*.f64 z (/.f64 x y))
45.4%
(*.f64 x (/.f64 z (neg.f64 y)))
52.1%
x
Compiler

Compiled 118 to 75 computations (36.4% saved)

simplify91.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff12928
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 x (neg.f64 y))
cost-diff0
(*.f64 z (/.f64 x (neg.f64 y)))
cost-diff0
(*.f64 x y)
cost-diff256
(/.f64 (*.f64 x y) y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 z (/.f64 x y))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 x (/.f64 z y))
cost-diff0
(-.f64 x (*.f64 x (/.f64 z y)))
Rules
370×cancel-sign-sub-inv
368×div-sub
345×unsub-neg
334×fma-neg
333×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024314
155314
2126314
3268311
4594311
51959311
64271311
76912311
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 x (/.f64 z y)))
x
(*.f64 x (/.f64 z y))
(/.f64 z y)
z
y
(*.f64 z (/.f64 x y))
z
(/.f64 x y)
x
y
(/.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
(*.f64 z (/.f64 x (neg.f64 y)))
z
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 x)
x
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(/.f64 z y)
z
y
(neg.f64 (sqrt.f64 x))
Outputs
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
(/.f64 z y)
z
y
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 x z) y)
z
(/.f64 x y)
x
y
(/.f64 (*.f64 x y) y)
x
(*.f64 x y)
x
y
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 (*.f64 z (neg.f64 x)) y)
z
(/.f64 x (neg.f64 y))
(/.f64 (neg.f64 x) y)
x
(neg.f64 y)
y
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 (/.f64 z y) (neg.f64 x))
(/.f64 (*.f64 z (neg.f64 x)) y)
(sqrt.f64 x)
x
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 (neg.f64 (sqrt.f64 x)) y))
(/.f64 z y)
z
y
(neg.f64 (sqrt.f64 x))

localize326.0ms (4.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(neg.f64 (sqrt.f64 x))
accuracy97.3%
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
accuracy94.0%
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
accuracy100.0%
(/.f64 x (neg.f64 y))
accuracy100.0%
(neg.f64 y)
accuracy92.7%
(*.f64 z (/.f64 x (neg.f64 y)))
accuracy100.0%
(*.f64 x y)
accuracy82.1%
(/.f64 (*.f64 x y) y)
accuracy100.0%
(/.f64 x y)
accuracy92.7%
(*.f64 z (/.f64 x y))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(-.f64 x (*.f64 x (/.f64 z y)))
accuracy91.7%
(*.f64 x (/.f64 z y))
Results
306.0ms256×0valid
Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-div: 161.0ms (57.4% of total)
ival-mult: 111.0ms (39.5% of total)
ival-neg: 5.0ms (1.8% of total)
ival-sqrt: 2.0ms (0.7% of total)
ival-sub: 1.0ms (0.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series98.0ms (1.2%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 x (/.f64 z y)))>
#<alt (*.f64 x (/.f64 z y))>
#<alt (*.f64 z (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (/.f64 (*.f64 x y) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 z (/.f64 x (neg.f64 y)))>
#<alt (/.f64 x (neg.f64 y))>
#<alt (*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))>
#<alt (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))>
#<alt (neg.f64 (sqrt.f64 x))>
Outputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 z y)))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 (sqrt.f64 x) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
Calls

81 calls:

TimeVariablePointExpression
76.0ms
x
@-inf
(* (/ z y) (neg (sqrt x)))
1.0ms
x
@-inf
(* (sqrt x) (* (/ z y) (neg (sqrt x))))
1.0ms
z
@0
(* (/ z y) (neg (sqrt x)))
1.0ms
y
@0
(* (/ z y) (neg (sqrt x)))
1.0ms
x
@0
(* (/ z y) (neg (sqrt x)))

rewrite226.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
879×log1p-expm1-u
400×expm1-log1p-u
205×associate-*r*
177×add-exp-log
177×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024222
1395193
26220193
Stop Event
node limit
Counts
11 → 381
Calls
Call 1
Inputs
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 x y)
(/.f64 (*.f64 x y) y)
(*.f64 x y)
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
Outputs
(+.f64 x (/.f64 x (/.f64 y z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (/.f64 z y) x (/.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 x (/.f64 z y) (/.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (/.f64 x (/.f64 y z)) #s(literal 1 binary64) (/.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64)) (/.f64 x (/.f64 y z))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))) (/.f64 x (/.f64 y z))))
(+.f64 (/.f64 x (/.f64 y z)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (/.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (/.f64 y z)))))
(*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 z y)))))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 x (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (/.f64 x (/.f64 y z)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 y z)) #s(literal 1 binary64))
(neg.f64 (/.f64 x (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (/.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 x) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (sqrt.f64 x))))
(/.f64 (*.f64 z (sqrt.f64 x)) y)
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) y)
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 z y)))
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
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(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
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(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
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(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))

simplify373.0ms (4.7%)

Algorithm
egg-herbie
Rules
438×distribute-lft-neg-in
420×distribute-rgt-neg-in
383×associate-*l*
354×exp-prod
348×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050214486
198414178
2416114168
Stop Event
node limit
Counts
657 → 299
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
x
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x
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
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(pow.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 x)
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) x)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 y z)) #s(literal 1 binary64))
(neg.f64 (/.f64 x (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (/.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) y)
(/.f64 (*.f64 x (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) x) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 y z)) #s(literal 1 binary64))
(neg.f64 (/.f64 x (/.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (/.f64 y z)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z y) (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 x) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (sqrt.f64 x))))
(/.f64 (*.f64 z (sqrt.f64 x)) y)
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 z)) y)
(/.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) y)
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
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(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 z (sqrt.f64 x)) y)
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 z)) y)
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 z) (sqrt.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(neg.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))
(*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (/.f64 (sqrt.f64 x) y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 z (sqrt.f64 x)) y)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (sqrt.f64 x) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) y) z)
(*.f64 (/.f64 z y) (sqrt.f64 x))
(*.f64 z (/.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(neg.f64 (sqrt.f64 x))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (+.f64 x #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(sqrt.f64 x)
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 x)
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 (exp.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(sqrt.f64 x)

eval67.0ms (0.8%)

Compiler

Compiled 5599 to 1278 computations (77.2% saved)

prune251.0ms (3.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4753478
Fresh000
Picked235
Done033
Total4779486
Accuracy
100.0%
Counts
486 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.7%
(/.f64 (*.f64 (neg.f64 x) z) y)
42.9%
(/.f64 (*.f64 x y) y)
95.3%
(-.f64 x (/.f64 z (/.f64 y x)))
96.2%
(-.f64 x (*.f64 x (/.f64 z y)))
47.2%
(*.f64 z (/.f64 x (neg.f64 y)))
44.7%
(*.f64 y (/.f64 x y))
45.4%
(*.f64 x (/.f64 z (neg.f64 y)))
3.0%
(neg.f64 x)
52.1%
x
Compiler

Compiled 72 to 47 computations (34.7% saved)

simplify71.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 z (/.f64 y x))
cost-diff0
(-.f64 x (/.f64 z (/.f64 y x)))
cost-diff0
(/.f64 x y)
cost-diff256
(*.f64 y (/.f64 x y))
cost-diff0
(neg.f64 x)
Rules
760×fma-neg
464×distribute-lft-neg-in
420×distribute-rgt-neg-in
376×div-sub
256×associate-*l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016115
127115
245115
393114
4172112
5313112
6769112
72469112
86047112
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 x)
x
(*.f64 y (/.f64 x y))
y
(/.f64 x y)
x
(-.f64 x (/.f64 z (/.f64 y x)))
x
(/.f64 z (/.f64 y x))
z
(/.f64 y x)
y
Outputs
(neg.f64 x)
x
(*.f64 y (/.f64 x y))
x
y
(/.f64 x y)
x
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 (/.f64 z y) x))
(-.f64 x (*.f64 x (/.f64 z y)))
(fma.f64 (/.f64 z y) (neg.f64 x) x)
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 z y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
z
(/.f64 y x)
y

localize40.0ms (0.5%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(-.f64 x (/.f64 z (/.f64 y x)))
accuracy93.0%
(/.f64 z (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy76.4%
(*.f64 y (/.f64 x y))
accuracy100.0%
(neg.f64 x)
Results
30.0ms256×0valid
Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (55.4% of total)
ival-mult: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-neg: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 y (/.f64 x y))>
#<alt (-.f64 x (/.f64 z (/.f64 y x)))>
#<alt (/.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt (/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
Calls

30 calls:

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

rewrite258.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1090×log1p-expm1-u
1090×expm1-log1p-u
716×prod-diff
90×add-cube-cbrt
89×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01488
119485
2295385
Stop Event
node limit
Counts
4 → 284
Calls
Call 1
Inputs
(*.f64 y (/.f64 x y))
(-.f64 x (/.f64 z (/.f64 y x)))
(/.f64 z (/.f64 y x))
(/.f64 y x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 y (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.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) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 y (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 z (/.f64 y x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y))) (*.f64 x (*.f64 (neg.f64 z) (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 (neg.f64 z) (/.f64 x y)))) (-.f64 x (*.f64 (neg.f64 z) (/.f64 x y))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) (/.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 z (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 z y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))
(pow.f64 (/.f64 z (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))

simplify226.0ms (2.9%)

Algorithm
egg-herbie
Rules
863×fma-neg
351×cube-prod
312×exp-prod
229×div-sub
220×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069317976
1175514406
2558214406
Stop Event
node limit
Counts
380 → 320
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 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
x
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(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
x
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x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
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(/.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 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
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(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 y (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 y x))) #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(log1p.f64 (expm1.f64 (/.f64 y (/.f64 y x))))
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(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 z (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (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)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 z (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 z y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))
(pow.f64 (/.f64 z (/.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 z (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
Outputs
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x
x
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 z (-.f64 (/.f64 x z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) (/.f64 x y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) (/.f64 x y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) (/.f64 x y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 x y) (*.f64 x z)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 y x))))
(expm1.f64 (log1p.f64 x))
(/.f64 y (/.f64 y x))
x
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
x
(/.f64 (*.f64 y x) y)
x
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
x
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
x
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
x
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) y)
x
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
x
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
x
(pow.f64 (/.f64 y (/.f64 y x)) #s(literal 1 binary64))
x
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 y x))) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 y x))) #s(literal 2 binary64))
x
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 2 binary64)))
x
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
x
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (/.f64 y x)))))
x
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 y x)) #s(literal 3 binary64)))
x
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
x
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 y x))))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 y x))))
x
(exp.f64 (log.f64 (/.f64 y (/.f64 y x))))
x
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 y x))) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal 1 binary64) (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 z (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) #s(literal 2 binary64)) (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z (/.f64 y x)))) (sqrt.f64 (/.f64 z (/.f64 y x))) (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 z (/.f64 y x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (*.f64 z (/.f64 x y)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 z (/.f64 y x))))
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(exp.f64 (log.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 y x)

eval51.0ms (0.6%)

Compiler

Compiled 8449 to 1072 computations (87.3% saved)

prune68.0ms (0.9%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4061407
Fresh000
Picked033
Done066
Total40610416
Accuracy
100.0%
Counts
416 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.7%
(/.f64 (*.f64 (neg.f64 x) z) y)
42.9%
(/.f64 (*.f64 x y) y)
44.8%
(/.f64 y (/.f64 y x))
95.3%
(-.f64 x (/.f64 z (/.f64 y x)))
96.2%
(-.f64 x (*.f64 x (/.f64 z y)))
47.2%
(*.f64 z (/.f64 x (neg.f64 y)))
44.7%
(*.f64 y (/.f64 x y))
45.4%
(*.f64 x (/.f64 z (neg.f64 y)))
3.0%
(neg.f64 x)
52.1%
x
Compiler

Compiled 188 to 91 computations (51.6% saved)

regimes24.0ms (0.3%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 x (/.f64 z y)))
(-.f64 x (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 x (-.f64 y z)) y)
(+.f64 x (*.f64 (/.f64 z (neg.f64 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 z y) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (-.f64 y z) y)))
Outputs
(-.f64 x (/.f64 z (/.f64 y x)))
(-.f64 x (*.f64 x (/.f64 z y)))
Calls

4 calls:

6.0ms
y
6.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
98.4%2x
96.2%1y
96.2%1z
96.2%1(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes14.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (-.f64 y z) (/.f64 x y))
(-.f64 x (*.f64 x (/.f64 z y)))
Outputs
(-.f64 x (*.f64 x (/.f64 z y)))
Calls

3 calls:

5.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
96.2%1y
96.2%1z
96.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 (-.f64 y z) (/.f64 x y))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
Calls

3 calls:

5.0ms
z
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
96.2%1x
96.2%1y
96.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) z) y)
Outputs
(/.f64 (*.f64 (neg.f64 x) z) y)
x
(*.f64 z (/.f64 x (neg.f64 y)))
Calls

3 calls:

4.0ms
z
4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
61.9%5x
74.7%3y
77.1%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
(*.f64 x (/.f64 z (neg.f64 y)))
(*.f64 z (/.f64 x (neg.f64 y)))
Outputs
(*.f64 z (/.f64 x (neg.f64 y)))
x
(*.f64 z (/.f64 x (neg.f64 y)))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
77.0%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
71.9%3y
74.3%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes77.0ms (1%)

Counts
6 → 2
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 x y) y)
Outputs
x
(/.f64 y (/.f64 y x))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
54.3%2x
55.8%3y
52.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 y (/.f64 x y))
(*.f64 z (/.f64 x y))
Outputs
x
(*.f64 y (/.f64 x y))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
55.6%3y
54.2%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -32.2b remaining (-105.2%)

Threshold costs -32.2b (-105.2%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
Outputs
x
Calls

2 calls:

2.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
52.1%1y
52.1%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
3.079043709279793e-8
9.726098258170551e-6
Results
1.0ms16×0valid
Compiler

Compiled 38 to 25 computations (34.2% saved)

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

bsearch140.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
1.0343286470965993e-35
9.167765557620107e-30
68.0ms
-5.237418578021494e-17
-7.076176891991274e-24
Results
15.0ms288×0valid
Compiler

Compiled 286 to 209 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (31.2% of total)
ival-div: 2.0ms (31.2% of total)
ival-mult: 2.0ms (31.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.0343286470965993e-35
9.167765557620107e-30
12.0ms
-5.237418578021494e-17
-7.076176891991274e-24
Results
15.0ms288×0valid
Compiler

Compiled 286 to 209 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.7% of total)
ival-div: 2.0ms (29.7% of total)
ival-mult: 2.0ms (29.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.0343286470965993e-35
9.167765557620107e-30
14.0ms
-5.237418578021494e-17
-7.076176891991274e-24
Results
17.0ms288×0valid
Compiler

Compiled 286 to 209 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (30.6% of total)
ival-div: 2.0ms (30.6% of total)
ival-mult: 2.0ms (30.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
4.110092724624156e+34
3.600710138954126e+35
Results
2.0ms48×0valid
Compiler

Compiled 58 to 41 computations (29.3% saved)

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

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
8.89028431715648e+74
3.107442930773917e+76
Results
6.0ms112×0valid
Compiler

Compiled 114 to 81 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (39.7% of total)
ival-div: 1.0ms (39.7% of total)
ival-mult: 1.0ms (39.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
19×*-commutative
14×sub-neg
14×+-commutative
12×neg-sub0
12×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060415
196415
2130415
3159415
4172415
5176415
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (*.f64 x (/.f64 z y))))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 z #s(literal -8772904772180445/664613997892457936451903530140172288 binary64)) (/.f64 (*.f64 (neg.f64 x) z) y) (if (<=.f64 z #s(literal 3507603929594167/1461501637330902918203684832716283019655932542976 binary64)) x (*.f64 z (/.f64 x (neg.f64 y)))))
(if (<=.f64 z #s(literal -1298074214633707/81129638414606681695789005144064 binary64)) (*.f64 z (/.f64 x (neg.f64 y))) (if (<=.f64 z #s(literal 8652089692998945/46768052394588893382517914646921056628989841375232 binary64)) x (*.f64 z (/.f64 x (neg.f64 y)))))
(if (<=.f64 z #s(literal -5841333965851681/162259276829213363391578010288128 binary64)) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 z #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)) x (*.f64 x (/.f64 z (neg.f64 y)))))
(if (<=.f64 x #s(literal 99999999999999996863366107917975552 binary64)) x (/.f64 y (/.f64 y x)))
(if (<=.f64 x #s(literal 22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) x (*.f64 y (/.f64 x y)))
x
Outputs
(if (<=.f64 x #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (*.f64 x (/.f64 z y))))
(-.f64 x (*.f64 x (/.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(if (<=.f64 z #s(literal -8772904772180445/664613997892457936451903530140172288 binary64)) (/.f64 (*.f64 (neg.f64 x) z) y) (if (<=.f64 z #s(literal 3507603929594167/1461501637330902918203684832716283019655932542976 binary64)) x (*.f64 z (/.f64 x (neg.f64 y)))))
(if (<=.f64 z #s(literal -8772904772180445/664613997892457936451903530140172288 binary64)) (/.f64 (*.f64 z (neg.f64 x)) y) (if (<=.f64 z #s(literal 3507603929594167/1461501637330902918203684832716283019655932542976 binary64)) x (*.f64 z (neg.f64 (/.f64 x y)))))
(if (<=.f64 z #s(literal -8772904772180445/664613997892457936451903530140172288 binary64)) (/.f64 (*.f64 x (neg.f64 z)) y) (if (<=.f64 z #s(literal 3507603929594167/1461501637330902918203684832716283019655932542976 binary64)) x (*.f64 z (neg.f64 (/.f64 x y)))))
(if (<=.f64 z #s(literal -1298074214633707/81129638414606681695789005144064 binary64)) (*.f64 z (/.f64 x (neg.f64 y))) (if (<=.f64 z #s(literal 8652089692998945/46768052394588893382517914646921056628989841375232 binary64)) x (*.f64 z (/.f64 x (neg.f64 y)))))
(if (or (<=.f64 z #s(literal -1298074214633707/81129638414606681695789005144064 binary64)) (not (<=.f64 z #s(literal 8652089692998945/46768052394588893382517914646921056628989841375232 binary64)))) (*.f64 z (neg.f64 (/.f64 x y))) x)
(if (<=.f64 z #s(literal -5841333965851681/162259276829213363391578010288128 binary64)) (*.f64 x (/.f64 z (neg.f64 y))) (if (<=.f64 z #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)) x (*.f64 x (/.f64 z (neg.f64 y)))))
(if (or (<=.f64 z #s(literal -5841333965851681/162259276829213363391578010288128 binary64)) (not (<=.f64 z #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)))) (*.f64 x (/.f64 z (neg.f64 y))) x)
(if (<=.f64 x #s(literal 99999999999999996863366107917975552 binary64)) x (/.f64 y (/.f64 y x)))
(if (<=.f64 x #s(literal 22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) x (*.f64 y (/.f64 x y)))
x

soundness1.2s (15.5%)

Rules
1090×log1p-expm1-u
1090×expm1-log1p-u
1006×log1p-expm1-u
880×fma-neg
879×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023257
1380213
25855213
024222
1395193
26220193
036385
190369
2286319
31228308
43445308
55188308
66721308
77150308
87333308
97341306
054310705
112389574
239939382
016126
1225126
23265126
01488
119485
2295385
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 589 to 231 computations (60.8% saved)

preprocess69.0ms (0.9%)

Compiler

Compiled 428 to 222 computations (48.1% saved)

end0.0ms (0%)

Profiling

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