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

Time bar (total: 4.7s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

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

sample1.1s (22.8%)

Results
846.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 546.0ms
ival-div: 385.0ms (70.5% of total)
ival-mult: 74.0ms (13.6% of total)
ival-sub: 70.0ms (12.8% of total)
const: 14.0ms (2.6% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess109.0ms (2.3%)

Algorithm
egg-herbie
Rules
661×fma-define
378×fma-neg
86×unsub-neg
83×distribute-lft-neg-in
79×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
Symmetry

(sort x y)

explain79.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(*.f64 x y)
00-0-z
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
Results
49.0ms512×0valid
Compiler

Compiled 70 to 29 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (40.6% of total)
ival-sub: 5.0ms (29% of total)
ival-mult: 5.0ms (29% of total)
const: 1.0ms (5.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 36 to 19 computations (47.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify44.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z #s(literal -8 binary64))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
cost-diff-6272
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff0
(/.f64 z #s(literal 8 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
212×fma-define
147×fma-neg
44×distribute-lft-neg-in
31×cancel-sign-sub-inv
30×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020158
128150
240150
351150
480150
5126150
6233150
7405150
8591150
9796150
10895150
11910150
12912150
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
z
#s(literal -8 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -8 binary64)

localize59.0ms (1.3%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
accuracy100.0%
(/.f64 z #s(literal -8 binary64))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(/.f64 z #s(literal 8 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
46.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 16.0ms (61.2% of total)
ival-fma: 5.0ms (19.1% of total)
ival-mult: 2.0ms (7.6% of total)
ival-sub: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.4%)

Counts
7 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal -8 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
Calls

39 calls:

TimeVariablePointExpression
4.0ms
z
@0
(- (/ (* x y) 2) (/ z 8))
1.0ms
z
@-inf
(/ z 8)
1.0ms
y
@0
(/ (* x y) 2)
1.0ms
x
@inf
(/ (* x y) 2)
1.0ms
x
@0
(/ (* x y) 2)

rewrite271.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
1078×log1p-expm1-u
1078×expm1-log1p-u
262×fma-define
176×log1p-undefine
144×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020130
1255122
23671122
Stop Event
node limit
Counts
7 → 340
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 z #s(literal -8 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 y (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.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))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))
(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 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))))
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(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) #s(literal -8 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))

simplify186.0ms (4%)

Algorithm
egg-herbie
Rules
484×fma-neg
469×cancel-sign-sub-inv
387×associate-*r/
327×distribute-lft-neg-in
320×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048712856
1106712267
2326512087
Stop Event
node limit
Counts
472 → 327
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
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(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
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(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) z)

eval39.0ms (0.8%)

Compiler

Compiled 4706 to 800 computations (83% saved)

prune47.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3234327
Fresh000
Picked112
Done000
Total3245329
Accuracy
100.0%
Counts
329 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.3%
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
49.3%
(*.f64 z #s(literal -1/8 binary64))
88.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
88.6%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 66 to 45 computations (31.8% saved)

simplify67.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)
cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
cost-diff0
(*.f64 z #s(literal -1/8 binary64))
cost-diff-6144
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
cost-diff-6144
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
Rules
629×distribute-rgt-neg-in
615×distribute-lft-neg-in
547×associate-/r/
445×div-sub
402×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030434
175428
2212424
3628397
42534397
55995397
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
x
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
y
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
#s(literal -1/8 binary64)
(/.f64 z y)
z
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z))
#s(literal 8 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
z
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
Outputs
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
x
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 z (*.f64 x #s(literal -8 binary64)))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
y
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z y)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 z (/.f64 #s(literal -1/8 binary64) y)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 z (*.f64 y #s(literal -8 binary64))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -1/8 binary64) y))
(/.f64 z (*.f64 y #s(literal -8 binary64)))
#s(literal -1/8 binary64)
(/.f64 z y)
z
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
z
#s(literal -1/8 binary64)
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z))
(-.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(fma.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)) #s(literal 8 binary64))
#s(literal 8 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)
(*.f64 z (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(*.f64 (/.f64 z x) (/.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) (*.f64 x y))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
z
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 #s(literal 16 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 16 binary64) y) x)

localize99.0ms (2.1%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z))
accuracy99.7%
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
accuracy94.0%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)
accuracy82.6%
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
accuracy100.0%
(*.f64 z #s(literal -1/8 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x))
accuracy88.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
accuracy88.6%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Results
64.0ms256×0valid
Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 15.0ms (47.8% of total)
ival-div: 11.0ms (35.1% of total)
ival-add: 3.0ms (9.6% of total)
ival-sub: 1.0ms (3.2% of total)
const: 1.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (1.4%)

Counts
17 → 282
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 z #s(literal -1/8 binary64))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) y) x)>
#<alt (/.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))>
#<alt (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
#<alt (/.f64 #s(literal 16 binary64) (*.f64 x y))>
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Calls

111 calls:

TimeVariablePointExpression
5.0ms
z
@0
(/ (- 8 (* (/ (/ 2 y) x) z)) (* (/ (/ 2 y) x) 8))
4.0ms
y
@-inf
(* (/ (/ 2 y) x) 8)
3.0ms
z
@0
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
2.0ms
z
@-inf
(* -1/8 (/ z x))
1.0ms
z
@inf
(/ (- 8 (* (/ (/ 2 y) x) z)) (* (/ (/ 2 y) x) 8))

rewrite202.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
253×associate-*r*
234×log1p-expm1-u
234×expm1-log1p-u
229×add-exp-log
229×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030412
1503400
Stop Event
node limit
Counts
17 → 474
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) (/.f64 z y))
(/.f64 z y)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1/8 binary64) (/.f64 x z))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/8 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(/.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) x) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal -1/2 binary64) y)))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) x (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/8 binary64) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/8 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/8 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.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 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.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) (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)))
(neg.f64 (/.f64 (neg.f64 z) 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)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) y)) x) (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(*.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) #s(literal 8 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 #s(literal 16 binary64) y)) x)
(pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 8 binary64))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(*.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z)))))
(*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z))) (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x))) (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z))))
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)))))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (-.f64 (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (-.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(exp.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 1 binary64)))

simplify421.0ms (9%)

Algorithm
egg-herbie
Rules
687×fma-neg
387×times-frac
379×*-commutative
334×associate-/l*
299×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0104124831
1239623959
2792023911
Stop Event
node limit
Counts
756 → 682
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
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(*.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) #s(literal 8 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (/.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 8 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 #s(literal 2 binary64) (*.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 #s(literal 16 binary64) y)) x)
(pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (/.f64 (/.f64 #s(literal 16 binary64) y) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 8 binary64))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(*.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z)))))
(*.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z))) (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x))) (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z))))
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x))))
(/.f64 (neg.f64 (-.f64 #s(literal 512 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 64 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 z x)))))
(/.f64 (+.f64 #s(literal 512 binary64) (pow.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (-.f64 (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) (*.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(/.f64 (-.f64 #s(literal 64 binary64) (*.f64 (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) (-.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))
(pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(exp.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
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(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)) #s(literal 8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))))))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 8 binary64) (*.f64 z (/.f64 #s(literal -2 binary64) (*.f64 x y))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 z x) y) #s(literal -2 binary64)) #s(literal 8 binary64))
(fma.f64 z (/.f64 (/.f64 #s(literal -2 binary64) y) x) #s(literal 8 binary64))

eval114.0ms (2.5%)

Compiler

Compiled 14585 to 2556 computations (82.5% saved)

prune139.0ms (3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New7552757
Fresh000
Picked134
Done011
Total7566762
Accuracy
100.0%
Counts
762 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
49.3%
(*.f64 z #s(literal -1/8 binary64))
88.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
88.6%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 66 to 49 computations (25.8% saved)

simplify293.0ms (6.3%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
cost-diff256
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
Rules
2330×associate-/l/
1843×associate-/r/
1465×*-commutative
359×associate-*r*
258×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016121
127115
255115
392115
4143115
5197115
6596115
72312115
82548115
92548115
104071115
114072115
124072115
134443115
144443115
155481115
165701115
175768115
185770115
195778115
205778115
216521115
226521115
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
y
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
#s(literal 8 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x
Outputs
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
y
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
#s(literal 8 binary64)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 16 binary64) y) x)
(/.f64 (/.f64 #s(literal 16 binary64) x) y)
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/.f64 #s(literal 2 binary64) (*.f64 x y))
(/.f64 #s(literal 2 binary64) (*.f64 y x))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
x

localize50.0ms (1.1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 2 binary64) y)
accuracy100.0%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64))
accuracy99.7%
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
accuracy99.3%
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
accuracy100.0%
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
Results
35.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (51.3% of total)
ival-mult: 6.0ms (51.3% of total)
const: 1.0ms (8.6% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 y (*.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ 8 (* (/ (/ 2 y) x) 8))
0.0ms
y
@0
(* y (* 1/2 x))
0.0ms
y
@inf
(/ 8 (* (/ (/ 2 y) x) 8))
0.0ms
x
@inf
(/ 8 (* (/ (/ 2 y) x) 8))
0.0ms
y
@-inf
(/ 8 (* (/ (/ 2 y) x) 8))

rewrite100.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
535×log-prod
192×log-div
150×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01638
119638
2285338
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x))
(/.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x))) #s(literal -8 binary64))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (sqrt.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(/.f64 (/.f64 #s(literal 8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) y)) x))
(*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) y)) x) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 1/8 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) y)) x)
(*.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))

simplify313.0ms (6.7%)

Algorithm
egg-herbie
Rules
680×exp-prod
644×fma-neg
501×times-frac
428×associate-/l*
424×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02063030
14543030
214663030
368783030
Stop Event
node limit
Counts
150 → 87
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x))
(/.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x))) #s(literal -8 binary64))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (sqrt.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(/.f64 (/.f64 #s(literal 8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x))) (sqrt.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) y)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) y)) x))
(*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) (neg.f64 x))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) y)) x) #s(literal 8 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 1/8 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x #s(literal 2 binary64)) y)
(*.f64 (/.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) y)) x)
(*.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal 16 binary64) y) x)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
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(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))

eval24.0ms (0.5%)

Compiler

Compiled 2241 to 643 computations (71.3% saved)

prune30.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2021203
Fresh000
Picked112
Done044
Total2036209
Accuracy
100.0%
Counts
209 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
49.3%
(*.f64 z #s(literal -1/8 binary64))
88.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
88.6%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 62 to 46 computations (25.8% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Rules
*-commutative
associate-/l*
associate-*l/
associate-/r/
associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11238
21538
31938
42038
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 2 binary64) y))
x
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
Outputs
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
x
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y

localize29.0ms (0.6%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 2 binary64) y)
accuracy99.7%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Results
23.0ms256×0valid
Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 4.0ms (91.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 #s(literal 2 binary64) y))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ x (/ 2 y))
0.0ms
x
@-inf
(/ x (/ 2 y))
0.0ms
x
@inf
(/ x (/ 2 y))
0.0ms
y
@-inf
(/ x (/ 2 y))
0.0ms
y
@inf
(/ x (/ 2 y))

rewrite80.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
504×log1p-expm1-u
504×expm1-log1p-u
496×unpow-prod-down
487×add-exp-log
446×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
110119
2139319
Stop Event
node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))

simplify95.0ms (2%)

Algorithm
egg-herbie
Rules
623×fma-neg
573×cube-prod
521×exp-prod
416×associate-*r/
343×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02513015
15122865
213372823
359742823
Stop Event
node limit
Counts
105 → 130
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) (/.f64 x (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 #s(literal 2 binary64) y))))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (cbrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) y)) (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
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(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (E.f64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) y)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))

eval28.0ms (0.6%)

Compiler

Compiled 1882 to 465 computations (75.3% saved)

prune24.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done055
Total1546160
Accuracy
100.0%
Counts
160 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(/.f64 x (/.f64 #s(literal 2 binary64) y))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
49.3%
(*.f64 z #s(literal -1/8 binary64))
88.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
52.3%
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
88.6%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 143 to 81 computations (43.4% saved)

regimes28.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 z #s(literal -1/8 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Calls

7 calls:

5.0ms
(/.f64 z #s(literal 8 binary64))
5.0ms
y
4.0ms
z
3.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes24.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 z #s(literal -1/8 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Calls

7 calls:

3.0ms
(/.f64 z #s(literal 8 binary64))
3.0ms
z
3.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 z #s(literal -1/8 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
Outputs
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
71.5%3x
75.2%3y
73.5%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 z #s(literal -1/8 binary64))
Outputs
(*.f64 z #s(literal -1/8 binary64))
Calls

3 calls:

2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
49.3%1x
49.3%1z
49.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.456682159083453e+89
6.078823375138217e+90
12.0ms
-3.450924932341879e-124
-1.5647405427493242e-128
Results
14.0ms240×0valid
Compiler

Compiled 258 to 209 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.9% of total)
ival-mult: 2.0ms (29.2% of total)
ival-sub: 1.0ms (14.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify74.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034134
146134
255134
361134
466134
568134
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 z #s(literal -1/8 binary64))
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 y #s(literal -7011739907936311/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (not (<=.f64 y #s(literal 249999999999999991621028178865975012456296523155031375744918649327294938859344807671627776 binary64)))) (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))

soundness367.0ms (7.9%)

Rules
661×fma-define
484×fma-neg
469×cancel-sign-sub-inv
387×associate-*r/
378×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
048712856
1106712267
2326512087
Stop Event
done
node limit
saturated
Compiler

Compiled 105 to 54 computations (48.6% saved)

preprocess33.0ms (0.7%)

Remove

(sort x y)

Compiler

Compiled 170 to 116 computations (31.8% saved)

end0.0ms (0%)

Profiling

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