Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 5.4s)

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 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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 (20.7%)

Results
889.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-mult: 587.0ms (91.5% of total)
ival-sub: 40.0ms (6.2% of total)
const: 11.0ms (1.7% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess96.0ms (1.8%)

Algorithm
egg-herbie
Rules
425×fma-define
210×fma-neg
96×distribute-lft-neg-in
94×associate-*r*
94×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51616375
61710375
71718375
81718375
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 y y) (*.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (*.f64 x (*.f64 z #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) (*.f64 y y))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 x #s(literal -4 binary64)) (*.f64 z z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Symmetry

(abs x)

(sort y z)

explain115.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-x
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
85.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 14.0ms (80% of total)
ival-sub: 3.0ms (17.1% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify51.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -4 binary64)))
cost-diff0
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
cost-diff-6272
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff0
(*.f64 x x)
Rules
336×fma-define
126×fma-neg
48×distribute-lft-neg-in
46×cancel-sign-sub-inv
28×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019171
135163
267163
3117163
4171163
5241163
6348163
7450163
8592163
9840163
10930163
11942163
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)

localize122.0ms (2.2%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy98.8%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.1%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
109.0ms256×0valid
Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (66.3% of total)
ival-fma: 3.0ms (22.1% of total)
ival-sub: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.5%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))>
#<alt (*.f64 y (*.f64 z #s(literal -4 binary64)))>
#<alt (*.f64 z #s(literal -4 binary64))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
Calls

39 calls:

TimeVariablePointExpression
10.0ms
x
@inf
(* x x)
1.0ms
y
@inf
(* y 4)
1.0ms
y
@inf
(* (* y 4) z)
1.0ms
y
@0
(* (* y 4) z)
1.0ms
z
@0
(* (* y 4) z)

rewrite369.0ms (6.8%)

Algorithm
batch-egg-rewrite
Rules
996×log1p-expm1-u
996×expm1-log1p-u
585×log-prod
422×fma-define
180×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019136
1235134
23090128
Stop Event
node limit
Counts
7 → 311
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (-.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
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(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
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(log.f64 (*.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
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simplify312.0ms (5.7%)

Algorithm
egg-herbie
Rules
741×times-frac
568×fma-neg
253×distribute-lft-neg-in
216×distribute-rgt-neg-in
178×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052015490
1109015240
2332914628
Stop Event
node limit
Counts
467 → 308
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
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(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 z #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 4 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(*.f64 z #s(literal -4 binary64))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(*.f64 z #s(literal -4 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal -4 binary64))

eval103.0ms (1.9%)

Compiler

Compiled 5686 to 769 computations (86.5% saved)

prune47.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3053308
Fresh000
Picked112
Done000
Total3064310
Accuracy
100.0%
Counts
310 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
47.2%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
93.7%
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
56.5%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Compiler

Compiled 46 to 32 computations (30.4% saved)

simplify223.0ms (4.1%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-12608
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
cost-diff-6336
(*.f64 x x)
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -4 binary64)))
cost-diff-6144
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
cost-diff0
(*.f64 #s(literal 4 binary64) z)
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Rules
860×fma-neg
728×fma-define
465×times-frac
444×associate-/r*
414×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023257
145256
291245
3196245
4454242
5817236
61329236
72972236
84171236
94749236
105180236
115410236
125464236
136151236
146906236
157273236
167787236
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
y
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 x x)
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
y
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 #s(literal -4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y z) #s(literal 4 binary64)))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
y
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
z
#s(literal -4 binary64)

localize78.0ms (1.4%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy98.6%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))
accuracy100.0%
(*.f64 #s(literal 4 binary64) z)
accuracy93.7%
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
accuracy87.4%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Results
47.0ms256×0valid
Compiler

Compiled 75 to 18 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (56.4% of total)
ival-sub: 4.0ms (17.4% of total)
ival-pow: 3.0ms (13% of total)
ival-div: 2.0ms (8.7% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
8 → 99
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) y)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
Calls

51 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/ (pow x 2) y)
1.0ms
z
@inf
(* y (- (/ (pow x 2) y) (* 4 z)))
1.0ms
y
@-inf
(* y (- (/ (pow x 2) y) (* 4 z)))
1.0ms
y
@0
(/ (pow x 2) y)
0.0ms
x
@inf
(/ (pow x 2) y)

rewrite188.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
850×log1p-expm1-u
850×expm1-log1p-u
643×fma-define
261×fma-neg
150×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023182
1331181
24394170
Stop Event
node limit
Counts
8 → 394
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y)))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
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(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (neg.f64 z) #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 z) #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))

simplify271.0ms (5%)

Algorithm
egg-herbie
Rules
661×fma-neg
440×distribute-lft-neg-in
408×distribute-rgt-neg-in
306×associate-*r*
277×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070918772
1151717733
2457017624
Stop Event
node limit
Counts
493 → 455
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
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(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -4 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (neg.f64 z) #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 z) #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
Outputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
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(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (*.f64 z #s(literal -8 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 z) #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (*.f64 z #s(literal -8 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (*.f64 z #s(literal -8 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (+.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (-.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (+.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y))

eval63.0ms (1.2%)

Compiler

Compiled 9436 to 1289 computations (86.3% saved)

prune70.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5134517
Fresh000
Picked303
Done011
Total5165521
Accuracy
100.0%
Counts
521 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
56.5%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
93.7%
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
5.9%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
5.9%
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
Compiler

Compiled 51 to 36 computations (29.4% saved)

simplify389.0ms (7.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z (*.f64 #s(literal -4 binary64) y))
cost-diff-6144
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
cost-diff0
(*.f64 #s(literal 4 binary64) z)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) y)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 y z))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z (*.f64 #s(literal -4 binary64) y))
cost-diff64
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
Rules
1055×fma-neg
881×associate-/l/
745×div-sub
706×fma-define
433×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022285
147269
296269
3187269
4431266
5669260
61103260
72448260
83897260
94289260
104584260
114781260
124846260
134910260
145806260
156263260
166445260
176457260
186465260
196473260
206473260
216521260
226521260
236769260
247417260
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
z
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 #s(literal 4 binary64) (*.f64 y z))
#s(literal 4 binary64)
(*.f64 y z)
y
z
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
y
(-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
(*.f64 z (*.f64 #s(literal -4 binary64) y))
z
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
Outputs
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
z
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 y #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (+.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 z #s(literal -4 binary64))))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (*.f64 x (/.f64 x y))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 z (*.f64 #s(literal -4 binary64) y)))
y
(-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z))
(+.f64 (*.f64 x (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))
(fma.f64 x (/.f64 x y) (*.f64 z #s(literal -4 binary64)))
(fma.f64 z #s(literal -4 binary64) (*.f64 x (/.f64 x y)))
(/.f64 (*.f64 x x) y)
(*.f64 x (/.f64 x y))
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
#s(literal 4 binary64)
z
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
z
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y

localize70.0ms (1.3%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 4 binary64) z)
accuracy93.7%
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
accuracy87.4%
(/.f64 (*.f64 x x) y)
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
accuracy100.0%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
accuracy100.0%
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
Results
43.0ms256×0valid
Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 13.0ms (72.5% of total)
ival-div: 2.0ms (11.2% of total)
ival-sub: 1.0ms (5.6% of total)
const: 1.0ms (5.6% of total)
ival-neg: 1.0ms (5.6% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
6 → 108
Calls
Call 1
Inputs
#<alt (neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (*.f64 #s(literal -4 binary64) y))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (/.f64 (*.f64 x x) y)>
#<alt (*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* -4 y)
0.0ms
y
@0
(* y (- (/ (* x x) y) (* 4 z)))
0.0ms
x
@inf
(* y (- (/ (* x x) y) (* 4 z)))
0.0ms
y
@-inf
(* y (- (/ (* x x) y) (* 4 z)))
0.0ms
z
@-inf
(* y (- (/ (* x x) y) (* 4 z)))

rewrite138.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
815×log1p-expm1-u
815×expm1-log1p-u
372×fma-define
224×expm1-undefine
224×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022141
1301128
24222125
Stop Event
node limit
Counts
6 → 187
Calls
Call 1
Inputs
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(/.f64 (*.f64 x x) y)
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z))
(*.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) z))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 z #s(literal -4 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (neg.f64 (*.f64 z #s(literal -4 binary64))) y)
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 z (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -4 binary64))) y)
(*.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64))
(*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 (neg.f64 z) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 z (*.f64 #s(literal -4 binary64) y)))

simplify172.0ms (3.2%)

Algorithm
egg-herbie
Rules
650×exp-prod
336×cancel-sign-sub-inv
307×associate-*r/
300×distribute-lft-neg-in
281×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03487199
17847157
224937117
371427117
Stop Event
node limit
Counts
295 → 195
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z))
(*.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z y)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) z))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 z #s(literal -4 binary64)) y)
(*.f64 (*.f64 z #s(literal -4 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (neg.f64 (*.f64 z #s(literal -4 binary64))) y)
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 z (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 z #s(literal -4 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -4 binary64))) y)
(*.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64))
(*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 (neg.f64 z) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 (neg.f64 z) (sqrt.f64 (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))) #s(literal 2 binary64))
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 x (/.f64 x y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) y))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64))) y) (fma.f64 (*.f64 z #s(literal 4 binary64)) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64))) y) (fma.f64 z #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 z (*.f64 #s(literal -4 binary64) y)))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
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(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) y (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))

eval32.0ms (0.6%)

Compiler

Compiled 3170 to 739 computations (76.7% saved)

prune37.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2671268
Fresh000
Picked134
Done011
Total2685273
Accuracy
100.0%
Counts
273 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.9%
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
56.5%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
93.7%
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
5.9%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Compiler

Compiled 50 to 35 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
Outputs
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y

localize20.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
accuracy100.0%
(*.f64 z #s(literal 4 binary64))
Results
14.0ms256×0valid
Compiler

Compiled 15 to 7 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (90.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 z #s(literal 4 binary64)) y)>
#<alt (*.f64 z #s(literal 4 binary64))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(* (* z 4) y)
0.0ms
z
@0
(* (* z 4) y)
0.0ms
z
@-inf
(* (* z 4) y)
0.0ms
y
@-inf
(* (* z 4) y)
0.0ms
y
@inf
(* (* z 4) y)

rewrite66.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
403×unpow-prod-down
360×log1p-expm1-u
360×expm1-log1p-u
346×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2100629
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal 4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))

simplify85.0ms (1.6%)

Algorithm
egg-herbie
Rules
778×fma-define
745×fma-neg
416×associate-*r*
322×exp-sum
314×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01291478
12211478
24251478
39051478
425121478
553731474
Stop Event
node limit
Counts
78 → 60
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal 4 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
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(*.f64 z (*.f64 #s(literal 4 binary64) y))
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(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
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(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
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(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
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(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 4 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (E.f64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(sqrt.f64 (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z) y))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 64 binary64)))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 3 binary64)))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 1/3 binary64)))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) #s(literal 2 binary64)))
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) z)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))) (sqrt.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) z)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal 4 binary64) z)
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) z))
(*.f64 #s(literal 4 binary64) z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 64 binary64)))
(*.f64 #s(literal 4 binary64) z)
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) z)
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z #s(literal 4 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) z)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) z)

eval20.0ms (0.4%)

Compiler

Compiled 620 to 198 computations (68.1% saved)

prune15.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done044
Total60565
Accuracy
100.0%
Counts
65 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.9%
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
56.5%
(*.f64 z (*.f64 #s(literal -4 binary64) y))
93.7%
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
5.9%
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Compiler

Compiled 127 to 65 computations (48.8% saved)

regimes29.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

7 calls:

7.0ms
z
4.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
y
4.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.8%1(*.f64 x x)
98.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.8%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes26.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (-.f64 (/.f64 (*.f64 x x) y) (*.f64 #s(literal 4 binary64) z)))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

7 calls:

6.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.8%1(*.f64 x x)
98.8%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.8%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes13.0ms (0.2%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

4 calls:

5.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
86.2%2x
67.8%3y
71.7%3z
86.2%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(neg.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))
Outputs
(*.f64 z (*.f64 #s(literal -4 binary64) y))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
56.5%1y
56.5%1z
56.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -33.5b remaining (-120.4%)

Threshold costs -33.5b (-120.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Calls

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
56.5%1x
56.5%1y
56.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
4392282.052109162
271321063132.50848
Results
6.0ms128×0valid
Compiler

Compiled 178 to 133 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (71.9% of total)
ival-sub: 1.0ms (36% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify86.0ms (1.6%)

Algorithm
egg-herbie
Rules
16×*-commutative
10×sub-neg
10×+-commutative
distribute-lft-neg-in
distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
149185
276185
395185
4107185
5112185
6113185
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 (*.f64 x x) #s(literal 16000000000 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 16000000000 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(if (<=.f64 (*.f64 x x) #s(literal 16000000000 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))

soundness733.0ms (13.5%)

Rules
741×times-frac
661×fma-neg
568×fma-neg
440×distribute-lft-neg-in
425×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51616375
61710375
71718375
81718375
052015490
1109015240
2332914628
070918772
1151717733
2457017624
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 323 to 109 computations (66.3% saved)

preprocess187.0ms (3.4%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 344 to 196 computations (43% saved)

end0.0ms (0%)

Profiling

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