Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

Time bar (total: 5.2s)

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 11 to 8 computations (27.3% 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
791.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult: 141.0ms (67.1% of total)
ival-sub: 55.0ms (26.2% of total)
const: 11.0ms (5.2% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess86.0ms (1.6%)

Algorithm
egg-herbie
Rules
584×fma-define
153×fma-neg
95×distribute-lft-in
93×unsub-neg
91×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036320
1100316
2196300
3559296
41103296
51750296
61830296
71833296
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) (neg.f64 x))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 y z)))
(*.f64 x (+.f64 (*.f64 y z) #s(literal -1 binary64)))
(*.f64 x (fma.f64 y z #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
Symmetry

(negabs x)

(sort y z)

explain66.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
110-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
00-0-x
00-0-(-.f64 #s(literal 1 binary64) (*.f64 y z))
00-0-(*.f64 y z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-y
Results
38.0ms512×0valid
Compiler

Compiled 56 to 23 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (77.5% of total)
ival-sub: 3.0ms (19.4% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Compiler

Compiled 20 to 14 computations (30% saved)

localize137.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff6336
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
cost-diff6336
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
cost-diff0
(*.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y z))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
accuracy100.0%
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
accuracy100.0%
(neg.f64 y)
accuracy95.8%
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
Rules
419×fma-define
130×fma-neg
51×distribute-lft-in
46×associate-*r*
44×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018141
135141
255141
3110141
4265141
5435141
6563141
7730141
8948141
91078141
101151141
111171141
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
x
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
z
(neg.f64 y)
y
#s(literal 1 binary64)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
x
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
z
(neg.f64 y)
y
#s(literal 1 binary64)
Results
32.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.4% of total)
ival-fma: 3.0ms (24.2% of total)
ival-sub: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.4%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))>
#<alt (neg.f64 y)>
#<alt (fma.f64 z (neg.f64 y) #s(literal 1 binary64))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
Calls

39 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(* x (- 1 (* y z)))
1.0ms
y
@inf
(neg y)
1.0ms
y
@inf
(* x (- 1 (* y z)))
1.0ms
x
@0
(* x (- 1 (* y z)))
1.0ms
x
@0
(* x (+ (* z (neg y)) 1))

rewrite311.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
667×unpow-prod-down
640×log1p-expm1-u
640×expm1-log1p-u
512×prod-diff
358×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018115
120995
2271995
Stop Event
node limit
Counts
6 → 311
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 y z)
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
(neg.f64 y)
(fma.f64 z (neg.f64 y) #s(literal 1 binary64))
Outputs
(+.f64 x (*.f64 x (*.f64 y z)))
(+.f64 x (*.f64 (*.f64 y z) x))
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(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 y z #s(literal 1 binary64))))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y z) x))
(fma.f64 x (*.f64 y z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y z) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x (*.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 y z) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y z) x))
(fma.f64 (*.f64 y z) x x)
(+.f64 #s(literal 0 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 y (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 y)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 1 binary64)))
(+.f64 (*.f64 y z) #s(literal 1 binary64))
(+.f64 (*.f64 y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(-.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 y z))
(*.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal -1 binary64)))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 y z)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 y z))) #s(literal 2 binary64)))

simplify178.0ms (3.4%)

Algorithm
egg-herbie
Rules
382×associate-*r/
374×unswap-sqr
301×cancel-sign-sub-inv
291×associate-*r*
288×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049411035
198910663
2325110592
Stop Event
node limit
Counts
431 → 274
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal -1 binary64)))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y z #s(literal 1 binary64))))
(hypot.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 y z)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 y z))) #s(literal 2 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (*.f64 x z) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 x y) (/.f64 x z)))
(*.f64 z (fma.f64 (neg.f64 x) y (/.f64 x z)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) y))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(-.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (fma.f64 y z #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 7 binary64)) (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (*.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (fma.f64 y z #s(literal 1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y z #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal -1 binary64)))
(pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 3 binary64))
(fma.f64 y z #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y z #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 y z #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 y z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 y z #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y z #s(literal 1 binary64)))))
(fma.f64 y z #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y z #s(literal 1 binary64)) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(hypot.f64 (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(fma.f64 y z #s(literal 1 binary64))
(hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 y z)) (*.f64 y z)) (sqrt.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 y z #s(literal 1 binary64))))
(fma.f64 y z #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 y z)))
(fma.f64 y z #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 y z))) #s(literal 2 binary64)))
(fma.f64 y z #s(literal 1 binary64))

eval90.0ms (1.7%)

Compiler

Compiled 3435 to 882 computations (74.3% saved)

prune122.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2686274
Fresh000
Picked022
Done000
Total2688276
Accuracy
100.0%
Counts
276 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
84.4%
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
51.8%
(*.f64 y (*.f64 z (neg.f64 x)))
95.8%
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.7%
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
50.7%
(*.f64 x (*.f64 y (neg.f64 z)))
46.7%
x
Compiler

Compiled 138 to 92 computations (33.3% saved)

localize412.0ms (7.9%)

Algorithm
egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 y (*.f64 x z))
cost-diff0
(neg.f64 (*.f64 y (*.f64 x z)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(*.f64 y (*.f64 z (neg.f64 x)))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
cost-diff0
(*.f64 x (*.f64 y (neg.f64 z)))
cost-diff-6208
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
cost-diff-6208
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(neg.f64 (*.f64 y (*.f64 x z)))
accuracy100.0%
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
accuracy91.9%
(*.f64 y (*.f64 x z))
accuracy100.0%
(*.f64 z (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy91.9%
(*.f64 y (*.f64 z (neg.f64 x)))
accuracy100.0%
(*.f64 y (neg.f64 z))
accuracy100.0%
(neg.f64 z)
accuracy91.6%
(*.f64 x (*.f64 y (neg.f64 z)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
accuracy99.9%
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy95.8%
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
Rules
1349×fma-define
946×fma-neg
370×div-sub
337×distribute-lft-neg-in
262×distribute-neg-frac2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025347
161347
2142320
3270320
4466320
5970320
62976320
75308320
86376320
96700320
106760320
116852320
127924320
137939320
147981320
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
x
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
y
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
z
x
(*.f64 x (*.f64 y (neg.f64 z)))
x
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 y (*.f64 z (neg.f64 x)))
y
(*.f64 z (neg.f64 x))
z
(neg.f64 x)
x
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
x
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 x z))
y
(*.f64 x z)
z
Outputs
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
x
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(neg.f64 (fma.f64 y z #s(literal -1 binary64)))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
y
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
z
x
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 x) (*.f64 y z))
x
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 x) (*.f64 y z))
y
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
z
(neg.f64 x)
x
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
x
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 x) (*.f64 y z))
(*.f64 y (*.f64 x z))
(*.f64 x (*.f64 y z))
y
(*.f64 x z)
z
Results
99.0ms256×0valid
Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 15.0ms (51.7% of total)
ival-sub: 6.0ms (20.7% of total)
ival-neg: 4.0ms (13.8% of total)
ival-div: 2.0ms (6.9% of total)
ival-add: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.7%)

Counts
14 → 318
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) y) z)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 x (*.f64 y (neg.f64 z)))>
#<alt (neg.f64 z)>
#<alt (*.f64 y (neg.f64 z))>
#<alt (*.f64 y (*.f64 z (neg.f64 x)))>
#<alt (neg.f64 x)>
#<alt (*.f64 z (neg.f64 x))>
#<alt (*.f64 y (*.f64 x z))>
#<alt (+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))>
#<alt (neg.f64 (*.f64 y (*.f64 x z)))>
#<alt (*.f64 x z)>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (*.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(* x (* y (neg z)))
1.0ms
x
@0
(* x (* y (- (/ 1 y) z)))
1.0ms
y
@-inf
(* x (* y (- (/ 1 y) z)))
1.0ms
y
@inf
(* x (* y (neg z)))
1.0ms
x
@0
(* x (* y (neg z)))

rewrite175.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
835×log1p-expm1-u
718×expm1-log1p-u
237×associate-*r*
162×add-exp-log
162×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025296
1395256
25583256
Stop Event
node limit
Counts
14 → 378
Calls
Call 1
Inputs
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z))
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
(*.f64 x (*.f64 y (neg.f64 z)))
(neg.f64 z)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 z (neg.f64 x)))
(neg.f64 x)
(*.f64 z (neg.f64 x))
(*.f64 y (*.f64 x z))
(+.f64 x (neg.f64 (*.f64 y (*.f64 x z))))
(neg.f64 (*.f64 y (*.f64 x z)))
(*.f64 x z)
Outputs
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (*.f64 x z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) (*.f64 y (*.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y))))
(/.f64 (*.f64 (*.f64 x y) (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) z))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) y) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) y)) (*.f64 y z))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y))))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 (/.f64 #s(literal 1 binary64) y) z))
(pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) z))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) y) z)
(+.f64 z (/.f64 #s(literal 1 binary64) y))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (fma.f64 z #s(literal 1 binary64) z))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) z))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y)))))
(*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 z y))))
(/.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (fma.f64 z z (/.f64 z y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) z)
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) z)
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(sqrt.f64 (pow.f64 y #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y))))
(cbrt.f64 (pow.f64 y #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
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(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y (*.f64 x z)))) (sqrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) z)
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)))
(*.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) x)
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(*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
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(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x z))))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
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(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))

simplify248.0ms (4.7%)

Algorithm
egg-herbie
Rules
597×associate-*l*
586×associate-*r*
432×cube-prod
418×exp-prod
294×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062816911
1131316098
2638216098
Stop Event
node limit
Counts
696 → 416
Calls
Call 1
Inputs
x
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(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 x y)))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 x z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 z (fma.f64 x (neg.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 z (fma.f64 x (neg.f64 y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 x z)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))
(*.f64 z (fma.f64 x (neg.f64 y) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 x y)))
(*.f64 (fma.f64 x y (/.f64 x (neg.f64 z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 x y)))
(*.f64 (fma.f64 x y (/.f64 x (neg.f64 z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 x y))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 x y)))
(*.f64 (fma.f64 x y (/.f64 x (neg.f64 z))) (neg.f64 z))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 z (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) (*.f64 y z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 z) (+.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 z) (+.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y (/.f64 #s(literal 1 binary64) z))))
(*.f64 (neg.f64 z) (-.f64 y (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 z) (+.f64 y (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y z))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y z)) y)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal -1 binary64) z (/.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(*.f64 z (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
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(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
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(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
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(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
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(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (*.f64 x z)))
(fma.f64 y (*.f64 x z) x)
(*.f64 x (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (*.f64 x z) x)
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 y z))
(*.f64 y (*.f64 x z))
(*.f64 y (*.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 x z))
(*.f64 z (*.f64 x y))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 y z) x)
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 x z) y)
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 x z) (neg.f64 y))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 y (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64)))
(*.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x z)))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) x))
(*.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) y))
(*.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 y (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x z)))
(*.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) x))
(*.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) y))
(*.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 y (*.f64 x z))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x z)))
(*.f64 y (*.f64 x z))
(*.f64 (neg.f64 y) (*.f64 x z))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x y) z)
(*.f64 y (*.f64 x z))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))) (sqrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 (*.f64 x y)) z)
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 y (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y (*.f64 x z)))) (sqrt.f64 (*.f64 y (*.f64 x z))))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) z)
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)))
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) x)
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 y (*.f64 x z))
(*.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) z)
(*.f64 x (*.f64 z (neg.f64 y)))
(*.f64 x (*.f64 y (neg.f64 z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64))) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (*.f64 y (*.f64 x z)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64))) (*.f64 y (*.f64 x z)))
(pow.f64 (*.f64 y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 y (*.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) #s(literal 3 binary64))
(*.f64 y (*.f64 x z))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) #s(literal 2 binary64))
(*.f64 y (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y (*.f64 x z)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) x))
(*.f64 y (*.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x z)))))
(*.f64 y (*.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x z)) #s(literal 3 binary64)))
(*.f64 y (*.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(*.f64 y (*.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x z))))
(*.f64 y (*.f64 x z))
(exp.f64 (log.f64 (*.f64 y (*.f64 x z))))
(*.f64 y (*.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x z))) #s(literal 1 binary64)))
(*.f64 y (*.f64 x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 x z)
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x z))
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 x z)

eval50.0ms (1%)

Compiler

Compiled 4967 to 1212 computations (75.6% saved)

prune109.0ms (2.1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4133416
Fresh101
Picked145
Done022
Total4159424
Accuracy
100.0%
Counts
424 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(-.f64 x (*.f64 y (*.f64 x z)))
93.6%
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
54.1%
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
51.8%
(*.f64 y (*.f64 z (neg.f64 x)))
95.8%
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.7%
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
50.7%
(*.f64 x (*.f64 y (neg.f64 z)))
46.7%
x
Compiler

Compiled 94 to 59 computations (37.2% saved)

localize148.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff-6336
(-.f64 x (*.f64 y (*.f64 x z)))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 y (*.f64 x z))
cost-diff-6272
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) x) z)
cost-diff0
(*.f64 y (*.f64 x z))
cost-diff0
(sqrt.f64 (*.f64 y (*.f64 x z)))
cost-diff6912
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
cost-diff13184
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(-.f64 x (*.f64 y (*.f64 x z)))
accuracy96.7%
(*.f64 y (*.f64 x z))
accuracy100.0%
(*.f64 (neg.f64 y) x)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
accuracy95.1%
(*.f64 (*.f64 (neg.f64 y) x) z)
accuracy100.0%
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
accuracy99.7%
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
accuracy96.7%
(*.f64 y (*.f64 x z))
accuracy89.2%
(sqrt.f64 (*.f64 y (*.f64 x z)))
Rules
429×fma-define
182×fma-neg
56×associate-*r*
48×associate-*l*
47×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021519
143332
283332
3169323
4239323
5362323
6644323
7906323
81147323
91270323
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
x
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 y (*.f64 x z))
y
(*.f64 x z)
z
(neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
x
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
z
(-.f64 x (*.f64 y (*.f64 x z)))
x
(*.f64 y (*.f64 x z))
y
(*.f64 x z)
z
Outputs
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
(fma.f64 z (*.f64 y (neg.f64 x)) x)
(fma.f64 x (*.f64 y (neg.f64 z)) x)
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (fma.f64 y z #s(literal -1 binary64))))
x
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
(*.f64 z (*.f64 y (neg.f64 x)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 y (*.f64 x (neg.f64 z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 z y)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(*.f64 y (*.f64 x z))
(*.f64 x (*.f64 z y))
(*.f64 x (*.f64 y z))
y
(*.f64 x z)
z
(neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 z y))))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
(fma.f64 z (*.f64 y (neg.f64 x)) x)
(fma.f64 x (*.f64 y (neg.f64 z)) x)
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (fma.f64 y z #s(literal -1 binary64))))
x
(*.f64 (*.f64 (neg.f64 y) x) z)
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
(*.f64 z (*.f64 y (neg.f64 x)))
(*.f64 y (*.f64 z (neg.f64 x)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(neg.f64 y)
y
z
(-.f64 x (*.f64 y (*.f64 x z)))
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
(fma.f64 z (*.f64 y (neg.f64 x)) x)
(fma.f64 x (*.f64 y (neg.f64 z)) x)
(*.f64 x (fma.f64 y (neg.f64 z) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (fma.f64 y z #s(literal -1 binary64))))
x
(*.f64 y (*.f64 x z))
(*.f64 x (*.f64 z y))
(*.f64 x (*.f64 y z))
y
(*.f64 x z)
z
Results
19.0ms134×0invalid
63.0ms122×0valid
Compiler

Compiled 99 to 15 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (52.5% of total)
ival-add: 3.0ms (17.5% of total)
ival-sqrt: 2.0ms (11.7% of total)
ival-neg: 2.0ms (11.7% of total)
ival-sub: 1.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.7%)

Counts
8 → 240
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 y (*.f64 x z)))>
#<alt (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))>
#<alt (+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))>
#<alt (*.f64 (*.f64 (neg.f64 y) x) z)>
#<alt (+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))>
#<alt (*.f64 (neg.f64 y) x)>
#<alt (-.f64 x (*.f64 y (*.f64 x z)))>
#<alt (*.f64 x z)>
Outputs
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 x (*.f64 y z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) (*.f64 x y)))))>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* (sqrt (* y (* x z))) (neg (sqrt (* y (* x z)))))
1.0ms
z
@-inf
(* (sqrt (* y (* x z))) (neg (sqrt (* y (* x z)))))
1.0ms
x
@-inf
(* (sqrt (* y (* x z))) (neg (sqrt (* y (* x z)))))
1.0ms
y
@-inf
(sqrt (* y (* x z)))
0.0ms
x
@0
(* (neg y) x)

rewrite260.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
885×log1p-expm1-u
885×expm1-log1p-u
335×fma-define
169×fma-neg
167×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021201
1329177
24706177
Stop Event
node limit
Counts
8 → 530
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))))
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
(*.f64 (*.f64 (neg.f64 y) x) z)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (neg.f64 y) x)
(-.f64 x (*.f64 y (*.f64 x z)))
(*.f64 x z)
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 y z))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) (cbrt.f64 (*.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) (neg.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x z)))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x (*.f64 y z))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (*.f64 y z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 x z)))
(*.f64 (neg.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 (*.f64 x z)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (*.f64 x (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (*.f64 x (*.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3/2 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x z) (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (*.f64 y z)))))))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))
(fabs.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y z))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 x (*.f64 x (*.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (*.f64 y z) x)) (/.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 x (*.f64 y z) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y z) x)) (sqrt.f64 (fma.f64 x (*.f64 y z) x)))
(*.f64 (fma.f64 x (*.f64 y z) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y z) x) (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x (*.f64 y z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 x (*.f64 x (*.f64 y z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (*.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 y z)) x))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y z) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y z) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y z) x)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x z) x)
(fma.f64 y (neg.f64 (*.f64 x z)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) (*.f64 y x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 x (*.f64 z y) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 (*.f64 x z) y x)
(fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y x) z x)
(fma.f64 (*.f64 y x) (neg.f64 z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y z)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y z) x)) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x z)) y) x)
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(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
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(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (*.f64 y z) x x)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))

simplify759.0ms (14.6%)

Algorithm
egg-herbie
Rules
401×associate-/r*
266×cancel-sign-sub-inv
265×distribute-lft-in
253×associate-*r*
249×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047234227
1104232084
2312527684
3777027684
Stop Event
node limit
Counts
770 → 326
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
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(fma.f64 (fma.f64 x (*.f64 y z) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (fma.f64 x (*.f64 y z) x) #s(literal 1 binary64) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 y z) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y z) x)) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (neg.f64 (*.f64 x z)) y x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 y z)) (fma.f64 x (*.f64 y z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x (*.f64 y z)) #s(literal 1/4 binary64)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y z))) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (cbrt.f64 (*.f64 x (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) x)
(fma.f64 (*.f64 z y) x x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x y) z))
(sqrt.f64 (*.f64 x (*.f64 y z)))
(sqrt.f64 (*.f64 y (*.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 x (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 x (neg.f64 (*.f64 y z)))
(*.f64 x (*.f64 y (neg.f64 z)))
(*.f64 y (*.f64 x (neg.f64 z)))
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(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (*.f64 y x) z (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (fma.f64 (*.f64 x y) z (*.f64 (*.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (*.f64 z (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 z) (*.f64 y x) (*.f64 x (*.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (fma.f64 (*.f64 x y) z (*.f64 (*.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (*.f64 z (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64)) (*.f64 x (*.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 (*.f64 x (*.f64 y z))) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (fma.f64 (*.f64 x y) z (*.f64 (*.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (*.f64 z (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 (neg.f64 (*.f64 x z)) y (*.f64 x (*.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y z)))) (fma.f64 y (*.f64 x z) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 x)) (fma.f64 (*.f64 x y) z (*.f64 (*.f64 x y) z)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 x)) (*.f64 z (*.f64 y (*.f64 x #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 y z))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))
(*.f64 x (neg.f64 (fma.f64 y z #s(literal -1 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x z)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (sqrt.f64 (*.f64 x z))) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x z)) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y x)) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 y z) x x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 y z))) (cbrt.f64 (*.f64 x (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) x)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x y) z)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x y) z)))) x)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 y z)))) #s(literal 4 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 x z))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (*.f64 x z)))) #s(literal 4 binary64)) x)
(fma.f64 (*.f64 z y) x x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) z x)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 x y) x)))
(fma.f64 x (*.f64 y z) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(log1p.f64 (expm1.f64 (*.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 x z)

eval196.0ms (3.7%)

Compiler

Compiled 8840 to 1477 computations (83.3% saved)

prune139.0ms (2.7%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New4990499
Fresh000
Picked033
Done066
Total4999508
Accuracy
100.0%
Counts
508 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(-.f64 x (*.f64 y (*.f64 x z)))
93.6%
(+.f64 x (*.f64 (*.f64 (neg.f64 y) x) z))
54.1%
(+.f64 x (*.f64 (sqrt.f64 (*.f64 y (*.f64 x z))) (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x z))))))
51.8%
(*.f64 y (*.f64 z (neg.f64 x)))
95.8%
(*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64)))
95.8%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
95.7%
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) z)))
50.7%
(*.f64 x (*.f64 y (neg.f64 z)))
46.7%
x
Compiler

Compiled 183 to 97 computations (47% saved)

regimes69.0ms (1.3%)

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

6 calls:

49.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
4.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(*.f64 y z)
Results
AccuracySegmentsBranch
98.5%2x
95.8%1y
95.8%1z
98.7%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.7%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.7%2(*.f64 y z)
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes31.0ms (0.6%)

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

3 calls:

24.0ms
(*.f64 y z)
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 y z))
Results
AccuracySegmentsBranch
98.7%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z)))
98.7%2(-.f64 #s(literal 1 binary64) (*.f64 y z))
98.7%2(*.f64 y z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
76.8%3y
78.3%3z
62.7%6x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

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

2 calls:

2.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
74.8%3y
76.0%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes46.0ms (0.9%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

43.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
46.7%1x
46.7%1y
46.7%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5478094244800285e+206
1.4681194180258953e+208
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5478094244800285e+206
1.4681194180258953e+208
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch32.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.09441859066948786
14367068.991920365
12.0ms
-3.5031800873655446e-104
-2.6644704787261906e-111
Results
15.0ms288×0valid
Compiler

Compiled 286 to 210 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (62.2% of total)
ival-sub: 2.0ms (31.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.09441859066948786
14367068.991920365
13.0ms
-3.5031800873655446e-104
-2.6644704787261906e-111
Results
16.0ms288×0valid
Compiler

Compiled 286 to 210 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (75.6% of total)
ival-sub: 2.0ms (30.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041276
175276
298276
3118276
4124276
5126276
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 y z) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) (*.f64 y (*.f64 z (neg.f64 x))))
(if (<=.f64 (*.f64 y z) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y (*.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 z #s(literal 2100000 binary64)) x (*.f64 y (*.f64 z (neg.f64 x)))))
(if (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 x (*.f64 y (neg.f64 z))) (if (<=.f64 z #s(literal 30000 binary64)) x (*.f64 x (*.f64 y (neg.f64 z)))))
x
Outputs
(if (<=.f64 (*.f64 y z) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (*.f64 x (fma.f64 z (neg.f64 y) #s(literal 1 binary64))) (*.f64 y (*.f64 z (neg.f64 x))))
(if (<=.f64 (*.f64 y z) #s(literal 200000000000000007778715510217677686261474498590404026668604764015382588578769793526159931215755402774652920623882426582706341222818875123308036734442537880708869172525233887089132911615311892438644481327104 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 y (*.f64 z (neg.f64 x))))
(if (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 y (*.f64 z (neg.f64 x))) (if (<=.f64 z #s(literal 2100000 binary64)) x (*.f64 y (*.f64 z (neg.f64 x)))))
(if (or (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (not (<=.f64 z #s(literal 2100000 binary64)))) (*.f64 y (*.f64 z (neg.f64 x))) x)
(if (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (*.f64 x (*.f64 y (neg.f64 z))) (if (<=.f64 z #s(literal 30000 binary64)) x (*.f64 x (*.f64 y (neg.f64 z)))))
(if (or (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (not (<=.f64 z #s(literal 30000 binary64)))) (*.f64 x (*.f64 y (neg.f64 z))) x)
(if (or (<=.f64 z #s(literal -5648671608315113/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (not (<=.f64 z #s(literal 30000 binary64)))) (*.f64 (*.f64 y z) (neg.f64 x)) x)
x

soundness283.0ms (5.4%)

Rules
584×fma-define
382×associate-*r/
374×unswap-sqr
301×cancel-sign-sub-inv
291×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036320
1100316
2196300
3559296
41103296
51750296
61830296
71833296
049411035
198910663
2325110592
Stop Event
done
node limit
saturated
Compiler

Compiled 189 to 83 computations (56.1% saved)

preprocess52.0ms (1%)

Remove

(negabs x)

Compiler

Compiled 432 to 242 computations (44% saved)

end0.0ms (0%)

Profiling

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