Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 4.7s)

analyze0.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

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

sample1.5s (31.4%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 374.0ms
ival-mult: 318.0ms (84.9% of total)
ival-sub: 42.0ms (11.2% of total)
const: 12.0ms (3.2% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess94.0ms (2%)

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

Useful iterations: 1 (0.0ms)

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

(abs x)

(sort y z)

explain110.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-x
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
84.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (74.3% of total)
ival-sub: 3.0ms (20.3% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize136.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal -4 binary64)))
cost-diff0
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
cost-diff-6272
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff0
(*.f64 x x)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(*.f64 x x)
accuracy98.6%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Rules
336×fma-define
126×fma-neg
48×distribute-lft-neg-in
46×cancel-sign-sub-inv
28×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019171
135163
267163
3117163
4171163
5241163
6348163
7450163
8592163
9840163
10930163
11942163
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Results
32.0ms256×0valid
Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (64.8% of total)
ival-fma: 3.0ms (21.6% of total)
ival-sub: 1.0ms (7.2% of total)
const: 1.0ms (7.2% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.4%)

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

39 calls:

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

rewrite340.0ms (7.3%)

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

Useful iterations: 2 (0.0ms)

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

simplify195.0ms (4.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
052015490
1109015240
2333814628
Stop Event
node limit
Counts
467 → 308
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
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(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
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(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 z (fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
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eval55.0ms (1.2%)

Compiler

Compiled 5695 to 781 computations (86.3% saved)

prune108.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3053308
Fresh000
Picked022
Done000
Total3055310
Accuracy
100.0%
Counts
310 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
94.4%
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
5.9%
(*.f64 y (*.f64 z #s(literal 4 binary64)))
55.2%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 53 to 37 computations (30.2% saved)

localize367.0ms (7.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
cost-diff0
(*.f64 #s(literal 4 binary64) y)
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
cost-diff0
(*.f64 z #s(literal 4 binary64))
cost-diff0
(*.f64 y (*.f64 z #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(*.f64 y (*.f64 #s(literal -4 binary64) z))
accuracy100.0%
(*.f64 #s(literal 4 binary64) y)
accuracy100.0%
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
accuracy95.1%
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
accuracy84.4%
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
accuracy100.0%
(*.f64 z #s(literal 4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal 4 binary64)))
accuracy100.0%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
accuracy100.0%
(*.f64 #s(literal -4 binary64) z)
Rules
1058×fma-neg
895×div-sub
630×fma-define
469×times-frac
459×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021206
138206
264198
3103198
4186195
5270189
6462189
7868189
82609189
94007189
104985189
115613189
125720189
135795189
147093189
157460189
167468189
177484189
187492189
197500189
207672189
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y (*.f64 z #s(literal 4 binary64)))
y
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
Outputs
(*.f64 y (*.f64 #s(literal -4 binary64) z))
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y (*.f64 z #s(literal 4 binary64)))
y
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 y #s(literal -4 binary64))))
(*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
z
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
y
Results
45.0ms256×0valid
Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (57.3% of total)
ival-pow: 4.0ms (20.8% of total)
ival-div: 2.0ms (10.4% of total)
ival-sub: 2.0ms (10.4% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.4%)

Counts
9 → 123
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 y (*.f64 #s(literal -4 binary64) z))>
#<alt (*.f64 y (*.f64 z #s(literal 4 binary64)))>
#<alt (*.f64 z #s(literal 4 binary64))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (pow.f64 x #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (*.f64 #s(literal 4 binary64) z)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(- (/ (pow x 2) z) (* 4 y))
2.0ms
z
@0
(* z (- (/ (pow x 2) z) (* 4 y)))
1.0ms
z
@-inf
(* z (- (/ (pow x 2) z) (* 4 y)))
0.0ms
z
@0
(/ (pow x 2) z)
0.0ms
y
@inf
(* z (- (/ (pow x 2) z) (* 4 y)))

rewrite235.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
722×log1p-expm1-u
722×expm1-log1p-u
680×log-prod
305×fma-define
202×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021174
1275174
23756166
Stop Event
node limit
Counts
9 → 294
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 z #s(literal 4 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 x #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 1 binary64))
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(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify308.0ms (6.6%)

Algorithm
egg-herbie
Rules
350×associate-*r/
292×associate-/r*
268×associate-*l/
248×distribute-lft-neg-in
237×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054613798
1109913590
2344413310
Stop Event
node limit
Counts
417 → 345
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(*.f64 #s(literal 4 binary64) z)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -4 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) z) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)))
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(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 z #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
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eval44.0ms (0.9%)

Compiler

Compiled 6000 to 1031 computations (82.8% saved)

prune48.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3441345
Fresh000
Picked123
Done112
Total3464350
Accuracy
100.0%
Counts
350 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
94.4%
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
5.9%
(*.f64 y (*.f64 z #s(literal 4 binary64)))
55.2%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 42 to 29 computations (31% saved)

localize338.0ms (7.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
cost-diff0
(*.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) y)
accuracy100.0%
(-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y))
accuracy95.1%
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
accuracy84.4%
(/.f64 (*.f64 x x) z)
Rules
1062×fma-neg
893×div-sub
626×fma-define
464×times-frac
458×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
015141
126133
246133
3103133
4198130
5284124
6480124
7885124
82606124
94007124
104981124
115623124
125730124
135805124
147103124
157470124
167478124
177494124
187502124
197510124
207680124
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
z
(-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (*.f64 x x) z)
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
Outputs
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 y #s(literal -4 binary64))))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
z
(-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 x (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(/.f64 (*.f64 x x) z)
(*.f64 x (/.f64 x z))
(*.f64 x x)
x
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
Results
23.0ms256×0valid
Compiler

Compiled 39 to 10 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64% of total)
ival-div: 2.0ms (21.3% of total)
ival-sub: 1.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
3 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x x) z)>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y))>
Outputs
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z))))))>
Calls

24 calls:

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

rewrite127.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
950×log1p-expm1-u
950×expm1-log1p-u
518×log-prod
308×fma-define
162×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01596
119094
2262888
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) z)
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 1 binary64))
(*.f64 x (/.f64 x z))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 x z)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x z)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x z) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) z))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(+.f64 (*.f64 z (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) z) (*.f64 (*.f64 y #s(literal -4 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (sqrt.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (/.f64 x z) x (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 x z) x (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (cbrt.f64 (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (sqrt.f64 (*.f64 y #s(literal -4 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 y #s(literal -4 binary64)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))

simplify153.0ms (3.3%)

Algorithm
egg-herbie
Rules
678×times-frac
439×distribute-lft-in
402×distribute-rgt-in
400×associate-*r/
348×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041211226
189211011
2265110942
Stop Event
node limit
Counts
289 → 254
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
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(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (+.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (-.f64 (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal 2 binary64) (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
Outputs
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 z y) (pow.f64 x #s(literal 2 binary64))) z)
(/.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) z)
(*.f64 #s(literal -4 binary64) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(*.f64 #s(literal -4 binary64) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(/.f64 (pow.f64 x #s(literal 2 binary64)) z)
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(fma.f64 #s(literal -4 binary64) y (/.f64 (pow.f64 x #s(literal 2 binary64)) z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 x (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 y (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 x (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y z)) #s(literal 4 binary64)))
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eval36.0ms (0.8%)

Compiler

Compiled 5258 to 900 computations (82.9% saved)

prune42.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2890289
Fresh000
Picked011
Done033
Total2894293
Accuracy
100.0%
Counts
293 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
94.4%
(*.f64 z (-.f64 (/.f64 (*.f64 x x) z) (*.f64 #s(literal 4 binary64) y)))
5.9%
(*.f64 y (*.f64 z #s(literal 4 binary64)))
55.2%
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Compiler

Compiled 94 to 54 computations (42.6% saved)

regimes22.0ms (0.5%)

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

7 calls:

5.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
x
3.0ms
z
3.0ms
y
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
99.2%1(*.f64 x x)
99.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
99.2%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes17.0ms (0.4%)

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

7 calls:

4.0ms
x
2.0ms
y
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.4%1(*.f64 x x)
98.4%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.4%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -32.4b remaining (-112.8%)

Threshold costs -32.4b (-112.8%)

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

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
55.2%1x
55.2%1y
55.2%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02189
13089
24889
35889
46689
56989
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal 4 binary64))))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))

soundness349.0ms (7.5%)

Rules
741×times-frac
568×fma-neg
425×fma-define
251×distribute-lft-neg-in
217×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51616375
61710375
71718375
81718375
052015490
1109015240
2333814628
Stop Event
done
node limit
saturated
Compiler

Compiled 113 to 52 computations (54% saved)

preprocess32.0ms (0.7%)

Remove

(sort y z)

(abs x)

Compiler

Compiled 250 to 152 computations (39.2% saved)

end0.0ms (0%)

Profiling

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