Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

Time bar (total: 5.2s)

analyze0.0ms (0%)

Algorithm
1×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 9 to 8 computations (11.1% saved)

sample732.0ms (14%)

Samples
460.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-mult: 125.0ms (70.9% of total)
ival-add: 40.0ms (22.7% of total)
ival-true: 7.0ms (4% of total)
ival-assert: 4.0ms (2.3% of total)
Bogosity

preprocess87.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
433×fma-define
207×fmm-def
104×unsub-neg
85×associate-*r*
74×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035369
188317
2216317
3571317
41040317
51680317
61761317
71769317
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z))))
(+.f64 y (*.f64 (*.f64 x z) z))
(+.f64 z (*.f64 (*.f64 y x) x))
(+.f64 x (*.f64 (*.f64 z y) y))
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z))
(+.f64 (*.f64 z (*.f64 y z)) (neg.f64 x))
(-.f64 (*.f64 z (*.f64 y z)) x)
(-.f64 (*.f64 y (*.f64 z z)) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z))
(+.f64 x (*.f64 z (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 z (*.f64 y z)))
(-.f64 x (*.f64 y (*.f64 z z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z)))
(+.f64 x (*.f64 z (*.f64 y z)))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 y z) z)))
(+.f64 x (*.f64 z (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 z (*.f64 y z)))
(-.f64 x (*.f64 y (*.f64 z z)))
(neg.f64 (+.f64 x (*.f64 (*.f64 (neg.f64 y) z) z)))
(+.f64 (*.f64 z (*.f64 y z)) (neg.f64 x))
(-.f64 (*.f64 z (*.f64 y z)) x)
(-.f64 (*.f64 y (*.f64 z z)) x)
(neg.f64 (+.f64 x (*.f64 (*.f64 y (neg.f64 z)) (neg.f64 z))))
(neg.f64 (+.f64 x (*.f64 (neg.f64 z) (*.f64 y (neg.f64 z)))))
(neg.f64 (fma.f64 z (*.f64 y z) x))
(neg.f64 (fma.f64 y (*.f64 z z) x))
(+.f64 y (*.f64 (*.f64 x z) z))
(+.f64 y (*.f64 x (*.f64 z z)))
(fma.f64 x (*.f64 z z) y)
(+.f64 z (*.f64 (*.f64 y x) x))
(+.f64 z (*.f64 x (*.f64 x y)))
(fma.f64 x (*.f64 x y) z)
(+.f64 x (*.f64 (*.f64 z y) y))
(+.f64 x (*.f64 z (*.f64 y y)))
(fma.f64 y (*.f64 y z) x)
Symmetry

(abs z)

explain129.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 y z) z)
00-0-y
00-0-(*.f64 y z)
00-0-z
00-0-(+.f64 x (*.f64 (*.f64 y z) z))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
31.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.4% of total)
ival-add: 3.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 22 to 9 computations (59.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 z (*.f64 y z) x)
▶92.1%
(fma.f64 y (*.f64 z z) x)
▶99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(fma.f64 z (*.f64 y z) x)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(fma.f64 y (*.f64 z z) x)
✓cost-diff-6272
(+.f64 x (*.f64 (*.f64 y z) z))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 (*.f64 y z) z)
Rules
2×fma-undefine
2×*-commutative
2×fma-define
1×associate-*r*
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016178
122178
224178
325178
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) z))
x
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
(fma.f64 y (*.f64 z z) x)
y
(*.f64 z z)
z
x
(fma.f64 z (*.f64 y z) x)
z
(*.f64 y z)
y
x
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
(fma.f64 y (*.f64 z z) x)
x
(*.f64 (*.f64 y z) z)
(*.f64 y (*.f64 z z))
(*.f64 y z)
y
z
(fma.f64 y (*.f64 z z) x)
y
(*.f64 z z)
z
x
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (*.f64 z z) x)
z
(*.f64 y z)
y
x

localize42.0ms (0.8%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(fma.f64 z (*.f64 y z) x)
✓accuracy100.0%
(*.f64 z z)
✓accuracy92.1%
(fma.f64 y (*.f64 z z) x)
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.8%
(*.f64 (*.f64 y z) z)
Samples
30.0ms256×0valid
Compiler

Compiled 44 to 11 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.8% of total)
ival-fma: 5.0ms (41.8% of total)
ival-add: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 y z) z)>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 (*.f64 y z) z))>
#<alt (fma.f64 y (*.f64 z z) x)>
#<alt (*.f64 z z)>
#<alt (fma.f64 z (*.f64 y z) x)>
Outputs
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ x (* (* y z) z))
1.0ms
y
@0
(* (* y z) z)
1.0ms
z
@inf
(* (* y z) z)
1.0ms
y
@inf
(* (* y z) z)
0.0ms
z
@0
(* (* y z) z)

rewrite1.1s (20.5%)

Algorithm
1×batch-egg-rewrite
Rules
939×prod-diff
727×log1p-expm1-u
727×expm1-log1p-u
396×log-prod
252×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016114
1202114
22073114
Stop Event
1×node limit
Counts
6 → 191
Calls
Call 1
Inputs
(*.f64 (*.f64 y z) z)
(*.f64 y z)
(+.f64 x (*.f64 (*.f64 y z) z))
(fma.f64 y (*.f64 z z) x)
(*.f64 z z)
(fma.f64 z (*.f64 y z) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z)) (cbrt.f64 (pow.f64 (exp.f64 y) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (*.f64 (sqrt.f64 y) z) (*.f64 (sqrt.f64 y) z) x)
(fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (*.f64 y z)) x)
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))

simplify206.0ms (4%)

Algorithm
1×egg-herbie
Rules
413×times-frac
355×distribute-lft-in
297×distribute-rgt-in
246×*-commutative
222×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02829656
15819566
216939506
353039470
Stop Event
1×node limit
Counts
335 → 132
Calls
Call 1
Inputs
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
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(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(pow.f64 z #s(literal 2 binary64))
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(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
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(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
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(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
Outputs
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
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(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 z #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (exp.f64 x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)

eval18.0ms (0.4%)

Compiler

Compiled 1 823 to 390 computations (78.6% saved)

prune25.0ms (0.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1466152
Fresh000
Picked033
Done000
Total1469155
Accuracy
100.0%
Counts
155 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
✓99.9%
(fma.f64 z (*.f64 y z) x)
✓92.1%
(fma.f64 y (*.f64 z z) x)
▶55.7%
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
61.2%
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
▶99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
✓99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
▶85.8%
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
▶48.1%
x
Compiler

Compiled 162 to 106 computations (34.6% saved)

simplify345.0ms (6.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 (*.f64 y z))
✓cost-diff6592
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
✓cost-diff12864
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
✓cost-diff0
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
✓cost-diff6592
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
✓cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
✓cost-diff12864
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)
✓cost-diff0
(sqrt.f64 y)
✓cost-diff0
(*.f64 (sqrt.f64 y) z)
✓cost-diff6464
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
✓cost-diff12736
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
✓cost-diff-6336
(*.f64 (*.f64 y z) (sqrt.f64 z))
✓cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 y z)
✓cost-diff12928
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
Rules
3 543×associate-*r*
987×associate-*l*
887×*-commutative
369×unswap-sqr
30×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029460
151460
2144389
3393386
41328386
51825386
62140386
72261386
82261386
92261386
102261386
112261386
122261386
134969386
144974386
154975386
164975386
175314386
185314386
195314386
206627386
216628386
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
(*.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 y z)
y
z
(sqrt.f64 z)
x
x
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
x
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
y
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
x
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
(*.f64 y z)
y
z
#s(literal 3 binary64)
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 y (*.f64 z (sqrt.f64 z))) (sqrt.f64 z) x)
(fma.f64 y (*.f64 z z) x)
(*.f64 (*.f64 y z) (sqrt.f64 z))
(*.f64 y (*.f64 z (sqrt.f64 z)))
(*.f64 y (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)))
(*.f64 y z)
y
z
(sqrt.f64 z)
x
x
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
(fma.f64 (*.f64 y (*.f64 z (sqrt.f64 z))) (sqrt.f64 z) x)
(fma.f64 y (*.f64 z z) x)
x
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y (*.f64 z z))
(*.f64 (sqrt.f64 y) z)
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
y
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
(fma.f64 (*.f64 y (*.f64 z (sqrt.f64 z))) (sqrt.f64 z) x)
(fma.f64 y (*.f64 z z) x)
x
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y (*.f64 z z))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
(*.f64 y z)
y
z
#s(literal 3 binary64)
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
(fma.f64 (*.f64 y (*.f64 z (sqrt.f64 z))) (sqrt.f64 z) x)
(fma.f64 y (*.f64 z z) x)
x
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y (*.f64 z z))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(cbrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 3 binary64)

localize131.0ms (2.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
✓accuracy99.5%
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
✓accuracy88.2%
(cbrt.f64 (*.f64 y z))
accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)
✓accuracy99.8%
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
✓accuracy76.0%
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
✓accuracy100.0%
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy99.9%
(*.f64 (sqrt.f64 y) z)
✓accuracy99.8%
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.9%
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
✓accuracy99.8%
(*.f64 (*.f64 y z) (sqrt.f64 z))
Samples
67.0ms113×0invalid
39.0ms143×0valid
Compiler

Compiled 122 to 23 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 16.0ms (36.6% of total)
ival-mult: 13.0ms (29.7% of total)
ival-sqrt: 5.0ms (11.4% of total)
ival-add: 3.0ms (6.9% of total)
ival-cbrt: 3.0ms (6.9% of total)
ival-fma: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series91.0ms (1.7%)

Counts
15 → 332
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 (*.f64 y z) (sqrt.f64 z))>
#<alt (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))>
#<alt (+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (sqrt.f64 y)>
#<alt (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)>
#<alt (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))>
#<alt (+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))>
#<alt (pow.f64 (*.f64 y z) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)>
#<alt (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))>
#<alt (+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))>
#<alt (cbrt.f64 (*.f64 y z))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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Calls

96 calls:

TimeVariablePointExpression
46.0ms
y
@inf
(cbrt (* y z))
4.0ms
y
@-inf
(* (pow (cbrt (* y z)) 3) z)
3.0ms
y
@-inf
(* (cbrt (pow (* y z) 3)) z)
2.0ms
z
@-inf
(* (* y z) (sqrt z))
2.0ms
z
@-inf
(* (cbrt (pow (* y z) 3)) z)

rewrite193.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
714×log1p-expm1-u
714×expm1-log1p-u
337×fma-define
204×expm1-undefine
204×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029366
1430267
24746267
Stop Event
1×node limit
Counts
15 → 500
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
(sqrt.f64 z)
(*.f64 (*.f64 y z) (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) z)
(sqrt.f64 y)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
(cbrt.f64 (*.f64 y z))
Outputs
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 y z))
(*.f64 (*.f64 y z) z)
(*.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
(*.f64 (sqrt.f64 y) (*.f64 z (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 z (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(*.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (log.f64 (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 z (*.f64 z (sqrt.f64 y))) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
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(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 1 binary64)))

simplify304.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
550×associate-*r*
528×associate-*l*
471×exp-prod
422×distribute-rgt-neg-in
419×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05794294990760
111564294989267
239414294989192
Stop Event
1×node limit
Counts
832 → 355
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
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x
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(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 z (*.f64 z (sqrt.f64 y))) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (*.f64 y z)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z) x)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y z)) z) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (sqrt.f64 z)) (sqrt.f64 z)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (*.f64 y z)) x)
(fma.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) (*.f64 z (sqrt.f64 y))) x)
(fma.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (sqrt.f64 (*.f64 y z)) z) x)
(fma.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 z (sqrt.f64 y))) x)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))) (pow.f64 z #s(literal 1/4 binary64))) x)
(fma.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)) x)
(fma.f64 (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (*.f64 z (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) x)
(fma.f64 (*.f64 (*.f64 y z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 z (sqrt.f64 y)) z) (sqrt.f64 y) x)
(fma.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (*.f64 z (sqrt.f64 y))) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 y) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y z))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y z) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/9 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
Outputs
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 x (*.f64 (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(sqrt.f64 z)
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
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(log.f64 (exp.f64 (cbrt.f64 (*.f64 y z))))
(cbrt.f64 (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y z)))))
(cbrt.f64 (*.f64 y z))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y z))))
(cbrt.f64 (*.f64 y z))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y z))))
(cbrt.f64 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 y z))

eval127.0ms (2.4%)

Compiler

Compiled 5 890 to 1 408 computations (76.1% saved)

prune85.0ms (1.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New4384442
Fresh011
Picked145
Done123
Total44011451
Accuracy
100.0%
Counts
451 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 z (*.f64 y z) x)
✓55.7%
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
▶61.2%
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
✓99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
▶55.7%
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
▶99.8%
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
▶95.9%
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
✓99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
✓85.8%
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
▶47.3%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓48.1%
x
Compiler

Compiled 184 to 120 computations (34.8% saved)

simplify18.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sqrt.f64 y))
✓cost-diff320
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
✓cost-diff6592
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
✓cost-diff12928
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
✓cost-diff0
(sqrt.f64 (*.f64 y z))
✓cost-diff256
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
✓cost-diff6528
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 z)
✓cost-diff0
(pow.f64 z #s(literal 3/2 binary64))
✓cost-diff0
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
✓cost-diff0
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
✓cost-diff-6592
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(*.f64 y (sqrt.f64 z))
✓cost-diff320
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
✓cost-diff6592
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
✓cost-diff12928
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
Rules
72×associate-*r*
38×associate-*l*
37×*-commutative
35×fma-define
6×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033666
160451
299442
3162442
4247442
5267442
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
x
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
x
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
y
(pow.f64 z #s(literal 3/2 binary64))
z
#s(literal 3/2 binary64)
(sqrt.f64 z)
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
x
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
x
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y
Outputs
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
(+.f64 x (*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))
(*.f64 y z)
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))
y
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
(+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))))
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))) x)
x
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
(*.f64 y (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))))
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
y
(pow.f64 z #s(literal 3/2 binary64))
z
#s(literal 3/2 binary64)
(sqrt.f64 z)
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
(+.f64 x (*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)
(*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))
(*.f64 y z)
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))
y
z
#s(literal 2 binary64)
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
(+.f64 x (*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))))
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
(*.f64 z (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)))
(*.f64 y z)
(*.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
y

localize105.0ms (2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 y)
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
✓accuracy99.9%
(*.f64 z (sqrt.f64 y))
✓accuracy99.7%
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
accuracy100.0%
(*.f64 y z)
✓accuracy99.9%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)
✓accuracy99.7%
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
✓accuracy88.6%
(sqrt.f64 (*.f64 y z))
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.9%
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
✓accuracy91.1%
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy93.2%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
✓accuracy99.8%
(*.f64 y (sqrt.f64 z))
✓accuracy99.7%
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
Samples
41.0ms143×0valid
31.0ms113×0invalid
Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 19.0ms (44.8% of total)
ival-pow: 13.0ms (30.6% of total)
ival-sqrt: 5.0ms (11.8% of total)
ival-add: 4.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Counts
18 → 384
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))>
#<alt (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)>
#<alt (+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))>
#<alt (*.f64 y (pow.f64 z #s(literal 3/2 binary64)))>
#<alt (pow.f64 z #s(literal 3/2 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)>
#<alt (+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)>
#<alt (+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))>
#<alt (*.f64 z (sqrt.f64 y))>
#<alt (+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))>
Outputs
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 (sqrt.f64 y) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))>
Calls

114 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ x (* (* y (pow z 3/2)) (sqrt z)))
1.0ms
z
@-inf
(pow z 3/2)
1.0ms
y
@-inf
(pow (sqrt (* y z)) 2)
1.0ms
z
@-inf
(* (* y (sqrt z)) (sqrt z))
0.0ms
z
@0
(pow z 3/2)

rewrite226.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
801×log1p-expm1-u
801×expm1-log1p-u
210×associate-*r*
193×fmm-def
168×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033363
1558320
25300320
Stop Event
1×node limit
Counts
18 → 451
Calls
Call 1
Inputs
(*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z)
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
(*.f64 y (sqrt.f64 z))
(pow.f64 z #s(literal 2 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 3/2 binary64)))
(pow.f64 z #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z)
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
(sqrt.f64 (*.f64 y z))
(*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z)
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
(*.f64 z (sqrt.f64 y))
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))) (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 3/4 binary64)) (*.f64 (pow.f64 z #s(literal 3/4 binary64)) (sqrt.f64 z)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
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(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
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(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
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(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (*.f64 z (sqrt.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 y)))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
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(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
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(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
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(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))

simplify282.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
900×times-frac
745×fma-define
381×associate-*r*
344×associate-*l*
269×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051922679
1103221428
2304121054
Stop Event
1×node limit
Counts
835 → 325
Calls
Call 1
Inputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
Outputs
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y z)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 x (*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 x (*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) x)) #s(literal -1 binary64))))
(*.f64 x (*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (+.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 y (+.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 y (fma.f64 z z (/.f64 x y)))
x
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(+.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 y (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (neg.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 y (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 y))
(*.f64 y (neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 z #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (pow.f64 z #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (fma.f64 y (neg.f64 (pow.f64 z #s(literal 2 binary64))) x))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x) #s(literal 3 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 z (*.f64 y z) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal 3/2 binary64)) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 z #s(literal 3/2 binary64))) x)
(fma.f64 (*.f64 y z) z x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))) x)
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 2 binary64)) x)

eval55.0ms (1.1%)

Compiler

Compiled 6 558 to 1 770 computations (73% saved)

prune193.0ms (3.7%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New4791480
Fresh000
Picked145
Done066
Total48011491
Accuracy
100.0%
Counts
491 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 z (*.f64 y z) x)
✓55.7%
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
✓61.2%
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
✓99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
✓55.7%
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
✓99.8%
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
✓95.9%
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
✓99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
✓85.8%
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
▶47.3%
(*.f64 y (*.f64 z z))
✓48.1%
x
Compiler

Compiled 122 to 79 computations (35.2% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y (*.f64 z z))
Rules
3×*-commutative
1×associate-*r*
1×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0943
11243
21543
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z
Outputs
(*.f64 y (*.f64 z z))
y
(*.f64 z z)
z

localize20.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z z)
✓accuracy88.2%
(*.f64 y (*.f64 z z))
Samples
13.0ms256×0valid
Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (79.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

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

6 calls:

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

rewrite67.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
347×unpow-prod-down
328×log1p-expm1-u
328×expm1-log1p-u
313×add-exp-log
298×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
18719
296719
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 y (*.f64 z z))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))

simplify121.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
719×fmm-def
570×sub-neg
540×div-sub
337×cancel-sign-sub-inv
306×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681073
11081073
21791073
32621073
44861073
511081073
633711073
755581073
871071073
Stop Event
1×node limit
Counts
45 → 25
Calls
Call 1
Inputs
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
Outputs
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))

eval5.0ms (0.1%)

Compiler

Compiled 406 to 126 computations (69% saved)

prune14.0ms (0.3%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done1910
Total431154
Accuracy
100.0%
Counts
54 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 z (*.f64 y z) x)
31.5%
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓61.2%
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
✓99.5%
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
✓55.7%
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
✓99.8%
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
✓95.9%
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
✓99.9%
(+.f64 x (*.f64 (*.f64 y z) z))
✓85.8%
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
✓47.3%
(*.f64 y (*.f64 z z))
✓48.1%
x
Compiler

Compiled 239 to 125 computations (47.7% saved)

regimes28.0ms (0.5%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 z z))
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(fma.f64 y (*.f64 z z) x)
(fma.f64 z (*.f64 y z) x)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 2 binary64)))
(+.f64 x (*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64))) z))
(+.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 z)))
(+.f64 x (*.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64)) z))
(+.f64 x (*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)) z))
(+.f64 x (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) z))
(+.f64 x (*.f64 (*.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y)) z))
(fma.f64 (*.f64 (*.f64 y z) (sqrt.f64 z)) (sqrt.f64 z) x)
Outputs
(fma.f64 z (*.f64 y z) x)
Calls

5 calls:

8.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
5.0ms
x
5.0ms
z
5.0ms
y
4.0ms
(*.f64 (*.f64 y z) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 x (*.f64 (*.f64 y z) z))
99.9%1(*.f64 (*.f64 y z) z)
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes20.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 y (*.f64 z z))
(+.f64 x (*.f64 (*.f64 y z) z))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(fma.f64 y (*.f64 z z) x)
Outputs
(+.f64 x (*.f64 (*.f64 y z) z))
Calls

5 calls:

10.0ms
(*.f64 (*.f64 y z) z)
2.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(+.f64 x (*.f64 (*.f64 y z) z))
99.9%1(*.f64 (*.f64 y z) z)
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes7.0ms (0.1%)

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

3 calls:

3.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
55.9%3x
64.1%3y
77.2%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
48.1%1x
48.1%1y
48.1%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
8.104719485218667e+27
5.266801871551033e+31
Samples
6.0ms128×0valid
Compiler

Compiled 125 to 92 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (82% of total)
ival-add: 1.0ms (41% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022100
126100
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) z))
(if (<=.f64 z #s(literal 460000000000000020405926494208 binary64)) x (*.f64 y (*.f64 z z)))
x
Outputs
(fma.f64 z (*.f64 y z) x)
(fma.f64 z (*.f64 z y) x)
(+.f64 x (*.f64 (*.f64 y z) z))
(+.f64 x (*.f64 z (*.f64 z y)))
(if (<=.f64 z #s(literal 460000000000000020405926494208 binary64)) x (*.f64 y (*.f64 z z)))
x

soundness363.0ms (7%)

Rules
939×prod-diff
801×log1p-expm1-u
801×expm1-log1p-u
727×log1p-expm1-u
727×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016114
1202114
22073114
035369
188317
2216317
3571317
41040317
51680317
61761317
71769317
033363
1558320
25300320
Stop Event
1×fuel
1×node limit
1×saturated
1×node limit
Compiler

Compiled 119 to 45 computations (62.2% saved)

preprocess36.0ms (0.7%)

Remove

(abs z)

Compiler

Compiled 146 to 76 computations (47.9% saved)

end0.0ms (0%)

Profiling

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