Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

Time bar (total: 3.8s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample938.0ms (24.8%)

Memory
-8.3MiB live, 1 390.8MiB allocated
Samples
738.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 498.0ms
ival-mult: 397.0ms (79.7% of total)
ival-sub: 90.0ms (18.1% of total)
ival-true: 5.0ms (1% of total)
...in/eval/compile.rkt:110:19: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess216.0ms (5.7%)

Memory
-0.8MiB live, 116.4MiB allocated
Algorithm
egg-herbie
Rules
425×fma-define
216×fmm-def
96×distribute-lft-neg-in
94×associate-*r*
94×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038435
1116375
2284375
3713375
41184375
51623375
61715375
71723375
81723375
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z)))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(-.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) z) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(neg.f64 (-.f64 (*.f64 x x) (*.f64 z (neg.f64 (*.f64 y #s(literal 4 binary64))))))
(neg.f64 (fma.f64 x x (*.f64 y (*.f64 #s(literal 4 binary64) z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 (*.f64 y y) (*.f64 z (*.f64 x #s(literal 4 binary64))))
(fma.f64 y y (*.f64 x (*.f64 z #s(literal -4 binary64))))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) (*.f64 y y))
(-.f64 (*.f64 z z) (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 (*.f64 z z) (*.f64 y (*.f64 x #s(literal 4 binary64))))
(fma.f64 z z (*.f64 x (*.f64 y #s(literal -4 binary64))))
(fma.f64 y (*.f64 x #s(literal -4 binary64)) (*.f64 z z))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) (*.f64 z z))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 x x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Symmetry

(abs x)

(sort y z)

explain126.0ms (3.3%)

Memory
15.6MiB live, 171.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-y
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))nan-rescue50
(*.f64 x x)overflow64
(*.f64 (*.f64 y #s(literal 4 binary64)) z)overflow37
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (70% of total)
ival-sub: 4.0ms (23.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Compiler

Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
98.0%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify37.0ms (1%)

Memory
-27.2MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize34.0ms (0.9%)

Memory
26.9MiB live, 66.2MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy98.8%
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy100.0%
(*.f64 y #s(literal 4 binary64))
accuracy100.0%
(*.f64 x x)
accuracy98.3%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Samples
21.0ms256×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (76.2% of total)
ival-sub: 1.0ms (8.5% of total)
ival-add: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.4%)

Memory
-4.0MiB live, 34.9MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 y #s(literal 4 binary64)) z)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
#<alt (fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))>
#<alt (*.f64 y (*.f64 z #s(literal -4 binary64)))>
#<alt (*.f64 z #s(literal -4 binary64))>
Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal 4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
#<alt (*.f64 #s(literal -4 binary64) z)>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* (* y 4) z)
1.0ms
y
@inf
(* (* y 4) z)
1.0ms
y
@inf
(* y 4)
1.0ms
z
@0
(* (* y 4) z)
1.0ms
z
@inf
(* (* y 4) z)

rewrite345.0ms (9.1%)

Memory
-10.5MiB live, 425.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
996×log1p-expm1-u
996×expm1-log1p-u
585×log-prod
422×fma-define
180×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019136
1235134
23090128
Stop Event
node limit
Counts
7 → 311
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z #s(literal -4 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (-.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
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simplify426.0ms (11.2%)

Memory
23.5MiB live, 299.1MiB allocated
Algorithm
egg-herbie
Rules
741×times-frac
568×fmm-def
252×distribute-lft-neg-in
216×distribute-rgt-neg-in
178×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052015490
1109915240
2334414628
Stop Event
node limit
Counts
467 → 307
Calls
Call 1
Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
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(pow.f64 x #s(literal 2 binary64))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 z (*.f64 y #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (fma.f64 #s(literal -4 binary64) z (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (fma.f64 z #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal -4 binary64) z))))
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(exp.f64 (log.f64 (*.f64 z #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -4 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal -4 binary64))

eval39.0ms (1%)

Memory
-12.6MiB live, 62.6MiB allocated
Compiler

Compiled 5 675 to 766 computations (86.5% saved)

prune86.0ms (2.3%)

Memory
-3.7MiB live, 81.4MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3052307
Fresh000
Picked112
Done000
Total3063309
Accuracy
100.0%
Counts
309 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
48.1%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
55.7%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify36.0ms (1%)

Memory
-8.7MiB live, 29.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016133
130129
265129
3111129
4158129
5222129
6334129
7441129
8589129
9807129
10897129
11909129
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(*.f64 x x)
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 x x (*.f64 (*.f64 y z) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
y
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
z
#s(literal -4 binary64)

localize32.0ms (0.8%)

Memory
29.2MiB live, 67.8MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy98.0%
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Samples
21.0ms256×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 10.0ms (86.1% of total)
ival-sub: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-31.0MiB live, 7.9MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(* y z)
0.0ms
y
@-inf
(* y z)
0.0ms
y
@-inf
(- (* x x) (* y (* z -4)))
0.0ms
x
@0
(- (* x x) (* y (* z -4)))
0.0ms
x
@inf
(- (* x x) (* y (* z -4)))

rewrite131.0ms (3.5%)

Memory
-0.4MiB live, 118.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
906×log1p-expm1-u
906×expm1-log1p-u
533×log-prod
424×fma-define
162×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01666
121465
2257662
Stop Event
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y z)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
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(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (hypot.f64 x (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal -4 binary64) y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 y z)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))

simplify142.0ms (3.7%)

Memory
29.1MiB live, 219.4MiB allocated
Algorithm
egg-herbie
Rules
569×times-frac
509×distribute-lft-in
471×fmm-def
468×distribute-rgt-in
267×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03999195
18668914
225368722
Stop Event
node limit
Counts
237 → 244
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (cbrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 z (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 y (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (fma.f64 x (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 z (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (fma.f64 x (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal -4 binary64) y)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal -4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal -4 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 y #s(literal -4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 z #s(literal -4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(pow.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
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(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (fma.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y) (*.f64 z (*.f64 #s(literal -4 binary64) y))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (*.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (-.f64 x (sqrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)))) (+.f64 (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) z (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (*.f64 z #s(literal 4 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y)))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) (fma.f64 y (*.f64 z #s(literal 4 binary64)) (*.f64 z (*.f64 #s(literal -4 binary64) y))))))
(fma.f64 #s(literal 4 binary64) (*.f64 y z) (pow.f64 x #s(literal 2 binary64)))

eval40.0ms (1.1%)

Memory
3.3MiB live, 83.5MiB allocated
Compiler

Compiled 5 592 to 713 computations (87.2% saved)

prune49.0ms (1.3%)

Memory
-21.7MiB live, 106.9MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3032305
Fresh000
Picked202
Done011
Total3053308
Accuracy
100.0%
Counts
308 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.2%
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
55.7%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify7.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
12076
23376
33776
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
z
Outputs
(*.f64 y (*.f64 z #s(literal -4 binary64)))
y
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 z (*.f64 y #s(literal 4 binary64)))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
y
z

localize24.0ms (0.6%)

Memory
11.1MiB live, 49.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) y)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 24 to 11 computations (54.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (93.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 4 binary64) y) z)>
#<alt (*.f64 #s(literal 4 binary64) y)>
Outputs
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal 4 binary64) (*.f64 y z))>
Calls

9 calls:

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

rewrite67.0ms (1.8%)

Memory
-15.5MiB live, 23.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
392×unpow-prod-down
363×log1p-expm1-u
363×expm1-log1p-u
347×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2101329
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))

simplify204.0ms (5.4%)

Memory
12.3MiB live, 50.8MiB allocated
Algorithm
egg-herbie
Rules
771×fma-define
738×prod-exp
388×*-commutative
291×associate-*r*
269×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241358
12141358
24851358
318731358
444301358
575701358
Stop Event
node limit
Counts
66 → 55
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)) z))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 4 binary64) z)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)) z))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 y z))
(*.f64 y (*.f64 #s(literal 4 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 8 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(*.f64 #s(literal 4 binary64) y)
(log.f64 (pow.f64 (exp.f64 y) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64)))
(*.f64 #s(literal 4 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 4 binary64) y))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 4 binary64) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)

eval22.0ms (0.6%)

Memory
-10.6MiB live, 28.8MiB allocated
Compiler

Compiled 944 to 287 computations (69.6% saved)

prune17.0ms (0.4%)

Memory
-3.7MiB live, 34.0MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh000
Picked022
Done011
Total983101
Accuracy
100.0%
Counts
101 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
5.2%
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
55.7%
(*.f64 y (*.f64 z #s(literal -4 binary64)))
Compiler

Compiled 72 to 37 computations (48.6% saved)

regimes23.0ms (0.6%)

Memory
1.8MiB live, 39.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

7 calls:

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

Compiled 44 to 32 computations (27.3% saved)

regimes21.0ms (0.6%)

Memory
-2.2MiB live, 35.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Calls

7 calls:

6.0ms
y
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
98.0%1(*.f64 x x)
98.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
98.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes9.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64))))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
85.5%2x
69.1%3y
70.4%3z
85.5%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated
Accuracy

Total -33.4b remaining (-117.8%)

Threshold costs -33.4b (-117.8%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Calls

3 calls:

2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
55.7%1y
55.7%1z
55.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch123.0ms (3.2%)

Memory
-29.6MiB live, 15.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
122.0ms
8.848941194267123e-12
1.2214547465524384e-7
Samples
6.0ms128×0valid
Compiler

Compiled 175 to 134 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (77.8% of total)
ival-sub: 1.0ms (38.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative
10×sub-neg
10×+-commutative
distribute-lft-neg-in
distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028166
145166
272166
391166
4103166
5108166
6109166
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 (*.f64 x x) #s(literal 5742397643169489/151115727451828646838272 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Outputs
(fma.f64 x x (*.f64 y (*.f64 z #s(literal -4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 x x) (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 (*.f64 x x) #s(literal 5742397643169489/151115727451828646838272 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (-.f64 (*.f64 x x) (*.f64 y (*.f64 z #s(literal -4 binary64)))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))

soundness412.0ms (10.9%)

Memory
-20.1MiB live, 318.3MiB allocated
Rules
741×times-frac
568×fmm-def
425×fma-define
252×distribute-lft-neg-in
216×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052015490
1109915240
2334414628
038435
1116375
2284375
3713375
41184375
51623375
61715375
71723375
81723375
Stop Event
done
saturated
node limit
Compiler

Compiled 300 to 95 computations (68.3% saved)

preprocess146.0ms (3.9%)

Memory
8.2MiB live, 83.9MiB allocated
Remove

(sort y z)

(abs x)

Compiler

Compiled 290 to 164 computations (43.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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