Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 9.5s)

analyze41.0ms (0.4%)

Memory
12.9MiB live, 90.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (12.3%)

Memory
24.5MiB live, 1 854.0MiB allocated
Samples
922.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 552.0ms
ival-mult: 409.0ms (74% of total)
ival-div: 57.0ms (10.3% of total)
ival-add: 39.0ms (7.1% of total)
ival-sub: 35.0ms (6.3% of total)
ival-true: 6.0ms (1.1% of total)
...in/eval/compile.rkt:104:19: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess139.0ms (1.5%)

Memory
-17.1MiB live, 142.2MiB allocated
Algorithm
1×egg-herbie
Rules
684×div-sub
578×sub-neg
550×fmm-def
425×associate-/l*
376×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047672
1164660
2533660
32454660
47758660
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y) #s(literal -1/2 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z #s(literal 2 binary64)))
Symmetry

(abs x)

(abs z)

(negabs y)

explain196.0ms (2.1%)

Memory
3.2MiB live, 320.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-2(4.344171429139849e-162 1.8135190453639978e-183 8.767057709885969e-268)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
240-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n630
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow142
↳(*.f64 y y)overflow67
↳(*.f64 x x)overflow65
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow112
↳(*.f64 z z)overflow54
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue240
↳(*.f64 y y)overflow67
↳(*.f64 x x)overflow65
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow112
↳(*.f64 z z)overflow54
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))u/n30
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow3
↳(*.f64 y y)underflow58
↳(*.f64 x x)underflow60
↳(+.f64 (*.f64 x x) (*.f64 y y))underflow9
↳(*.f64 z z)underflow61
Confusion
Predicted +Predicted -
+742
-0180
Precision
1.0
Recall
0.9736842105263158
Confusion?
Predicted +Predicted MaybePredicted -
+7402
-00180
Precision?
1.0
Recall?
0.9736842105263158
Freqs
test
numberfreq
0182
158
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms512×0valid
Compiler

Compiled 138 to 48 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 82.0ms (90.5% of total)
ival-div: 3.0ms (3.3% of total)
ival-sub: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 45 to 17 computations (62.2% saved)

prune1.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶72.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Compiler

Compiled 35 to 21 computations (40% saved)

simplify55.0ms (0.6%)

Memory
-3.9MiB live, 35.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(-.f64 (*.f64 y y) (*.f64 z z))
✓cost-diff128
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Rules
616×fmm-def
443×distribute-lft-in
411×associate-+l-
403×distribute-rgt-in
376×unsub-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
023423
149423
2101423
3252423
4689423
51833414
64026396
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

localize56.0ms (0.6%)

Memory
5.5MiB live, 128.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy91.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.5%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy98.8%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓accuracy93.4%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy75.5%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Samples
29.0ms256×0valid
Compiler

Compiled 104 to 18 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (51.5% of total)
ival-div: 3.0ms (19.3% of total)
ival-sub: 2.0ms (12.9% of total)
ival-add: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-3.8MiB live, 73.5MiB allocated
Counts
11 → 276
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))>
#<alt (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 y y)>
#<alt (*.f64 x x)>
#<alt (*.f64 z z)>
#<alt (*.f64 y #s(literal 2 binary64))>
#<alt (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
x
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
x
@inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
z
@0
(- (+ (* x x) (* y y)) (* z z))
1.0ms
y
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))

rewrite445.0ms (4.7%)

Memory
20.5MiB live, 412.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 169×log1p-expm1-u
595×expm1-log1p-u
152×add-cube-cbrt
151×add-exp-log
151×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023323
1353293
25104293
Stop Event
1×node limit
Counts
11 → 370
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
(*.f64 x x)
(*.f64 z z)
(*.f64 y #s(literal 2 binary64))
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 (*.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) y)
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) (+.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

simplify384.0ms (4%)

Memory
-11.3MiB live, 506.1MiB allocated
Algorithm
1×egg-herbie
Rules
991×fmm-def
475×associate-*r*
415×associate-*l*
325×times-frac
256×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073330256
1172328132
2767728090
Stop Event
1×node limit
Counts
646 → 462
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
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(*.f64 (hypot.f64 x y) (hypot.f64 x y))
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(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
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(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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eval63.0ms (0.7%)

Memory
-4.5MiB live, 110.3MiB allocated
Compiler

Compiled 10 089 to 1 737 computations (82.8% saved)

prune137.0ms (1.4%)

Memory
-3.4MiB live, 162.5MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New47118489
Fresh000
Picked112
Done000
Total47219491
Accuracy
93.1%
Counts
491 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
71.4%
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
71.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
71.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓71.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶69.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
26.2%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
▶71.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
31.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
28.0%
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
71.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
55.6%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
46.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
62.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
▶85.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
▶54.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
57.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
▶36.5%
(*.f64 #s(literal 1/2 binary64) y)
44.6%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
Compiler

Compiled 720 to 441 computations (38.8% saved)

simplify70.0ms (0.7%)

Memory
13.5MiB live, 52.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
✓cost-diff64
(-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
✓cost-diff13440
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
✓cost-diff13440
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓cost-diff6336
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(log.f64 (*.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 y y)
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓cost-diff0
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
Rules
673×fmm-def
445×distribute-lft-in
372×times-frac
367×distribute-rgt-in
325×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042944
194904
2238902
3729902
42334902
55747902
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(log.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
y
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y y)
y
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
(log.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
y
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 x x (*.f64 y y))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 x (/.f64 x (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize198.0ms (2.1%)

Memory
19.6MiB live, 213.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy90.1%
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
✓accuracy87.9%
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
✓accuracy80.4%
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
✓accuracy62.5%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
✓accuracy91.7%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy75.2%
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy91.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy90.8%
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
✓accuracy75.5%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
✓accuracy96.9%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy86.6%
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
Samples
147.0ms256×0valid
Compiler

Compiled 283 to 37 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-pow2: 77.0ms (62.2% of total)
ival-div: 14.0ms (11.3% of total)
ival-mult: 13.0ms (10.5% of total)
ival-add: 5.0ms (4% of total)
ival-hypot: 4.0ms (3.2% of total)
ival-sub: 4.0ms (3.2% of total)
ival-exp: 3.0ms (2.4% of total)
ival-log: 3.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series524.0ms (5.5%)

Memory
-188.5MiB live, 205.1MiB allocated
Counts
19 → 435
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))>
#<alt (log.f64 (*.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 y (pow.f64 z #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
Calls

141 calls:

TimeVariablePointExpression
260.0ms
x
@0
(* (pow z 2) (- (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))) (/ 1 y)))
162.0ms
y
@-inf
(log (* y 2))
30.0ms
y
@0
(log (* y 2))
6.0ms
y
@inf
(log (* y 2))
3.0ms
y
@-inf
(* 1/2 (+ y (/ (- (pow x 2) (pow z 2)) y)))

rewrite321.0ms (3.4%)

Memory
32.6MiB live, 188.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
327×log1p-expm1-u
327×expm1-log1p-u
319×add-cube-cbrt
316×add-exp-log
315×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042764
1771738
Stop Event
1×node limit
Counts
19 → 436
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(log.f64 (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 y (pow.f64 z #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 2 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(cbrt.f64 (pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y) y)
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(/.f64 (+.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))) (*.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y)) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (neg.f64 y))) (*.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) y)) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))) (*.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 (sqrt.f64 y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(*.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify600.0ms (6.3%)

Memory
5.7MiB live, 552.9MiB allocated
Algorithm
1×egg-herbie
Rules
598×associate-*r*
531×associate-*l*
451×times-frac
375×fma-define
214×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125048483
1292446030
Stop Event
1×node limit
Counts
871 → 826
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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(fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(*.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(sqrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal -2 binary64))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(sqrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y))
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) y)

eval214.0ms (2.3%)

Memory
14.8MiB live, 207.1MiB allocated
Compiler

Compiled 22 069 to 3 552 computations (83.9% saved)

prune227.0ms (2.4%)

Memory
3.4MiB live, 321.5MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New88319902
Fresh8513
Picked325
Done011
Total89427921
Accuracy
93.5%
Counts
921 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.2%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
71.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
71.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
▶71.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
69.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) y))))
✓71.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓69.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
28.0%
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)
71.2%
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
27.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))))
▶36.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
71.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
43.7%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)))
31.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
55.6%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
40.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z (sqrt.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
58.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
84.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
59.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
▶59.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
▶85.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
63.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
27.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
▶59.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
55.8%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
✓36.5%
(*.f64 #s(literal 1/2 binary64) y)
33.2%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 852 to 609 computations (28.5% saved)

simplify75.0ms (0.8%)

Memory
-6.8MiB live, 33.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (sqrt.f64 y))
✓cost-diff0
(/.f64 x (*.f64 z (sqrt.f64 y)))
✓cost-diff0
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
cost-diff0
(*.f64 y y)
✓cost-diff320
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓cost-diff0
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓cost-diff12864
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
✓cost-diff12864
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)
✓cost-diff12864
(+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y))
✓cost-diff12864
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
Rules
656×distribute-lft-in
558×fmm-def
532×associate-*r/
477×associate-*l/
365×cancel-sign-sub-inv
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0471027
11051002
22551002
3746998
42368998
55819993
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y))
y
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 x (*.f64 z (sqrt.f64 y)))
x
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
y
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 z #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y))
(+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y y)
y
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 2 binary64))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))))
(fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 x (*.f64 z (sqrt.f64 y)))
x
(*.f64 z (sqrt.f64 y))
(sqrt.f64 y)
y
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 z #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize208.0ms (2.2%)

Memory
-11.3MiB live, 347.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
✓accuracy95.1%
(/.f64 x (*.f64 z (sqrt.f64 y)))
✓accuracy87.8%
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
✓accuracy62.5%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
✓accuracy99.1%
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
✓accuracy98.9%
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy91.7%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy75.5%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓accuracy100.0%
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓accuracy87.5%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓accuracy99.4%
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
accuracy96.9%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy86.6%
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)
✓accuracy53.4%
(cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
Samples
145.0ms256×0valid
Compiler

Compiled 302 to 42 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 18.0ms (26% of total)
ival-sub: 13.0ms (18.8% of total)
ival-div: 9.0ms (13% of total)
ival-add: 8.0ms (11.6% of total)
ival-pow: 8.0ms (11.6% of total)
ival-pow2: 7.0ms (10.1% of total)
ival-cbrt: 3.0ms (4.3% of total)
ival-sqrt: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series173.0ms (1.8%)

Memory
6.9MiB live, 126.8MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))>
#<alt (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y))>
#<alt (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)>
#<alt (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))>
#<alt (cbrt.f64 (*.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))>
#<alt (/.f64 x (*.f64 z (sqrt.f64 y)))>
#<alt (*.f64 z (sqrt.f64 y))>
#<alt (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (pow.f64 z #s(literal -2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 z #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 y (pow.f64 z #s(literal 2 binary64)))>
Calls

120 calls:

TimeVariablePointExpression
107.0ms
z
@0
(* y (pow z -2))
7.0ms
y
@0
(pow (cbrt (* y 2)) 3)
4.0ms
y
@inf
(cbrt (* y 2))
2.0ms
z
@inf
(cbrt (- (pow x 2) (pow z 2)))
2.0ms
y
@-inf
(pow (cbrt (* y 2)) 3)

rewrite255.0ms (2.7%)

Memory
4.3MiB live, 160.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
353×log1p-expm1-u
353×expm1-log1p-u
340×add-cube-cbrt
337×add-exp-log
336×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046549
1811540
Stop Event
1×node limit
Counts
19 → 350
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
(+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 y #s(literal 2 binary64)))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 x (*.f64 z (sqrt.f64 y)))
(*.f64 z (sqrt.f64 y))
(cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64))) (-.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) (*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(pow.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal -2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify336.0ms (3.5%)

Memory
-9.6MiB live, 468.5MiB allocated
Algorithm
1×egg-herbie
Rules
582×associate-*r*
546×associate-*l*
402×fma-define
249×times-frac
235×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111232982
1248031397
Stop Event
1×node limit
Counts
782 → 616
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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y
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y
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(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(*.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) (/.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x (*.f64 z (sqrt.f64 y))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x (*.f64 z (sqrt.f64 y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 z (sqrt.f64 y))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) (sqrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 2 binary64))))
(pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 z (sqrt.f64 y)) x) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 z (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(exp.f64 (log.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sqrt.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (cbrt.f64 (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal -2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
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(cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(pow.f64 (*.f64 z (sqrt.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 x z) (sqrt.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal -2 binary64))) y))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (pow.f64 z #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal -2 binary64)))

eval221.0ms (2.3%)

Memory
29.4MiB live, 182.0MiB allocated
Compiler

Compiled 16 465 to 3 285 computations (80% saved)

prune136.0ms (1.4%)

Memory
-28.2MiB live, 267.2MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New7258733
Fresh71219
Picked415
Done033
Total73624760
Accuracy
96.7%
Counts
760 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
71.6%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
69.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) y))))
✓71.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓69.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
35.2%
(/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
27.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))))
✓36.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
71.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
33.4%
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (log.f64 y))))
27.9%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
31.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
55.6%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
40.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z (sqrt.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
58.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
59.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
▶66.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
▶59.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
▶58.9%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
62.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y)))
▶63.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
59.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
✓36.5%
(*.f64 #s(literal 1/2 binary64) y)
33.2%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 694 to 500 computations (28% saved)

simplify66.0ms (0.7%)

Memory
10.3MiB live, 49.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓cost-diff12800
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓cost-diff12800
(-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓cost-diff12800
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
✓cost-diff0
(/.f64 z (sqrt.f64 y))
✓cost-diff6400
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓cost-diff6400
(-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
✓cost-diff6400
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
✓cost-diff64
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓cost-diff64
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
cost-diff-6336
(*.f64 z z)
✓cost-diff-6336
(/.f64 (*.f64 z z) y)
✓cost-diff-6336
(-.f64 y (/.f64 (*.f64 z z) y))
✓cost-diff-6336
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
cost-diff0
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
✓cost-diff19392
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
Rules
508×distribute-lft-in
472×fma-define
459×distribute-rgt-in
459×fmm-def
447×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038698
173675
2146673
3347673
4806673
51537673
63496673
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
y
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
#s(literal 1/2 binary64)
(-.f64 y (/.f64 (*.f64 z z) y))
y
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
y
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
#s(literal 1/2 binary64)
(-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
y
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) y) y))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
y
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(sqrt.f64 (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 y (/.f64 (*.f64 z z) y))
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
y
(/.f64 (*.f64 z z) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) y))
#s(literal 1/2 binary64)
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(fma.f64 x (/.f64 x y) y)
y
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
y
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 z (sqrt.f64 y))
z
(sqrt.f64 y)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal 1/2 binary64)
(-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
y
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)

localize162.0ms (1.7%)

Memory
8.8MiB live, 204.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓accuracy95.1%
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
accuracy87.5%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓accuracy57.0%
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓accuracy100.0%
(sqrt.f64 y)
✓accuracy100.0%
(-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
✓accuracy99.7%
(/.f64 z (sqrt.f64 y))
✓accuracy99.6%
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
✓accuracy89.9%
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
accuracy100.0%
(*.f64 z z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
✓accuracy100.0%
(-.f64 y (/.f64 (*.f64 z z) y))
✓accuracy87.5%
(/.f64 (*.f64 z z) y)
accuracy100.0%
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓accuracy93.0%
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
accuracy91.7%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy82.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
Samples
116.0ms256×0valid
Compiler

Compiled 200 to 33 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 11.0ms (22.6% of total)
ival-div: 9.0ms (18.5% of total)
ival-pow2: 9.0ms (18.5% of total)
ival-hypot: 5.0ms (10.3% of total)
ival-sub: 4.0ms (8.2% of total)
ival-exp: 3.0ms (6.2% of total)
ival-log: 3.0ms (6.2% of total)
ival-sqrt: 3.0ms (6.2% of total)
ival-add: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

series120.0ms (1.3%)

Memory
-19.4MiB live, 212.9MiB allocated
Counts
18 → 385
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))>
#<alt (-.f64 y (/.f64 (*.f64 z z) y))>
#<alt (/.f64 (*.f64 z z) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))>
#<alt (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (/.f64 z (sqrt.f64 y))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (sqrt.f64 y)>
Outputs
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)>
#<alt (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
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#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))>
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#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
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#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 z)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 z)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 z)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 2 binary64) (log.f64 z)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))>
#<alt (+.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 y)))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) (log.f64 (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

108 calls:

TimeVariablePointExpression
19.0ms
y
@-inf
(* 1/2 (- y (exp (log (/ (pow z 2) y)))))
16.0ms
y
@-inf
(log (/ (pow z 2) y))
16.0ms
z
@0
(log (/ (pow z 2) y))
16.0ms
y
@0
(log (/ (pow z 2) y))
6.0ms
y
@inf
(log (/ (pow z 2) y))

rewrite174.0ms (1.8%)

Memory
40.4MiB live, 276.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
272×log1p-expm1-u
272×expm1-log1p-u
263×add-exp-log
263×pow1
263×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038484
1647484
Stop Event
1×node limit
Counts
18 → 606
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(/.f64 (pow.f64 x #s(literal 2 binary64)) y)
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 z (sqrt.f64 y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(sqrt.f64 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))))
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(+.f64 (fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (sqrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (sqrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (+.f64 (sqrt.f64 y) (/.f64 z (sqrt.f64 y))) (-.f64 (sqrt.f64 y) (/.f64 z (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64))) (fma.f64 y y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (+.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (neg.f64 (+.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))) (*.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(pow.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) y (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 z y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 (/.f64 z (sqrt.f64 y)))) (sqrt.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 z (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) z) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (/.f64 z (sqrt.f64 y))))
(/.f64 z (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 (sqrt.f64 y) z) (neg.f64 (sqrt.f64 y))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z)))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (neg.f64 (log.f64 y)))
(+.f64 (log.f64 z) (log.f64 (/.f64 z y)))
(+.f64 (log.f64 (/.f64 z (sqrt.f64 y))) (log.f64 (/.f64 z (sqrt.f64 y))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (log.f64 (neg.f64 y)))
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 #s(literal 2 binary64) (log.f64 z))) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 #s(literal 2 binary64) (log.f64 z))) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y)))
(pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))

simplify967.0ms (10.2%)

Memory
-33.5MiB live, 767.0MiB allocated
Algorithm
1×egg-herbie
Rules
665×times-frac
415×associate-/r*
344×associate-*r/
301×fma-define
296×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109543803
1264339823
Stop Event
1×node limit
Counts
991 → 645
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
Outputs
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -2 binary64)))) y)
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 y #s(literal 2 binary64))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 y #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))))
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(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(pow.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 (/.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (neg.f64 (log.f64 y)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y))
(+.f64 (log.f64 z) (log.f64 (/.f64 z y)))
(+.f64 (log.f64 (/.f64 z (sqrt.f64 y))) (log.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z (sqrt.f64 y))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (log.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (log.f64 (neg.f64 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 #s(literal 2 binary64) (log.f64 z))) (+.f64 (*.f64 (log.f64 y) (log.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 z) (log.f64 z))) (*.f64 (log.f64 y) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (fma.f64 (log.f64 y) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)) (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 z) (log.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (*.f64 #s(literal 2 binary64) (log.f64 z))) (*.f64 (log.f64 y) (log.f64 y))) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) (log.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 z) (log.f64 z))) (*.f64 (log.f64 y) (log.f64 y))) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 y)))
(pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(pow.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(neg.f64 (log.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1 binary64)))
(log1p.f64 (fma.f64 z (/.f64 z y) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (exp.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (log.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 y)

eval103.0ms (1.1%)

Memory
31.7MiB live, 262.6MiB allocated
Compiler

Compiled 15 004 to 2 801 computations (81.3% saved)

prune288.0ms (3%)

Memory
0.8MiB live, 283.5MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New7687775
Fresh13215
Picked325
Done134
Total78514799
Accuracy
100.0%
Counts
799 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
27.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))))
✓36.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
55.6%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓66.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
66.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))))
✓59.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
66.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))))
66.4%
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
69.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y))
63.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
69.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))))
69.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓36.5%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 924 to 341 computations (63.1% saved)

regimes98.0ms (1%)

Memory
-16.7MiB live, 220.0MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (log.f64 y))))
(/.f64 y (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (*.f64 z (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (*.f64 (/.f64 (sqrt.f64 y) z) (sqrt.f64 y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z z) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (+.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 z) z (pow.f64 z #s(literal 2 binary64))))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 z (sqrt.f64 (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 x (*.f64 z (sqrt.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
Calls

6 calls:

17.0ms
(*.f64 x x)
16.0ms
y
16.0ms
x
16.0ms
z
15.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
96.6%3x
92.5%2y
95.2%3z
97.8%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
96.6%3(*.f64 x x)
95.2%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
1.9MiB live, 41.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
Calls

5 calls:

3.0ms
(*.f64 z z)
3.0ms
x
3.0ms
y
3.0ms
z
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
74.6%3y
89.5%2(*.f64 z z)
89.5%2z
89.0%2(*.f64 x x)
89.0%2x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (*.f64 z z) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
(*.f64 z z)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
83.2%2x
83.2%2(*.f64 x x)
84.7%2z
84.7%2(*.f64 z z)
Compiler

Compiled 20 to 14 computations (30% saved)

regimes84.0ms (0.9%)

Memory
-21.2MiB live, 18.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y)))
(*.f64 #s(literal 1/2 binary64) y)
Calls

4 calls:

78.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
64.6%2y
63.0%1x
63.0%1(*.f64 x x)
63.0%1z
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

3 calls:

2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
36.5%1z
36.5%1x
36.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-4.2164149388886677e-116
0.0
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch15.0ms (0.2%)

Memory
-12.2MiB live, 27.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
9.156295580723954e+55
4.211105516293547e+59
Samples
9.0ms128×0valid
Compiler

Compiled 245 to 177 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.1% of total)
ival-sub: 1.0ms (17% of total)
ival-div: 1.0ms (17% of total)
ival-add: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.383774876158502e+111
1.7733409669357944e+119
Compiler

Compiled 21 to 17 computations (19% saved)

bsearch7.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
3.4248590424095657e+202
5.2261581599235075e+202
Samples
4.0ms64×0valid
Compiler

Compiled 101 to 77 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (40.3% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify79.0ms (0.8%)

Memory
-36.0MiB live, 20.4MiB allocated
Algorithm
1×egg-herbie
Rules
15×*-commutative
11×+-commutative
7×sub-neg
5×neg-sub0
5×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055481
190481
2105481
3116481
4123481
5126481
6127481
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -3549017208474643/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))))
(if (<=.f64 z #s(literal 6200000000000000264904576743728587498026488243508123533312 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 43000000000000002301764398406893548867570034096513183742703663568833711812317286031242175610045303045730245706184243413263529600474622636506129794286279059638723680111248287765759521068959463318845652992 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -3549017208474643/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y))))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -3549017208474643/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (/.f64 x y)))))
(if (<=.f64 z #s(literal 6200000000000000264904576743728587498026488243508123533312 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(if (<=.f64 (*.f64 z z) #s(literal 9999999999999999301199346926304397284673331501389768492615896861647229832830913903761963586894254467577228034048 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (/.f64 z y)))))
(if (<=.f64 y #s(literal 43000000000000002301764398406893548867570034096513183742703663568833711812317286031242175610045303045730245706184243413263529600474622636506129794286279059638723680111248287765759521068959463318845652992 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 43000000000000002301764398406893548867570034096513183742703663568833711812317286031242175610045303045730245706184243413263529600474622636506129794286279059638723680111248287765759521068959463318845652992 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 y (/.f64 (*.f64 x x) y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

soundness953.0ms (10%)

Memory
21.7MiB live, 968.0MiB allocated
Rules
991×fmm-def
684×div-sub
578×sub-neg
550×fmm-def
475×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038484
1647484
047672
1164660
2533660
32454660
47758660
046549
1811540
073330256
1172328132
2767728090
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 559 to 195 computations (65.1% saved)

preprocess62.0ms (0.7%)

Memory
-2.7MiB live, 149.8MiB allocated
Remove

(abs z)

(abs x)

Compiler

Compiled 1 250 to 568 computations (54.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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