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

Time bar (total: 7.0s)

analyze282.0ms (4%)

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
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
30.8%25%56.2%0.1%0%18.7%0%7
30.8%25%56.2%0.1%0%18.7%0%8
32%25%53%0.1%0%21.8%0%9
55.8%37.4%29.6%0.1%0%32.8%0%10
55.8%37.4%29.6%0.1%0%32.8%0%11
57.8%37.4%27.3%0.1%0%35.1%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult: 175.0ms (89.8% of total)
ival-sqrt: 11.0ms (5.6% of total)
ival-sub: 7.0ms (3.6% of total)
const: 1.0ms (0.5% of total)
backward-pass: 1.0ms (0.5% of total)

sample1.9s (26.9%)

Results
876.0ms8256×0valid
336.0ms2499×0invalid
Precisions
Click to see histograms. Total time spent on operations: 597.0ms
ival-mult: 400.0ms (67% of total)
ival-sub: 98.0ms (16.4% of total)
ival-sqrt: 85.0ms (14.2% of total)
const: 10.0ms (1.7% of total)
backward-pass: 4.0ms (0.7% of total)
Bogosity

preprocess229.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
878×fma-neg
591×distribute-lft-out
506×distribute-lft-out--
505×sub-neg
406×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040496
1123496
2253496
3701496
41966496
53128496
65068496
75738496
86329496
96628496
106718496
116814496
126878496
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z))))))
(*.f64 y (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 z (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y y))))
Outputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z)))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z))))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 y (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 z (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y y))))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 z y) (+.f64 y z))))
Symmetry

(abs y)

(abs z)

(negabs x)

explain91.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-1(5.0669941426419366e+306 1.1490716427145935e-158 9.018661947508379e-237)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
180-0-(-.f64 (*.f64 y y) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-z
00-0-(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
00-0-y
00-0-(*.f64 z z)
Results
61.0ms512×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 26.0ms (77.4% of total)
ival-sqrt: 4.0ms (11.9% of total)
ival-sub: 3.0ms (8.9% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune44.0ms (0.6%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.8%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize277.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(-.f64 (*.f64 y y) (*.f64 z z))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
✓cost-diff0
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
✓accuracy94.4%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy51.4%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Rules
699×fma-define
694×distribute-lft-out
583×fma-neg
499×distribute-lft-out--
491×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015148
126148
238148
367148
4143148
5393148
6844148
71705148
83827148
95495148
106362148
116731148
126961148
137075148
147075148
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
Results
82.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 36.0ms (89.9% of total)
ival-sqrt: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.6%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))>
#<alt (*.f64 y y)>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 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 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 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 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #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 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
Calls

24 calls:

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

rewrite262.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
817×log1p-expm1-u
817×expm1-log1p-u
642×prod-diff
423×log-prod
403×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015102
1187102
2238398
Stop Event
1×node limit
Counts
4 → 282
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 y y)
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 y z))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (hypot.f64 (pow.f64 y #s(literal 2 binary64)) (hypot.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z))))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(hypot.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z))
(hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)
(hypot.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #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))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #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))) (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 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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
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(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y 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))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y 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))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (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))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (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))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (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))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y z) (-.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (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))))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify240.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
315×fma-neg
291×fma-define
275×associate-*r*
242×distribute-rgt-in
238×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072918119
1180016910
2564615563
Stop Event
1×node limit
Counts
378 → 465
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
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(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
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(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
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(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))

eval57.0ms (0.8%)

Compiler

Compiled 11347 to 1746 computations (84.6% saved)

prune73.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4632465
Fresh000
Picked011
Done000
Total4633466
Accuracy
100.0%
Counts
466 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 y x)
▶99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
✓63.8%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize94.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(+.f64 z y)
✓cost-diff0
(sqrt.f64 (+.f64 z y))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
✓cost-diff0
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(sqrt.f64 (-.f64 y z))
✓accuracy100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
✓accuracy100.0%
(sqrt.f64 (+.f64 z y))
✓accuracy99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
Rules
202×fma-define
84×associate-*r*
78×fma-neg
51×associate-*l*
48×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017180
125180
237180
347180
457180
586180
6131180
7184180
8292180
9436180
10513180
11669180
12804180
13892180
14914180
15955180
16977180
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
x
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
(*.f64 y x)
y
x
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (sqrt.f64 (-.f64 y z)) x))
(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 x (sqrt.f64 (-.f64 y z))))
x
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
(*.f64 y x)
(*.f64 x y)
y
x
Results
29.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.8% of total)
ival-sqrt: 4.0ms (30.2% of total)
ival-add: 2.0ms (15.1% of total)
ival-sub: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.5%)

Counts
6 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))>
#<alt (sqrt.f64 (+.f64 z y))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))>
#<alt (sqrt.f64 (-.f64 y z))>
#<alt (*.f64 y x)>
#<alt (+.f64 z y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
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#<alt (sqrt.f64 y)>
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#<alt (*.f64 x y)>
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#<alt (*.f64 x y)>
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#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 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 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt y>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt (+.f64 y z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
(sqrt (+ z y))
2.0ms
y
@-inf
(* y x)
2.0ms
y
@-inf
(* (sqrt (+ z y)) (sqrt (- y z)))
2.0ms
y
@-inf
(* x (* (sqrt (+ z y)) (sqrt (- y z))))
1.0ms
z
@-inf
(* x (* (sqrt (+ z y)) (sqrt (- y z))))

rewrite131.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
740×prod-diff
674×log1p-expm1-u
674×expm1-log1p-u
367×fma-define
190×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017139
1228127
23089127
Stop Event
1×node limit
Counts
6 → 150
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(sqrt.f64 (-.f64 y z))
(*.f64 y x)
(+.f64 z y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 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 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 z y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 z y)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) (cbrt.f64 (+.f64 z y)))
(*.f64 (cbrt.f64 (+.f64 z y)) (cbrt.f64 (sqrt.f64 (+.f64 z y))))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 z y))))
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (hypot.f64 z (sqrt.f64 (*.f64 y (-.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 z y)))
(pow.f64 (+.f64 z y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 z y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 z y)))))
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 z y))))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 z y))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (+.f64 z y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (hypot.f64 z (sqrt.f64 (*.f64 z y)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 z y)))
(*.f64 (+.f64 z y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (+.f64 z y)))
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(*.f64 (cbrt.f64 (+.f64 z y)) (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 z y)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z y)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 z y))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 z y)))
(pow.f64 (+.f64 z y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 z y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z y))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z y)))
(log1p.f64 (expm1.f64 (+.f64 z y)))
(exp.f64 (log.f64 (+.f64 z y)))
(exp.f64 (*.f64 (log.f64 (+.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)

simplify146.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
762×fma-define
653×associate-*r*
518×associate-*l*
506×distribute-lft-in
499×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087115276
1258612524
Stop Event
1×node limit
Counts
306 → 432
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))
(+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))
(sqrt.f64 z)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z y)))
(*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 z y))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 z y)))
(pow.f64 (+.f64 z y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 z y)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z y))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z y)))
(log1p.f64 (expm1.f64 (+.f64 z y)))
(exp.f64 (log.f64 (+.f64 z y)))
(exp.f64 (*.f64 (log.f64 (+.f64 z y)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
Outputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 0 binary64) y) y))))
(+.f64 y (/.f64 #s(literal 0 binary64) y))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 y (*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/4 binary64) (*.f64 z (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64))))))))))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) y) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 0 binary64) y)) y)
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 z (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal -1 binary64))))) z))))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) z)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 (neg.f64 z) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) z) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) (sqrt.f64 #s(literal -1 binary64))))) z))))
(*.f64 z (neg.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) z)) z))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
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eval58.0ms (0.8%)

Compiler

Compiled 11390 to 2259 computations (80.2% saved)

prune62.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4284432
Fresh000
Picked022
Done011
Total4287435
Accuracy
100.0%
Counts
435 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
▶70.1%
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
✓99.5%
(*.f64 y x)
▶94.5%
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
✓99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
▶80.8%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
✓63.8%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 108 to 72 computations (33.3% saved)

localize335.0ms (4.7%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
✓cost-diff0
(cbrt.f64 (*.f64 y x))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
cost-diff0
(*.f64 y x)
✓cost-diff0
(log1p.f64 (*.f64 y x))
✓cost-diff6400
(exp.f64 (log1p.f64 (*.f64 y x)))
✓cost-diff12928
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
✓cost-diff13696
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
✓cost-diff13696
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
✓cost-diff14336
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))
✓cost-diff14336
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
cost-diff0
(+.f64 z y)
cost-diff0
(sqrt.f64 (+.f64 z y))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
✓cost-diff0
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
accuracy100.0%
(*.f64 y x)
✓accuracy99.2%
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
✓accuracy77.0%
(cbrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 y x)
✓accuracy95.8%
(exp.f64 (log1p.f64 (*.f64 y x)))
✓accuracy79.9%
(log1p.f64 (*.f64 y x))
✓accuracy74.4%
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
✓accuracy100.0%
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
✓accuracy99.8%
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
✓accuracy94.6%
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
accuracy100.0%
(sqrt.f64 (+.f64 z y))
✓accuracy100.0%
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
✓accuracy99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
✓accuracy68.2%
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
Rules
1021×fma-define
759×fma-neg
317×distribute-lft-neg-in
310×times-frac
285×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0471323
1111923
2315551
3847517
41445517
52141517
62898517
75362517
87777517
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
x
(*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
(-.f64 y z)
#s(literal 3/2 binary64)
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
x
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
y
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
z
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(+.f64 y (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))
#s(literal 1/2 binary64)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 3 binary64)
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))) x))
(*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 x (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
x
(*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(sqrt.f64 (+.f64 z y))
(+.f64 z y)
z
y
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
(-.f64 y z)
#s(literal 3/2 binary64)
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))))))
(*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)) (/.f64 #s(literal 0 binary64) y)) y))
(*.f64 x (fma.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) y))
(*.f64 x (fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y))
x
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)) (/.f64 #s(literal 0 binary64) y)) y)
(fma.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y)
y
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)) (/.f64 #s(literal 0 binary64) y)))
(*.f64 z (fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
z
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 z (/.f64 #s(literal -1/2 binary64) y) #s(literal 0 binary64))
(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 z y))
(/.f64 z y)
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
z
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
(+.f64 y (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
#s(literal -1 binary64)
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
(/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(exp.f64 (log1p.f64 (*.f64 y x)))
(exp.f64 (log1p.f64 (*.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 1 binary64))
(log1p.f64 (*.f64 y x))
(log1p.f64 (*.f64 x y))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
y
x
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(cbrt.f64 (*.f64 y x))
(cbrt.f64 (*.f64 x y))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
y
x
#s(literal 3 binary64)
Results
87.0ms181×0valid
68.0ms75×1valid
Compiler

Compiled 366 to 41 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-pow: 28.0ms (29.3% of total)
ival-mult: 19.0ms (19.9% of total)
ival-div: 9.0ms (9.4% of total)
ival-add: 9.0ms (9.4% of total)
backward-pass: 7.0ms (7.3% of total)
ival-exp: 6.0ms (6.3% of total)
ival-sub: 4.0ms (4.2% of total)
ival-sqrt: 4.0ms (4.2% of total)
ival-log1p: 4.0ms (4.2% of total)
ival-cbrt: 4.0ms (4.2% of total)
const: 2.0ms (2.1% of total)

series140.0ms (2%)

Counts
15 → 330
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))>
#<alt (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))>
#<alt (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))>
#<alt (log1p.f64 (*.f64 y x))>
#<alt (exp.f64 (log1p.f64 (*.f64 y x)))>
#<alt (cbrt.f64 (*.f64 y x))>
#<alt (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))>
#<alt (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)>
Outputs
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 x (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
#<alt (/.f64 z y)>
Calls

93 calls:

TimeVariablePointExpression
52.0ms
y
@0
(/ (pow (+ y (* -1 y)) 2) (pow y 2))
6.0ms
z
@inf
(* x (+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y))))))
4.0ms
z
@-inf
(* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y))))
3.0ms
x
@0
(* x (+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y))))))
3.0ms
x
@0
(cbrt (* y x))

rewrite155.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
338×log1p-expm1-u
338×expm1-log1p-u
325×add-exp-log
324×add-log-exp
324×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047696
1756616
Stop Event
1×node limit
Counts
15 → 319
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(pow.f64 (-.f64 y z) #s(literal 3/2 binary64))
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(log1p.f64 (*.f64 y x))
(exp.f64 (log1p.f64 (*.f64 y x)))
(cbrt.f64 (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y z))) (sqrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (fma.f64 z z (*.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y z))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 y z))) (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 y z) (sqrt.f64 (-.f64 y z)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 3/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y z))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) (/.f64 (*.f64 #s(literal 0 binary64) y) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) (*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))))
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(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
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(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 2 binary64))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 1 binary64)))

simplify272.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
660×distribute-lft-in
649×distribute-rgt-in
494×*-commutative
318×times-frac
218×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142430110
1427022581
Stop Event
1×node limit
Counts
649 → 696
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y))) (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y))) y))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)) y) (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y))) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y))) y)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))) #s(literal 1 binary64))
(*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))
(*.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) y))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
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eval127.0ms (1.8%)

Compiler

Compiled 24123 to 4682 computations (80.6% saved)

prune120.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New8913894
Fresh000
Picked404
Done123
Total8965901
Accuracy
100.0%
Counts
901 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
▶74.3%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
✓99.5%
(*.f64 y x)
▶100.0%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
✓63.8%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 59 to 38 computations (35.6% saved)

localize190.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (/.f64 z y))
✓cost-diff6400
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
✓cost-diff6400
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))
✓cost-diff6528
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(*.f64 y x)
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
✓cost-diff-6272
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
✓cost-diff0
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
✓accuracy100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
✓accuracy98.5%
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))
✓accuracy97.7%
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
✓accuracy93.1%
(*.f64 x (/.f64 z y))
accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 y x))
✓accuracy74.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
✓accuracy100.0%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
✓accuracy99.8%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
Rules
1195×fma-neg
640×cancel-sign-sub-inv
501×fma-define
447×times-frac
382×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025398
158366
2116354
3230354
4363354
5830354
62294354
74058354
85468354
97440354
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
x
(+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
y
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
z
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
#s(literal -1/2 binary64)
(/.f64 z y)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
x
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
x
y
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))
z
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
#s(literal -1/2 binary64)
(*.f64 x (/.f64 z y))
(/.f64 z y)
#s(literal 0 binary64)
Outputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(*.f64 x (fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y))
(*.f64 x (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) y))
x
(+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)
(fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y)
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) y)
y
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
z
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
(/.f64 z y)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
y
x
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(*.f64 x (fma.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y)) y))
(*.f64 x (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) y))
x
y
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))
(*.f64 (*.f64 x (*.f64 z #s(literal -1/2 binary64))) (/.f64 z y))
(*.f64 (*.f64 z (*.f64 x #s(literal -1/2 binary64))) (/.f64 z y))
(*.f64 z (*.f64 (*.f64 x z) (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 x (*.f64 z (*.f64 z (/.f64 #s(literal -1/2 binary64) y))))
z
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)))
(*.f64 x (*.f64 z (/.f64 #s(literal -1/2 binary64) y)))
(*.f64 (*.f64 x z) (/.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
(*.f64 x (/.f64 z y))
(/.f64 z y)
#s(literal 0 binary64)
Results
35.0ms181×0valid
37.0ms75×1valid
Compiler

Compiled 105 to 19 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 16.0ms (40.2% of total)
ival-div: 8.0ms (20.1% of total)
ival-fma: 7.0ms (17.6% of total)
backward-pass: 3.0ms (7.5% of total)
ival-add: 3.0ms (7.5% of total)
ival-sub: 2.0ms (5% of total)
const: 1.0ms (2.5% of total)

series37.0ms (0.5%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))>
#<alt (*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y x))>
#<alt (*.f64 x (/.f64 z y))>
#<alt (fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))>
#<alt (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))>
#<alt (/.f64 z y)>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (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 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (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 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 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 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 binary64) (*.f64 #s(literal -1/2 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 #s(literal 1/2 binary64) (/.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 #s(literal 1/2 binary64) (/.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 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #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 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 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 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 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 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 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (/.f64 (*.f64 x z) y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (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 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (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 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (+ y (* z (* -1/2 (/ z y)))))
1.0ms
z
@0
(* z (* -1/2 (/ z y)))
1.0ms
y
@0
(+ (* x y) (* z (+ (* -1/2 (* x (/ z y))) 0)))
1.0ms
z
@inf
(* x (+ y (* z (* -1/2 (/ z y)))))
1.0ms
x
@0
(+ (* x y) (* z (+ (* -1/2 (* x (/ z y))) 0)))

rewrite193.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1074×log1p-expm1-u
610×expm1-log1p-u
179×associate-*r*
164×add-cube-cbrt
163×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025324
1366292
25355292
Stop Event
1×node limit
Counts
11 → 341
Calls
Call 1
Inputs
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x (/.f64 z y))
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))
(/.f64 z y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))

simplify308.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
557×fma-neg
368×associate-*r*
366×exp-prod
361×cube-prod
321×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069320933
1147120030
2512019808
Stop Event
1×node limit
Counts
617 → 446
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
y
(*.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 binary64))))
(*.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 binary64))))
(*.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 binary64))))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #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 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 y (+.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 x z) y)
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
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(*.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) (*.f64 (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (-.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (-.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64))) x) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) (*.f64 z #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) (*.f64 #s(literal 0 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))))
(exp.f64 (+.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))
(*.f64 (*.f64 (/.f64 z y) x) #s(literal -1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 z y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (/.f64 z y) x))) (sqrt.f64 (*.f64 (/.f64 z y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 0 binary64)))
(/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y))) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 1 binary64))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 3 binary64))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 2 binary64))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 2 binary64)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x))))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x) #s(literal 3 binary64)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(/.f64 z y)
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 z y)
(*.f64 (cbrt.f64 (/.f64 z y)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(/.f64 z y)
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 z y)
(*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)))
(/.f64 z y)
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) y))
(/.f64 z y)
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))
(/.f64 z y)
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 z y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(/.f64 (/.f64 z (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) y))
(/.f64 z y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) y))
(/.f64 z y)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(/.f64 (/.f64 z (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 3 binary64))
(/.f64 z y)
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 z y)
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 2 binary64))
(/.f64 z y)
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 z y)
(neg.f64 (/.f64 z (neg.f64 y)))
(/.f64 z y)
(neg.f64 (/.f64 (neg.f64 z) y))
(/.f64 z y)
(sqrt.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)))
(/.f64 z y)
(log.f64 (exp.f64 (/.f64 z y)))
(/.f64 z y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z y))))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 z y)

eval78.0ms (1.1%)

Compiler

Compiled 7930 to 1737 computations (78.1% saved)

prune101.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5002502
Fresh000
Picked123
Done112
Total5025507
Accuracy
100.0%
Counts
507 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(fma.f64 y x (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)))
✓74.3%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
94.9%
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) (*.f64 y x))
✓99.5%
(*.f64 y x)
✓100.0%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
Compiler

Compiled 207 to 105 computations (49.3% saved)

regimes30.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)) (*.f64 y x))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(fma.f64 y x (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) #s(literal 0 binary64))))
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))))
Outputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
Calls

8 calls:

4.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
100.0%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
100.0%1(-.f64 (*.f64 y y) (*.f64 z z))
100.0%1(*.f64 y y)
100.0%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -16.1b remaining (-5288.5%)

Threshold costs -16.1b (-5288.5%)

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

3 calls:

2.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
12159
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 y x)
Outputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 y x)
(*.f64 x y)

soundness828.0ms (11.7%)

Rules
817×log1p-expm1-u
817×expm1-log1p-u
660×distribute-lft-in
649×distribute-rgt-in
642×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0142430110
1427022581
047696
1756616
072918119
1180016910
2564615563
015102
1187102
2238398
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 203 to 85 computations (58.1% saved)

preprocess107.0ms (1.5%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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