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

Time bar (total: 6.4s)

analyze127.0ms (2%)

Algorithm
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: 51.0ms
ival-mult: 33.0ms (64.9% of total)
ival-sqrt: 10.0ms (19.7% of total)
ival-sub: 7.0ms (13.8% of total)
const: 1.0ms (2% of total)
backward-pass: 1.0ms (2% of total)

sample2.2s (33.6%)

Results
1.4s8256×0valid
166.0ms2524×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 628.0ms (59.8% of total)
ival-sqrt: 208.0ms (19.8% of total)
ival-sub: 200.0ms (19% of total)
const: 10.0ms (1% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess240.0ms (3.8%)

Algorithm
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
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)

explain138.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-2(4.327932350797295e+95 2.010451067937606e-158 6.57169879501287e-292)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
130-0-(-.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
109.0ms512×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-sub: 66.0ms (78.7% of total)
ival-mult: 13.0ms (15.5% of total)
ival-sqrt: 4.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize286.0ms (4.5%)

Algorithm
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))))
accuracy95.9%
(-.f64 (*.f64 y y) (*.f64 z z))
accuracy51.8%
(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
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
67.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 51.0ms (92.7% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-sub: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.3%)

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
2.0ms
y
@-inf
(* x (sqrt (- (* y y) (* z z))))
1.0ms
x
@0
(* x (sqrt (- (* y y) (* z z))))
1.0ms
y
@0
(sqrt (- (* y y) (* z z)))
1.0ms
z
@inf
(sqrt (- (* y y) (* z z)))
1.0ms
y
@0
(* x (sqrt (- (* y y) (* z z))))

rewrite454.0ms (7.1%)

Algorithm
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
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)))

simplify237.0ms (3.7%)

Algorithm
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
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))

eval59.0ms (0.9%)

Compiler

Compiled 11347 to 1746 computations (84.6% saved)

prune86.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4623465
Fresh000
Picked011
Done000
Total4624466
Accuracy
100.0%
Counts
466 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
98.6%
(*.f64 y x)
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
67.1%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 49 to 32 computations (34.7% saved)

localize112.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 z #s(literal 2 binary64))
cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
accuracy91.9%
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
accuracy90.2%
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(sqrt.f64 (-.f64 y z))
accuracy100.0%
(sqrt.f64 (+.f64 z y))
accuracy100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
accuracy99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
Rules
52×fma-neg
43×associate-*r*
43×associate-*l*
41×fma-define
37×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016159
123159
235159
345159
455159
578159
6113159
7156159
8220159
9265159
10311159
11321159
12323159
0821
1921
017166
128166
249161
3101157
4177157
5225157
6228157
Stop Event
saturated
saturated
saturated
Calls
Call 1
Inputs
(+.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))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(*.f64 x y)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(*.f64 x y)
Call 2
Inputs
(*.f64 y x)
y
x
Outputs
(*.f64 y x)
y
x
Call 3
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)
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))))
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 x (sqrt.f64 (+.f64 z y))))
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)
Results
49.0ms256×0valid
Compiler

Compiled 91 to 19 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (46.6% of total)
ival-sqrt: 4.0ms (16.9% of total)
ival-add: 3.0ms (12.7% of total)
ival-pow: 3.0ms (12.7% of total)
ival-sub: 2.0ms (8.5% of total)
ival-div: 2.0ms (8.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.9%)

Counts
11 → 189
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))>
#<alt (sqrt.f64 (+.f64 z y))>
#<alt (sqrt.f64 (-.f64 y z))>
#<alt (*.f64 y x)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) 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 z y)>
#<alt (pow.f64 z #s(literal 2 binary64))>
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 (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
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#<alt (*.f64 x y)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 z)>
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#<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) (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 (*.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 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 (+.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 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

75 calls:

TimeVariablePointExpression
7.0ms
z
@0
(* x (* (sqrt (+ z y)) (sqrt (- y z))))
3.0ms
z
@inf
(* x (* (sqrt (+ z y)) (sqrt (- y z))))
2.0ms
y
@-inf
(* y x)
2.0ms
y
@-inf
(* (sqrt (+ z y)) (sqrt (- y z)))
2.0ms
y
@-inf
(/ (* x (pow z 2)) y)

rewrite200.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1150×log1p-expm1-u
638×expm1-log1p-u
169×associate-*r*
161×add-cube-cbrt
159×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025278
1374266
25152266
Stop Event
node limit
Counts
11 → 278
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(sqrt.f64 (+.f64 z y))
(sqrt.f64 (-.f64 y z))
(*.f64 y x)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) 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 z y)
(pow.f64 z #s(literal 2 binary64))
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))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 y x)) (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) (*.f64 y x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))
(fma.f64 x y (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #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 z z (*.f64 y (-.f64 y z)))))
(*.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 z z (*.f64 y (-.f64 y z))) (+.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 z z (*.f64 y (-.f64 y z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.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 z z (*.f64 y (-.f64 y z)))))
(/.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))))
(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 #s(literal 1 binary64) z y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(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)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify310.0ms (4.8%)

Algorithm
egg-herbie
Rules
836×fma-define
516×distribute-lft-in
513×distribute-rgt-in
397×times-frac
395×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114522681
1323219880
Stop Event
node limit
Counts
467 → 608
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)))
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(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)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
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 (+.f64 z (/.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 1/4 binary64) (/.f64 (*.f64 (+.f64 z (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))) y)) (/.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)))))))
(fma.f64 z (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 #s(literal 1/4 binary64) (/.f64 (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 #s(literal 0 binary64) y) (/.f64 (-.f64 (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 (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 (*.f64 #s(literal 0 binary64) y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (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 (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 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 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)))))))
(neg.f64 (fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 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 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 #s(literal 1/4 binary64) (/.f64 (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 #s(literal 1/4 binary64) (/.f64 (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 #s(literal 1/4 binary64) (/.f64 (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 (-.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 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) z)) z)) (neg.f64 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 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)))))))
(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))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) z)) (/.f64 #s(literal 0 binary64) (*.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))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 0 binary64) z)) (-.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 (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 #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 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #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))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) z))) (/.f64 #s(literal 0 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 1/2 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 0 binary64) y) y))))
(+.f64 y (/.f64 #s(literal 0 binary64) y))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(-.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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(*.f64 (+.f64 z y) #s(literal 1 binary64))
(+.f64 y z)
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (+.f64 z y)))
(+.f64 y z)
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(+.f64 y z)
(*.f64 (cbrt.f64 (+.f64 z y)) (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)))
(+.f64 y z)
(*.f64 (cbrt.f64 (+.f64 z y)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) (sqrt.f64 (+.f64 z y))))
(*.f64 (cbrt.f64 (+.f64 y z)) (*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (sqrt.f64 (+.f64 y z)))))
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z y)))
(+.f64 y z)
(*.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 y z)
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (-.f64 y z)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (-.f64 y z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (-.f64 y z))))
(*.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 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 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 y z)
(*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) (*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (-.f64 y z))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (-.f64 y z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (-.f64 y z))))
(/.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 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.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 z z (*.f64 y (-.f64 y z))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (-.f64 y z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (-.f64 y z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (-.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 z z (*.f64 y (-.f64 y z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 y (-.f64 y z)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (-.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y)))
(pow.f64 (+.f64 z y) #s(literal 1 binary64))
(+.f64 y z)
(pow.f64 (sqrt.f64 (+.f64 z y)) #s(literal 2 binary64))
(+.f64 y z)
(pow.f64 (cbrt.f64 (+.f64 z y)) #s(literal 3 binary64))
(+.f64 y z)
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y z))
(pow.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y z)
(sqrt.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y z))
(log.f64 (exp.f64 (+.f64 z y)))
(+.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z y))))
(+.f64 y z)
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)))
(+.f64 y z)
(expm1.f64 (log1p.f64 (+.f64 z y)))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 z y)))
(+.f64 y z)
(exp.f64 (log.f64 (+.f64 z y)))
(+.f64 y z)
(exp.f64 (*.f64 (log.f64 (+.f64 z y)) #s(literal 1 binary64)))
(+.f64 y z)
(fma.f64 #s(literal 1 binary64) z y)
(+.f64 y z)
(fma.f64 #s(literal 1 binary64) y z)
(+.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(+.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(+.f64 y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(+.f64 y z)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(+.f64 y z)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 z z)
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 z #s(literal 2 binary64))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 z #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))

eval255.0ms (4%)

Compiler

Compiled 14897 to 2868 computations (80.7% saved)

prune225.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6062608
Fresh000
Picked123
Done011
Total6075612
Accuracy
100.0%
Counts
612 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
90.7%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
98.6%
(*.f64 y x)
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
67.1%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize78.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff-12864
(*.f64 y x)
cost-diff0
(sqrt.f64 (*.f64 y x))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x (*.f64 z z))
cost-diff0
(/.f64 (*.f64 x (*.f64 z z)) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
accuracy100.0%
(*.f64 y x)
accuracy99.4%
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
accuracy73.0%
(sqrt.f64 (*.f64 y x))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
accuracy91.9%
(/.f64 (*.f64 x (*.f64 z z)) y)
accuracy90.2%
(*.f64 x (*.f64 z z))
Rules
48×associate-*l*
45×associate-*r*
38×fma-define
34×*-commutative
associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016180
128180
251175
3102171
4182171
5227171
6229171
01272
11452
21452
31552
Stop Event
saturated
saturated
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
#s(literal 2 binary64)
Outputs
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
y
x
#s(literal 2 binary64)
Call 2
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 z z)) y)
(*.f64 x (*.f64 z z))
x
(*.f64 z z)
z
y
(*.f64 x y)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (/.f64 x y)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) z)) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 z z)) y)
(*.f64 x (/.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) (/.f64 x y))
(*.f64 x (*.f64 z z))
(*.f64 (*.f64 x z) z)
x
(*.f64 z z)
z
y
(*.f64 x y)
Results
40.0ms256×0valid
Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (57.8% of total)
ival-pow: 3.0ms (15.8% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
7 → 192
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 z z))>
#<alt (/.f64 (*.f64 x (*.f64 z z)) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))>
#<alt (*.f64 z z)>
Outputs
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (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 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 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 (+.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 #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 (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
Calls

48 calls:

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

rewrite148.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
742×log1p-expm1-u
742×expm1-log1p-u
678×log-prod
365×fma-define
194×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021169
1281169
23283169
Stop Event
node limit
Counts
7 → 250
Calls
Call 1
Inputs
(*.f64 x (*.f64 z z))
(/.f64 (*.f64 x (*.f64 z z)) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
(sqrt.f64 (*.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 z z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 x)) (/.f64 (*.f64 z (sqrt.f64 x)) y))
(*.f64 (*.f64 z (sqrt.f64 x)) (*.f64 (*.f64 z (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 (*.f64 x z) (*.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
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(fma.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(/.f64 (neg.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
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(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x y)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
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(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
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(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify199.0ms (3.1%)

Algorithm
egg-herbie
Rules
524×distribute-lft-neg-in
505×distribute-rgt-neg-in
433×fma-neg
334×cube-prod
326×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055315333
1119014902
2417514589
Stop Event
node limit
Counts
442 → 320
Calls
Call 1
Inputs
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
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(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
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(*.f64 x y)
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(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
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(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
Outputs
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.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)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.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)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.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)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.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)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) 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 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 x (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 x y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 x y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 x y)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 x y)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 x y)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x y)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x y)
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x y)
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x y)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 z #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 z #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))

eval44.0ms (0.7%)

Compiler

Compiled 5676 to 1077 computations (81% saved)

prune53.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3331334
Fresh000
Picked202
Done033
Total3354339
Accuracy
100.0%
Counts
339 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
98.6%
(*.f64 y x)
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
67.1%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 49 to 31 computations (36.7% saved)

localize61.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) (/.f64 z y))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
accuracy94.6%
(*.f64 (*.f64 x z) (/.f64 z y))
Rules
47×associate-*r*
41×associate-*l*
38×fma-define
28×*-commutative
associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016171
129171
264166
3128162
4179162
5211162
6224162
7225162
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 x z)
x
z
(/.f64 z y)
y
(*.f64 x y)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 x (/.f64 (*.f64 z z) y))
(*.f64 x z)
x
z
(/.f64 z y)
y
(*.f64 x y)
Results
25.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.5% of total)
ival-div: 2.0ms (19% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
6 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x z) (/.f64 z y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 x z)>
#<alt (/.f64 z y)>
Outputs
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (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 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 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 (+.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 #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))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(+ (* -1/2 (* (* x z) (/ z y))) (* x y))
0.0ms
z
@inf
(/ z y)
0.0ms
z
@0
(/ z y)
0.0ms
z
@-inf
(/ z y)
0.0ms
x
@inf
(* x z)

rewrite137.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
673×log1p-expm1-u
673×expm1-log1p-u
641×log-prod
392×fma-define
188×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016158
1211149
23001149
Stop Event
node limit
Counts
6 → 195
Calls
Call 1
Inputs
(*.f64 (*.f64 x z) (/.f64 z y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
(*.f64 x y)
(*.f64 x z)
(/.f64 z y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x z) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) (*.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y))))
(*.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) (sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y)) (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 x z) (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 y x (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (/.f64 z y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 x y))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 z y) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 x z) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 z y) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 y z))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z y))) (cbrt.f64 (exp.f64 (/.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))))
(-.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 (/.f64 z y) (log.f64 (exp.f64 #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)))

simplify144.0ms (2.2%)

Algorithm
egg-herbie
Rules
526×distribute-lft-in
487×distribute-rgt-in
418×cancel-sign-sub-inv
407×distribute-lft-neg-in
366×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045211306
196210873
2316010849
Stop Event
node limit
Counts
303 → 248
Calls
Call 1
Inputs
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (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 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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 z y) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 x z) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 z y) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 y z))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z y))) (cbrt.f64 (exp.f64 (/.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))))
(-.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 (/.f64 z y) (log.f64 (exp.f64 #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 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 y z))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) y)
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z)) (neg.f64 y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(*.f64 x z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(*.f64 x z)
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(*.f64 x z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 x z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(*.f64 x z)
(+.f64 #s(literal 0 binary64) (/.f64 z y))
(/.f64 z y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z y))) (cbrt.f64 (exp.f64 (/.f64 z y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z 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 (/.f64 z y) (log.f64 (exp.f64 #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 #s(literal 1 binary64) (/.f64 z (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(/.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 (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.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) (/.f64 z (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(/.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)

eval33.0ms (0.5%)

Compiler

Compiled 4592 to 869 computations (81.1% saved)

prune41.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2480248
Fresh000
Picked011
Done033
Total2484252
Accuracy
100.0%
Counts
252 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
98.6%
(*.f64 y x)
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
67.1%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 121 to 65 computations (46.3% saved)

regimes20.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
Calls

8 calls:

4.0ms
y
3.0ms
(*.f64 y y)
2.0ms
z
2.0ms
x
2.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.5%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.5%1(-.f64 (*.f64 y y) (*.f64 z z))
99.5%1(*.f64 y y)
99.5%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes27.0ms (0.4%)

Accuracy

Total -23.1b remaining (-2675.1%)

Threshold costs -23.1b (-2675.1%)

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

8 calls:

12.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
3.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
98.6%1z
98.6%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
98.6%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
98.6%1(-.f64 (*.f64 y y) (*.f64 z z))
98.6%1(*.f64 y y)
98.6%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
12361
22861
33061
43161
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 y x)
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 y x)
(*.f64 x y)

soundness391.0ms (6.1%)

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
072918119
1180016910
2564615563
015102
1187102
2238398
Stop Event
done
node limit
node limit
Compiler

Compiled 124 to 55 computations (55.6% saved)

preprocess38.0ms (0.6%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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