Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1

Time bar (total: 4.5s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 18 to 12 computations (33.3% saved)

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

sample992.0ms (22.2%)

Results
697.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 438.0ms
ival-mult: 186.0ms (42.5% of total)
ival-add: 93.0ms (21.2% of total)
ival-sqrt: 81.0ms (18.5% of total)
ival-div: 64.0ms (14.6% of total)
const: 12.0ms (2.7% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess97.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
696×fma-neg
285×fma-define
111×cancel-sign-sub
88×div-sub
75×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050617
192573
2184573
3406573
4780573
51218573
61826573
72217573
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
Outputs
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64))))
(neg.f64 (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 x x (fma.f64 y y (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain112.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1500-2(2.6348588621180263e-282 5.165365907852821e-232 6.572201809754758e-161)(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-(*.f64 x x)
00-0-z
00-0-#s(literal 3 binary64)
00-0-(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
Results
67.0ms512×0valid
Compiler

Compiled 141 to 41 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.7% of total)
ival-div: 8.0ms (23.8% of total)
ival-add: 6.0ms (17.8% of total)
ival-sqrt: 6.0ms (17.8% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 52 to 24 computations (53.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
▶45.6%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize73.0ms (1.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓99.8%
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
✓45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
✓99.8%
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
✓45.6%
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Results
51.0ms256×0valid
Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (30.9% of total)
ival-fma: 6.0ms (20.6% of total)
ival-div: 5.0ms (17.1% of total)
ival-sqrt: 5.0ms (17.1% of total)
ival-add: 3.0ms (10.3% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.7%)

Counts
5 → 168
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))>
#<alt (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))>
#<alt (sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x x) (*.f64 y y))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
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#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
z
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
2.0ms
y
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
z
@0
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3))
1.0ms
x
@0
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))
1.0ms
x
@inf
(sqrt (* (+ (* y y) (+ (* x x) (* z z))) 1/3))

rewrite251.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
813×log1p-expm1-u
813×expm1-log1p-u
545×fma-define
277×fma-neg
214×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024208
1319151
24278151
Stop Event
1×node limit
Counts
5 → 183
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
(+.f64 (*.f64 x x) (*.f64 y y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -3 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (/.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1/3 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y x) (hypot.f64 y x))
(*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))

simplify230.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
881×distribute-rgt-in
876×distribute-lft-in
430×times-frac
368×associate-*r*
321×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048220691
1120818491
2399218383
Stop Event
1×node limit
Counts
351 → 313
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 x z)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(neg.f64 (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))
(*.f64 (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 (hypot.f64 x z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (hypot.f64 x z) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)))))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))

eval168.0ms (3.8%)

Compiler

Compiled 7483 to 5313 computations (29% saved)

prune53.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3094313
Fresh000
Picked112
Done000
Total3105315
Accuracy
100.0%
Counts
315 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
▶99.5%
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
▶99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
▶97.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 55 to 40 computations (27.3% saved)

localize105.0ms (2.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.3%
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
✓99.5%
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Results
75.0ms256×0valid
Compiler

Compiled 70 to 31 computations (55.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sqrt: 16.0ms (40.7% of total)
ival-hypot: 13.0ms (33.1% of total)
ival-mult: 6.0ms (15.3% of total)
ival-div: 2.0ms (5.1% of total)
const: 2.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.6%)

Counts
4 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)>
#<alt (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))>
#<alt (*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))>
#<alt (+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))>
#<alt (/.f64 x (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(* (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 1/3))
2.0ms
z
@0
(* (sqrt 1/3) z)
1.0ms
z
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))
1.0ms
z
@0
(* (sqrt 1/3) (sqrt (+ (* z z) (* y y))))
1.0ms
y
@0
(/ (sqrt (+ (* z z) (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))))) (sqrt 3))

rewrite123.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
712×log1p-expm1-u
712×expm1-log1p-u
636×log-prod
226×log-pow
222×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021101
1257101
23116101
Stop Event
1×node limit
Counts
4 → 94
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify205.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
607×times-frac
532×fma-define
492×associate-*r*
439×*-commutative
434×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062314097
1177913497
2644913449
Stop Event
1×node limit
Counts
202 → 373
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
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(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))) (hypot.f64 z (hypot.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z (hypot.f64 y x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (*.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 y (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) y)) (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(fma.f64 (sqrt.f64 #s(literal 1/3 binary64)) y (*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(+.f64 (*.f64 y (sqrt.f64 #s(literal 1/3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(fma.f64 y (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) y))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (pow.f64 z #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z (hypot.f64 y x)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64))) (/.f64 (/.f64 (cbrt.f64 (hypot.f64 z (hypot.f64 y x))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z (hypot.f64 y x))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z (hypot.f64 y x))) #s(literal -1 binary64))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z (hypot.f64 y x))) (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z (hypot.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))

eval345.0ms (7.7%)

Compiler

Compiled 10456 to 8134 computations (22.2% saved)

prune64.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3712373
Fresh000
Picked224
Done011
Total3735378
Accuracy
100.0%
Counts
378 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
▶97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 49 to 37 computations (24.5% saved)

localize49.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.3%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓99.3%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
Results
34.0ms256×0valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sqrt: 9.0ms (46.3% of total)
ival-hypot: 5.0ms (25.7% of total)
ival-div: 4.0ms (20.6% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))>
Outputs
#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.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)) (*.f64 (pow.f64 y #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 z (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #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)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #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)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.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)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (+.f64 (*.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)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))>
#<alt (/.f64 y (sqrt.f64 #s(literal 3 binary64)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@inf
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@0
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))
1.0ms
z
@inf
(/ z (sqrt 3))
1.0ms
y
@inf
(/ (sqrt (+ (* z z) (* y y))) (sqrt 3))

rewrite93.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
657×log1p-expm1-u
657×expm1-log1p-u
630×unpow-prod-down
353×log-prod
187×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
113837
2180337
Stop Event
1×node limit
Counts
2 → 154
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify115.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
663×times-frac
657×associate-*r/
523×associate-*l/
315×distribute-lft-in
296×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05116634
110866407
230306347
Stop Event
1×node limit
Counts
178 → 279
Calls
Call 1
Inputs
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.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)) (*.f64 (pow.f64 y #s(literal 5 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 z (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #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)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (sqrt.f64 #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)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.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 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.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)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (*.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)) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal 3 binary64))))))) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64))))))))
(+.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) z)
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 z (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (*.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z y)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (neg.f64 (hypot.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (hypot.f64 z y))
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (cbrt.f64 #s(literal 3 binary64))) (/.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (hypot.f64 z y) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (hypot.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (cbrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (hypot.f64 z y)) (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (hypot.f64 z y)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 3 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (cbrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 z y))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (hypot.f64 z y) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 z y)) (sqrt.f64 #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 z y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z y) #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 y (sqrt.f64 #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64))))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (sqrt.f64 #s(literal 3 binary64)))) (/.f64 y (sqrt.f64 #s(literal 3 binary64))))
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(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 1/3 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64))))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 3 binary64)) (hypot.f64 z y))) #s(literal -1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (hypot.f64 y z) (sqrt.f64 #s(literal 3 binary64)))

eval220.0ms (4.9%)

Compiler

Compiled 4551 to 3439 computations (24.4% saved)

prune56.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2781279
Fresh000
Picked022
Done033
Total2786284
Accuracy
100.0%
Counts
284 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
▶96.8%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 60 to 47 computations (21.7% saved)

localize49.0ms (1.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.4%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓98.4%
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
Results
35.0ms256×0valid
Compiler

Compiled 27 to 23 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sqrt: 7.0ms (33.6% of total)
ival-div: 5.0ms (24% of total)
ival-neg: 5.0ms (24% of total)
ival-mult: 2.0ms (9.6% of total)
const: 1.0ms (4.8% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))>
#<alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))>
Outputs
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
#<alt (/.f64 z (sqrt.f64 #s(literal 3 binary64)))>
Calls

3 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@inf
(* (neg z) (/ 1 (neg (sqrt 3))))
0.0ms
z
@-inf
(* (neg z) (/ 1 (neg (sqrt 3))))

rewrite33.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
60×add-cube-cbrt
59×add-exp-log
59×add-log-exp
59×log1p-expm1-u
59×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
114737
2195737
Stop Event
1×unsound
Counts
2 → 51
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
Outputs
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))

simplify119.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
610×sub-neg
385×associate-+r-
314×*-commutative
302×distribute-lft-in
300×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01101036
11841034
2497966
31750770
43023770
54805770
66876770
Stop Event
1×node limit
Counts
63 → 70
Calls
Call 1
Inputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
Outputs
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(neg.f64 (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 3 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 1/3 binary64)))
(sqrt.f64 #s(literal 1/3 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 3 binary64)) z))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 3 binary64) #s(literal 1/4 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal 1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (sqrt.f64 #s(literal 3 binary64)))
(/.f64 z (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 (/.f64 z (cbrt.f64 #s(literal 3 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))))
(/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 3 binary64))) (cbrt.f64 #s(literal 3 binary64))))
(/.f64 z (*.f64 (cbrt.f64 #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))))
(/.f64 (/.f64 z (cbrt.f64 (sqrt.f64 #s(literal 3 binary64)))) (cbrt.f64 #s(literal 3 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (sqrt.f64 #s(literal 1/3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sqrt.f64 #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal 1/3 binary64))))
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

eval12.0ms (0.3%)

Compiler

Compiled 531 to 427 computations (19.6% saved)

prune19.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done055
Total70676
Accuracy
100.0%
Counts
76 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
✓97.5%
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
✓99.4%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
✓97.6%
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
✓96.8%
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
✓45.6%
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Compiler

Compiled 133 to 91 computations (31.6% saved)

regimes159.0ms (3.6%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(/.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))) #s(literal 1/3 binary64)))
Outputs
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
Calls

10 calls:

131.0ms
z
6.0ms
x
4.0ms
(*.f64 z z)
3.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
3.0ms
y
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.5%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.5%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.5%1(+.f64 (*.f64 x x) (*.f64 y y))
99.5%1(*.f64 x x)
99.5%1(*.f64 y y)
99.5%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes26.0ms (0.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(/.f64 (hypot.f64 z y) (sqrt.f64 #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
Calls

10 calls:

6.0ms
y
4.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
2.0ms
x
2.0ms
z
2.0ms
(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
99.4%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
99.4%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
99.4%1(+.f64 (*.f64 x x) (*.f64 y y))
99.4%1(*.f64 x x)
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

regimes17.0ms (0.4%)

Accuracy

Total -34.0b remaining (-2260%)

Threshold costs -34b (-2260%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(/.f64 z (sqrt.f64 #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Calls

10 calls:

3.0ms
z
2.0ms
(*.f64 y y)
2.0ms
y
2.0ms
x
2.0ms
(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1y
97.6%1z
97.6%1(sqrt.f64 (/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64)))
97.6%1(/.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #s(literal 3 binary64))
97.6%1(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
97.6%1(+.f64 (*.f64 x x) (*.f64 y y))
97.6%1(*.f64 x x)
97.6%1(*.f64 y y)
97.6%1(*.f64 z z)
Compiler

Compiled 87 to 56 computations (35.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01869
12169
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
Outputs
(*.f64 (hypot.f64 z (hypot.f64 y x)) (sqrt.f64 #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (hypot.f64 z y))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) z)
(*.f64 z (sqrt.f64 #s(literal 1/3 binary64)))

soundness541.0ms (12.1%)

Rules
881×distribute-rgt-in
876×distribute-lft-in
813×log1p-expm1-u
813×expm1-log1p-u
696×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048220691
1120818491
2399218383
024208
1319151
24278151
050617
192573
2184573
3406573
4780573
51218573
61826573
72217573
Stop Event
1×done
1×saturated
1×node limit
1×node limit
Compiler

Compiled 337 to 160 computations (52.5% saved)

preprocess58.0ms (1.3%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 322 to 230 computations (28.6% saved)

end0.0ms (0%)

Profiling

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