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

Time bar (total: 11.5s)

analyze57.0ms (0.5%)

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

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 17.0ms (65.9% of total)
ival-sub: 3.0ms (11.6% of total)
ival-add: 3.0ms (11.6% of total)
ival-div: 2.0ms (7.8% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (13.4%)

Results
820.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 452.0ms
ival-mult: 256.0ms (56.6% of total)
ival-sub: 75.0ms (16.6% of total)
ival-div: 67.0ms (14.8% of total)
ival-add: 41.0ms (9.1% of total)
const: 11.0ms (2.4% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess107.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
684×div-sub
578×sub-neg
550×fma-neg
426×associate-/l*
374×fma-define
Iterations

Useful iterations: 1 (0.0ms)

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

(abs x)

(abs z)

(negabs y)

explain188.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-0-(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
280-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-z
Results
54.0ms512×0valid
Compiler

Compiled 124 to 35 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 17.0ms (62.6% of total)
ival-div: 4.0ms (14.7% of total)
ival-sub: 3.0ms (11% of total)
ival-add: 2.0ms (7.4% of total)
const: 1.0ms (3.7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 45 to 17 computations (62.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶72.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
Compiler

Compiled 35 to 21 computations (40% saved)

simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 6 (0.0ms)

IterNodesCost
023423
149423
2101423
3252423
4689423
51837414
64031396
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
x
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z))
(fma.f64 y y (fma.f64 x x (*.f64 z (neg.f64 z))))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)

localize117.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x x) (*.f64 y y))
✓accuracy90.1%
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
✓accuracy77.5%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
✓accuracy97.7%
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z)))
✓accuracy93.5%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy77.5%
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y)
Results
98.0ms256×0valid
Compiler

Compiled 106 to 17 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (39.1% of total)
ival-add: 9.0ms (29.3% of total)
ival-div: 4.0ms (13% of total)
ival-fma: 3.0ms (9.8% of total)
ival-sub: 2.0ms (6.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

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

69 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
2.0ms
x
@inf
(+ (* x x) (* y y))
1.0ms
x
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
x
@inf
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))
1.0ms
y
@0
(* 1/2 (/ (+ (* x x) (- (* y y) (* z z))) y))

rewrite318.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1169×log1p-expm1-u
595×expm1-log1p-u
152×add-cube-cbrt
151×add-exp-log
151×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

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

simplify417.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
991×fma-neg
475×associate-*r*
415×associate-*l*
325×times-frac
255×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073330256
1171728132
2767228090
Stop Event
1×node limit
Counts
646 → 460
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
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(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
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(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(-.f64 (fma.f64 y y (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 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 (-.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 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.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 (-.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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 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 y x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.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))))
(/.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 (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)))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #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)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y x) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y y (pow.f64 x #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)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y 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 y y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(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)))

eval65.0ms (0.6%)

Compiler

Compiled 10058 to 1729 computations (82.8% saved)

prune84.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New47413487
Fresh000
Picked112
Done000
Total47514489
Accuracy
93.8%
Counts
489 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.4%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
70.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
35.5%
(/.f64 (-.f64 (/.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 z z)) (*.f64 y #s(literal 2 binary64)))
70.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓71.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
63.5%
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶71.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
34.5%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
30.9%
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
▶59.2%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
▶73.4%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
59.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
70.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
▶30.4%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 508 to 323 computations (36.4% saved)

simplify132.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
✓cost-diff0
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
✓cost-diff0
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
✓cost-diff0
(pow.f64 z #s(literal 2 binary64))
✓cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
✓cost-diff256
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
Rules
685×fma-define
503×associate-*r*
438×associate-*l*
356×distribute-lft-in
330×associate-+l+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033895
170875
2161875
3470851
41516843
55290843
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
y
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(hypot.f64 x y)
x
y
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 3 binary64)
Outputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 y (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
y
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
x
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
(hypot.f64 x y)
(hypot.f64 y x)
x
y
#s(literal 2 binary64)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 3 binary64)

localize158.0ms (1.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
✓accuracy90.1%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy77.5%
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
✓accuracy61.1%
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
✓accuracy90.1%
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy77.1%
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy93.6%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy88.3%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy93.6%
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓accuracy92.7%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
✓accuracy76.7%
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
Results
102.0ms256×0valid
Compiler

Compiled 247 to 27 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 33.0ms (54.7% of total)
ival-div: 9.0ms (14.9% of total)
ival-mult: 8.0ms (13.3% of total)
ival-hypot: 4.0ms (6.6% of total)
ival-sub: 3.0ms (5% of total)
ival-cbrt: 2.0ms (3.3% of total)
ival-add: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series111.0ms (1%)

Counts
17 → 414
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.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 (-.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 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)>
#<alt y>
#<alt (*.f64 y (-.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)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.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)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (-.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)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
Calls

123 calls:

TimeVariablePointExpression
8.0ms
z
@0
(cbrt (* 1/2 (/ (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) y)))
7.0ms
x
@inf
(cbrt (* 1/2 (/ (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) y)))
6.0ms
z
@-inf
(cbrt (* 1/2 (/ (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)) y)))
4.0ms
z
@inf
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
4.0ms
y
@-inf
(/ y (- (pow (sqrt (+ (* x x) (* y y))) 2) (pow z 2)))

rewrite310.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
475×log1p-expm1-u
235×expm1-log1p-u
228×pow1
227×add-exp-log
227×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033591
1550587
27542587
Stop Event
1×node limit
Counts
17 → 574
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 #s(literal 1/2 binary64) y)
Outputs
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) y))))
(/.f64 (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 (/.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))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.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))) #s(literal 1/4 binary64))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))))))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))

simplify764.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
727×fma-define
526×times-frac
461×*-commutative
426×distribute-lft-in
189×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161758836
1412656227
Stop Event
1×node limit
Counts
988 → 895
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 y)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 1 binary64))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1/2 binary64) y)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) y)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) y)

eval210.0ms (1.8%)

Compiler

Compiled 27416 to 4273 computations (84.4% saved)

prune424.0ms (3.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1108111119
Fresh628
Picked415
Done011
Total1118151133
Accuracy
94.5%
Counts
1133 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(pow.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))) (/.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
29.8%
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
▶30.7%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
70.9%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
✓71.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
▶18.3%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
34.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
▶30.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
58.7%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
48.5%
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
64.5%
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
▶77.3%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
59.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
✓30.4%
(*.f64 #s(literal 1/2 binary64) y)
▶27.8%
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
Compiler

Compiled 484 to 342 computations (29.3% saved)

simplify43.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
✓cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))
✓cost-diff64
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
✓cost-diff64
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
✓cost-diff12928
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 (*.f64 y #s(literal 1/2 binary64)))
✓cost-diff12800
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓cost-diff0
(*.f64 (+.f64 x z) (-.f64 x z))
✓cost-diff0
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
✓cost-diff320
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
Rules
907×distribute-lft-in
877×distribute-rgt-in
670×fma-define
515×associate-*r*
417×associate-*l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042725
187705
2208705
3627699
42045693
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
x
z
(-.f64 x z)
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(log.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(neg.f64 y)
y
#s(literal 3 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 z #s(literal 4 binary64))
z
(fma.f64 x x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (+.f64 x z) (-.f64 x z))
(+.f64 x z)
x
z
(-.f64 x z)
(pow.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 y #s(literal 1/2 binary64))
(log.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y)
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(neg.f64 y)
y
#s(literal 3 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 z #s(literal 4 binary64))
z
(fma.f64 x x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)

localize242.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy96.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
✓accuracy86.5%
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
✓accuracy39.9%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
accuracy100.0%
(pow.f64 z #s(literal 2 binary64))
✓accuracy99.4%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
✓accuracy88.7%
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))
✓accuracy54.3%
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(log.f64 (*.f64 y #s(literal 1/2 binary64)))
✓accuracy91.2%
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 (+.f64 x z) (-.f64 x z))
✓accuracy92.7%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
✓accuracy76.7%
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
Results
111.0ms256×0valid
Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 23.0ms (34.3% of total)
ival-mult: 12.0ms (17.9% of total)
ival-div: 11.0ms (16.4% of total)
ival-add: 6.0ms (8.9% of total)
ival-exp: 3.0ms (4.5% of total)
ival-fma: 3.0ms (4.5% of total)
ival-sub: 3.0ms (4.5% of total)
ival-log: 3.0ms (4.5% of total)
ival-cbrt: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series446.0ms (3.9%)

Counts
16 → 342
Calls
Call 1
Inputs
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (+.f64 x z) (-.f64 x z))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))>
#<alt (log.f64 (*.f64 y #s(literal 1/2 binary64)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))>
#<alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 y (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (pow.f64 x #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))>
Calls

96 calls:

TimeVariablePointExpression
271.0ms
y
@0
(cbrt (* 1/2 (/ (pow z 2) (neg y))))
39.0ms
y
@0
(log (* y 1/2))
38.0ms
y
@0
(* (/ 1/2 y) (- (pow x 4) (pow z 4)))
14.0ms
y
@-inf
(log (* y 1/2))
6.0ms
z
@0
(* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))

rewrite180.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
290×log1p-expm1-u
290×expm1-log1p-u
280×pow1
280×add-cube-cbrt
278×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042498
1680425
Stop Event
1×node limit
Counts
16 → 469
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (+.f64 x z) (-.f64 x z))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(log.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
Outputs
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) y))
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 y #s(literal 1/2 binary64)))
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simplify427.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
550×fma-define
342×associate-*r/
338×times-frac
334×distribute-lft-in
317×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119534364
1315730807
Stop Event
1×node limit
Counts
811 → 720
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
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(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
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(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (-.f64 x z))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y #s(literal 0 binary64))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 x y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 x y))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 x y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 x y))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64))) (*.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) x))) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64))) (*.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) x))) x)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64))))
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))
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(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) y)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))
(fma.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) y)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 x z) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 x z) #s(literal 4 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 z #s(literal 12 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (-.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))

eval109.0ms (1%)

Compiler

Compiled 15994 to 3047 computations (80.9% saved)

prune182.0ms (1.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New7758783
Fresh628
Picked325
Done022
Total78414798
Accuracy
100.0%
Counts
798 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶34.5%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
✓71.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
12.2%
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
▶34.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
✓30.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
2.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
✓77.3%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
▶92.6%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
82.9%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))))
▶2.0%
(*.f64 y #s(literal -1/2 binary64))
64.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
59.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
▶71.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
✓30.4%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 354 to 240 computations (32.2% saved)

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
✓cost-diff128
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))
✓cost-diff12992
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
✓cost-diff0
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (-.f64 x z) y)
✓cost-diff0
(+.f64 x z)
✓cost-diff0
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
✓cost-diff0
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(-.f64 x z)
✓cost-diff0
(/.f64 (-.f64 x z) y)
✓cost-diff0
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))
Rules
744×distribute-lft-in
711×distribute-rgt-in
674×fma-define
518×associate-*r*
461×unsub-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035712
177704
2196686
3583684
41950675
56596669
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
(/.f64 (+.f64 x z) y)
(+.f64 x z)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(+.f64 x z)
x
z
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))
(/.f64 z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(/.f64 z y)
y
#s(literal 3 binary64)
Outputs
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (*.f64 y y)) #s(literal 1 binary64))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) y) y))
y
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 x z) (*.f64 y y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) y) #s(literal 1/2 binary64))
(fma.f64 (+.f64 x z) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 z x)) (*.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (*.f64 y y))))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) y))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
(/.f64 (+.f64 x z) y)
(+.f64 x z)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 (-.f64 x z) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
#s(literal 1/2 binary64)
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))
(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))
(+.f64 x z)
x
z
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 z y) #s(literal -1 binary64))))
(*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/2 binary64))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 z y) #s(literal -1 binary64)))))
(cbrt.f64 (*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 z y) #s(literal -1 binary64))))
(*.f64 (*.f64 z (/.f64 z y)) #s(literal -1/2 binary64))
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))
(*.f64 z (/.f64 (/.f64 z y) #s(literal -1 binary64)))
(*.f64 z (/.f64 z (*.f64 #s(literal -1 binary64) y)))
(*.f64 z (/.f64 (neg.f64 z) y))
(/.f64 z #s(literal -1 binary64))
z
#s(literal -1 binary64)
(/.f64 z y)
y
#s(literal 3 binary64)

localize126.0ms (1.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
✓accuracy99.8%
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))
✓accuracy99.4%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
✓accuracy54.3%
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
✓accuracy88.7%
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
✓accuracy100.0%
(/.f64 (-.f64 x z) y)
✓accuracy99.8%
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 (-.f64 x z) y)
✓accuracy100.0%
(/.f64 (+.f64 x z) y)
✓accuracy99.7%
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
✓accuracy92.7%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
Results
88.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 13.0ms (29.8% of total)
ival-div: 12.0ms (27.5% of total)
ival-pow: 10.0ms (22.9% of total)
ival-add: 3.0ms (6.9% of total)
ival-cbrt: 3.0ms (6.9% of total)
ival-sub: 2.0ms (4.6% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.5%)

Counts
16 → 399
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))>
#<alt (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))>
#<alt (/.f64 (-.f64 x z) y)>
#<alt (-.f64 x z)>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))>
#<alt (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))>
#<alt (+.f64 x z)>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 y (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))>
#<alt (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))>
#<alt (/.f64 (+.f64 x z) y)>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (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)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (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)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 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 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (+.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 z y)>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x y))))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (+.f64 (/.f64 x y) (/.f64 z y))>
#<alt (/.f64 z y)>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 z y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) y))))>
Calls

114 calls:

TimeVariablePointExpression
4.0ms
y
@0
(* (+ x z) (/ (- x z) y))
3.0ms
z
@-inf
(* (/ (- x z) y) (/ (+ x z) y))
1.0ms
x
@0
(* y (+ 1/2 (* 1/2 (* (/ (- x z) y) (/ (+ x z) y)))))
1.0ms
y
@inf
(* 1/2 (* (+ x z) (/ (- x z) y)))
1.0ms
y
@0
(/ 1/2 (/ y (pow x 2)))

rewrite446.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
290×associate-*r*
246×log1p-expm1-u
246×expm1-log1p-u
245×add-cube-cbrt
242×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035518
1559455
Stop Event
1×node limit
Counts
16 → 498
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))
(*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))
(+.f64 x z)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
(/.f64 (+.f64 x z) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) y) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 x z))) (/.f64 y (+.f64 x z)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 x z))) #s(literal 1 binary64)) (/.f64 y (+.f64 x z)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 x z))) (neg.f64 (+.f64 x z))) (neg.f64 y))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 x z) (*.f64 (/.f64 y (+.f64 x z)) y))
(/.f64 (/.f64 (-.f64 x z) y) (/.f64 y (+.f64 x z)))
(/.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) y))
(/.f64 (/.f64 (+.f64 x z) y) (/.f64 y (-.f64 x z)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x z)) (/.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 x z)) (/.f64 y (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (-.f64 x z) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 x z)) (*.f64 (/.f64 y (-.f64 x z)) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 x z)) (*.f64 (/.f64 y (+.f64 x z)) (neg.f64 y)))
(/.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 (-.f64 x z) (/.f64 y (+.f64 x z))) y)
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (+.f64 x z))))
(/.f64 (*.f64 (+.f64 x z) #s(literal 1 binary64)) (*.f64 y (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) (neg.f64 (+.f64 x z))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (+.f64 x z)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) (neg.f64 (+.f64 x z))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x z) (neg.f64 (-.f64 x z))) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) (*.f64 (neg.f64 y) y))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) y)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) #s(literal 1 binary64))
(*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (+.f64 x z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (+.f64 x z) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x z)) (cbrt.f64 y)))
(pow.f64 (/.f64 (+.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x z) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x z)) y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #s(literal 1 binary64)))

simplify556.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
675×fma-define
432×distribute-lft-in
421×distribute-rgt-in
366×*-commutative
178×distribute-lft-neg-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137237522
1365733717
Stop Event
1×node limit
Counts
897 → 849
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #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 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
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(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x z) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x z)) (cbrt.f64 y)))
(pow.f64 (/.f64 (+.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (+.f64 x z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x z) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x z)) y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 0 binary64)) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 z (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 0 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z #s(literal 0 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #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 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #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 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 0 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) z)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 z x) y)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))
(/.f64 (+.f64 z x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 z x) y)

eval380.0ms (3.3%)

Compiler

Compiled 20212 to 4119 computations (79.6% saved)

prune623.0ms (5.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1027121039
Fresh415
Picked325
Done134
Total1035181053
Accuracy
100.0%
Counts
1053 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.1%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
30.9%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
71.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
34.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
37.3%
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
34.5%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
✓30.4%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
2.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
34.8%
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
37.3%
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
77.3%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (neg.f64 (+.f64 x z))) (*.f64 y (neg.f64 y))))))
76.5%
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
✓2.0%
(*.f64 y #s(literal -1/2 binary64))
✓71.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
36.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
71.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))))
71.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))
✓30.4%
(*.f64 #s(literal 1/2 binary64) y)
Compiler

Compiled 823 to 350 computations (57.5% saved)

regimes78.0ms (0.7%)

Counts
46 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x z) (neg.f64 (+.f64 x z))) (*.f64 y (neg.f64 y))))))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) y))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (pow.f64 y #s(literal -2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z y)))) #s(literal 3 binary64))
(/.f64 (-.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))) #s(literal 3 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (/.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 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (fma.f64 (/.f64 x y) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))) #s(literal 3 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))))
(pow.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 7 binary64)))) (/.f64 (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y)))))
Calls

6 calls:

14.0ms
x
13.0ms
y
13.0ms
z
12.0ms
(*.f64 x x)
12.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.6%1x
99.1%2y
95.9%3z
99.5%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
92.6%1(*.f64 x x)
95.9%3(*.f64 z z)
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes164.0ms (1.4%)

Counts
19 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
Calls

6 calls:

7.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
6.0ms
z
6.0ms
y
6.0ms
x
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
87.6%3x
87.6%3(*.f64 x x)
84.7%2z
84.7%2(*.f64 z z)
91.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
94.4%3y
Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
89.8%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 x z)) y))
(*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)))
(*.f64 #s(literal 1/2 binary64) y)
Calls

4 calls:

7.0ms
x
5.0ms
y
5.0ms
z
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
71.3%1z
74.2%2x
74.2%2(*.f64 x x)
81.5%2y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 z)) z) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 x y)))
Outputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))
Calls

4 calls:

7.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
60.6%4z
60.6%3x
60.6%3(*.f64 x x)
58.7%3y
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.1%)

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

4 calls:

4.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
54.9%2y
40.7%3z
53.7%2x
53.7%2(*.f64 x x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
54.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -18.8b remaining (-42.3%)

Threshold costs -18.8b (-42.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 #s(literal 1/2 binary64) y)
Calls

3 calls:

3.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
30.4%1z
30.4%1x
30.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.917955867078981e-123
2.0574233162729914e-120
Results
10.0ms128×0valid
Compiler

Compiled 312 to 200 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66.6% of total)
ival-sub: 1.0ms (16.6% of total)
ival-div: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch89.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
73.0ms
1.8267981869026274e+71
7.532768751996426e+71
14.0ms
9.338286597563128e-51
2.508677885640898e-48
Results
79.0ms224×0valid
Compiler

Compiled 524 to 336 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 68.0ms (94.4% of total)
ival-div: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
5.154911921337062e+57
5.372205559442603e+61
Results
12.0ms128×0valid
Compiler

Compiled 296 to 192 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (65.3% of total)
ival-sub: 1.0ms (13.1% of total)
ival-div: 1.0ms (13.1% of total)
ival-add: 1.0ms (13.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.0532245803446945e+107
2.5175106060097618e+109
Results
10.0ms112×0valid
Compiler

Compiled 178 to 128 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.1% of total)
ival-div: 2.0ms (30.1% of total)
ival-sub: 1.0ms (15% of total)
ival-add: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0344105475115197e-112
1.0359673993361562e-110
0.0ms
3.5194805956546523e-283
8.14963800640595e-282
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
5.154911921337062e+57
5.372205559442603e+61
Results
10.0ms128×0valid
Compiler

Compiled 168 to 128 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66.3% of total)
ival-sub: 1.0ms (16.6% of total)
ival-div: 1.0ms (16.6% of total)
ival-add: 1.0ms (16.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
5.154911921337062e+57
5.372205559442603e+61
Results
10.0ms128×0valid
Compiler

Compiled 168 to 128 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.6% of total)
ival-sub: 1.0ms (16.4% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
13×+-commutative
9×sub-neg
8×neg-sub0
8×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077732
1107732
2124732
3140732
4151732
5157732
6160732
7161732
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 8001040677046041/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))))))
(if (<=.f64 y #s(literal 8214358750147461/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z))) (if (<=.f64 y #s(literal 750000000000000006891215519304371735510022965575306774457744828917612544 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))))
(if (<=.f64 y #s(literal 9999999999999999438119489974413630815797154428513196965888 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y))))))
(if (<=.f64 y #s(literal 7000000000000000498733546961833991206968871154390690948581969393104966983488383350409997684372232512924024832 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 (*.f64 x x) #s(literal 653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (*.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (*.f64 x x) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))))
(if (<=.f64 y #s(literal 3500000000000000179666896716249036298944249900920719351480320 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 18500000000000000134097772525339259832541909790869438639112192 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
Outputs
(if (<=.f64 y #s(literal 8001040677046041/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (+.f64 x z) y))))))
(if (<=.f64 y #s(literal 8214358750147461/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x z)) (/.f64 y (-.f64 x z))) (if (<=.f64 y #s(literal 750000000000000006891215519304371735510022965575306774457744828917612544 binary64)) (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y)))))))
(if (<=.f64 y #s(literal 9999999999999999438119489974413630815797154428513196965888 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 z y))))))
(if (<=.f64 y #s(literal 7000000000000000498733546961833991206968871154390690948581969393104966983488383350409997684372232512924024832 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 7000000000000000498733546961833991206968871154390690948581969393104966983488383350409997684372232512924024832 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (*.f64 #s(literal 1/2 binary64) y) (if (<=.f64 (*.f64 x x) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 (/.f64 z y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))))
(if (<=.f64 (*.f64 x x) #s(literal 653996952628337/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (*.f64 y #s(literal 1/2 binary64)) (if (<=.f64 (*.f64 x x) #s(literal 4332296397063773/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) (*.f64 (/.f64 z y) (*.f64 #s(literal 1/2 binary64) (neg.f64 z))) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x))))
(if (<=.f64 y #s(literal 3500000000000000179666896716249036298944249900920719351480320 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x)) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 3500000000000000179666896716249036298944249900920719351480320 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y x) x)) (*.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 18500000000000000134097772525339259832541909790869438639112192 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 18500000000000000134097772525339259832541909790869438639112192 binary64)) (*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

soundness1.9s (16.5%)

Rules
1169×log1p-expm1-u
727×fma-define
684×div-sub
675×fma-define
595×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137237522
1365733717
0161758836
1412656227
033591
1550587
27542587
023323
1353293
25104293
042498
1680425
035518
1559455
0119534364
1315730807
047672
1164660
2533660
32454660
47758660
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1293 to 435 computations (66.4% saved)

preprocess108.0ms (0.9%)

Compiler

Compiled 878 to 394 computations (55.1% saved)

end0.0ms (0%)

Profiling

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