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

Time bar (total: 5.7s)

analyze117.0ms (2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
30.8%25%56.2%0.1%0%18.7%0%7
30.8%25%56.2%0.1%0%18.7%0%8
32%25%53%0.1%0%21.8%0%9
55.8%37.4%29.6%0.1%0%32.8%0%10
55.8%37.4%29.6%0.1%0%32.8%0%11
57.8%37.4%27.3%0.1%0%35.1%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 29.0ms (61.1% of total)
ival-sqrt: 10.0ms (21.1% of total)
ival-sub: 7.0ms (14.8% of total)
const: 1.0ms (2.1% of total)

sample1.6s (28.6%)

Results
1.0s8256×0valid
143.0ms2383×0invalid
Precisions
Click to see histograms. Total time spent on operations: 714.0ms
ival-mult: 529.0ms (74.1% of total)
ival-sqrt: 108.0ms (15.1% of total)
ival-sub: 64.0ms (9% of total)
const: 9.0ms (1.3% of total)
backward-pass: 4.0ms (0.6% of total)
Bogosity

preprocess237.0ms (4.1%)

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

Useful iterations: 0 (0.0ms)

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

(abs y)

(abs z)

(negabs x)

explain145.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-1(8.079667894505918e-206 2.5713356432952532e-157 1.406879660653804e-288)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
50-0-(-.f64 (*.f64 y y) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-z
00-0-(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
00-0-y
00-0-(*.f64 z z)
Results
116.0ms512×256valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 84.0ms (91.7% of total)
ival-sqrt: 4.0ms (4.4% of total)
ival-sub: 3.0ms (3.3% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize35.0ms (0.6%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
✓98.4%
(-.f64 (*.f64 y y) (*.f64 z z))
✓56.6%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
27.0ms256×256valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (57.1% of total)
ival-sqrt: 3.0ms (28.6% of total)
ival-sub: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
3 → 84
Calls
Call 1
Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

21 calls:

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

rewrite328.0ms (5.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01592
118792
2238388
Stop Event
1×node limit
Counts
3 → 265
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (hypot.f64 y z))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (hypot.f64 (pow.f64 y #s(literal 2 binary64)) (hypot.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z))))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(hypot.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z))
(hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y)
(hypot.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 y y (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 z (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 z (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) z)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) z) (sqrt.f64 z))))
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(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y z) (-.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))

simplify235.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
298×fma-neg
284×fma-define
272×associate-*r*
227×associate-*l*
222×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070117721
1175616512
2537215037
Stop Event
1×node limit
Counts
349 → 457
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) y)
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(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 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 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) y)) y)
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) y)) y)
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) x)) #s(literal 1 binary64)))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))

eval326.0ms (5.7%)

Compiler

Compiled 11305 to 7749 computations (31.5% saved)

prune98.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4543457
Fresh000
Picked011
Done000
Total4544458
Accuracy
100.0%
Counts
458 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(*.f64 y x)
▶88.1%
(*.f64 x (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
▶97.5%
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓73.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 59 to 42 computations (28.8% saved)

localize377.0ms (6.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓91.4%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓79.0%
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
✓100.0%
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
✓91.4%
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
Results
313.0ms256×256valid
Compiler

Compiled 165 to 117 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 275.0ms
ival-mult: 160.0ms (58.1% of total)
ival-pow: 68.0ms (24.7% of total)
ival-div: 29.0ms (10.5% of total)
ival-sub: 7.0ms (2.5% of total)
ival-add: 6.0ms (2.2% of total)
const: 5.0ms (1.8% of total)

series25.0ms (0.4%)

Counts
5 → 45
Calls
Call 1
Inputs
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
Calls

33 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* (pow z 2) (- (* -1/8 (/ (pow z 2) (pow y 3))) (* 1/2 (/ 1 y))))
2.0ms
y
@inf
(/ (pow z 2) y)
2.0ms
z
@0
(/ (pow z 2) (pow y 3))
1.0ms
z
@0
(* -1/2 (/ (pow z 2) y))
1.0ms
x
@0
(* x (+ y (* -1/2 (/ (pow z 2) y))))

rewrite176.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1172×log1p-expm1-u
521×expm1-log1p-u
164×associate-*r*
163×add-cube-cbrt
162×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027173
1382165
25396165
Stop Event
1×node limit
Counts
5 → 148
Calls
Call 1
Inputs
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 z (/.f64 z y))
(*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) y))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x)) (*.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 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)))) (fma.f64 y y (*.f64 (*.f64 (pow.f64 z #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)) y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 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))) x) (fma.f64 y y (*.f64 (*.f64 (pow.f64 z #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)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) x) (-.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
(pow.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
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(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x))
(fma.f64 x y (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 z (*.f64 z (pow.f64 y #s(literal -3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 z y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) y) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))

simplify217.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
326×distribute-lft-in
320×distribute-rgt-in
283×associate-*r*
273×cancel-sign-sub-inv
270×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04158572
19568309
234077991
Stop Event
1×node limit
Counts
193 → 221
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 z y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) y) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64)))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.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 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.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 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64))) (pow.f64 z #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/64 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) y))))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(pow.f64 (*.f64 z (sqrt.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 2 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(fabs.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal -3 binary64))))

eval117.0ms (2%)

Compiler

Compiled 4603 to 3229 computations (29.9% saved)

prune34.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2192221
Fresh000
Picked213
Done011
Total2214225
Accuracy
100.0%
Counts
225 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(*.f64 y x)
▶88.1%
(*.f64 x (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
▶99.5%
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓73.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 59 to 40 computations (32.2% saved)

localize218.0ms (3.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓93.2%
(*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))
✓92.5%
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
✓91.4%
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓100.0%
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))
✓99.8%
(*.f64 z (/.f64 z y))
Results
163.0ms256×256valid
Compiler

Compiled 164 to 100 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 46.0ms (35.7% of total)
ival-pow: 42.0ms (32.6% of total)
ival-div: 27.0ms (21% of total)
ival-sub: 5.0ms (3.9% of total)
ival-add: 5.0ms (3.9% of total)
const: 4.0ms (3.1% of total)

series12.0ms (0.2%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (*.f64 z (/.f64 z y))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 z (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))>
Outputs
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
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#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
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#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))>
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#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/ z (pow y 3))
0.0ms
z
@-inf
(/ z (pow y 3))
0.0ms
y
@0
(/ z (pow y 3))
0.0ms
z
@0
(/ z (pow y 3))
0.0ms
y
@inf
(/ z (pow y 3))

rewrite230.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
1273×log1p-expm1-u
214×associate-*r*
184×expm1-log1p-u
182×add-cube-cbrt
180×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029192
1424184
26000184
Stop Event
1×node limit
Counts
6 → 158
Calls
Call 1
Inputs
(*.f64 z (/.f64 z y))
(*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 z (/.f64 y z))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) y)
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))

simplify321.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
358×exp-prod
338×distribute-lft-in
332×distribute-rgt-in
279×distribute-lft-neg-in
268×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044010528
198810110
2323410014
3767310014
Stop Event
1×node limit
Counts
290 → 230
Calls
Call 1
Inputs
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(/.f64 z (/.f64 y z))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
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(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))) #s(literal 1 binary64))
(/.f64 z (/.f64 (pow.f64 y #s(literal 3 binary64)) z))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) y)
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (exp.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) x) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y x)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 x (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (/.f64 z y) #s(literal 2 binary64))) x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 x (fma.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64) y))
(*.f64 x (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64))) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal -3 binary64)))

eval89.0ms (1.6%)

Compiler

Compiled 4996 to 3476 computations (30.4% saved)

prune150.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2300230
Fresh000
Picked022
Done022
Total2304234
Accuracy
100.0%
Counts
234 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(*.f64 y x)
✓88.1%
(*.f64 x (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
✓99.5%
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y)))))
✓73.9%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 143 to 95 computations (33.6% saved)

regimes32.0ms (0.6%)

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

8 calls:

18.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
2.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.5%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.5%1(-.f64 (*.f64 y y) (*.f64 z z))
99.5%1(*.f64 y y)
99.5%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y x)
Outputs
(*.f64 y x)
Calls

3 calls:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

soundness478.0ms (8.4%)

Rules
1172×log1p-expm1-u
521×expm1-log1p-u
298×fma-neg
284×fma-define
272×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070117721
1175616512
2537215037
027173
1382165
25396165
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 62 to 37 computations (40.3% saved)

preprocess56.0ms (1%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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