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

Time bar (total: 7.2s)

analyze127.0ms (1.8%)

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

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 34.0ms (63.2% of total)
ival-sqrt: 12.0ms (22.3% of total)
ival-sub: 7.0ms (13% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

sample1.9s (26.4%)

Results
1.1s8256×0valid
197.0ms2425×0invalid
Precisions
Click to see histograms. Total time spent on operations: 748.0ms
ival-mult: 439.0ms (58.7% of total)
ival-sub: 171.0ms (22.9% of total)
ival-sqrt: 125.0ms (16.7% of total)
const: 10.0ms (1.3% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess228.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

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

(abs y)

(abs z)

(negabs x)

explain79.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-1(2.1824204223836717e-270 6.79645069889946e-158 5.961837568280178e-284)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
90-0-(-.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
49.0ms512×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 11.0ms (55.4% of total)
ival-sqrt: 5.0ms (25.2% of total)
ival-sub: 3.0ms (15.1% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize31.0ms (0.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
97.2%
(-.f64 (*.f64 y y) (*.f64 z z))
51.8%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
22.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49% of total)
ival-sqrt: 3.0ms (29.4% of total)
ival-sub: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

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

rewrite367.0ms (5.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01592
118792
2238388
Stop Event
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)))

simplify288.0ms (4%)

Algorithm
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
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))))))

eval152.0ms (2.1%)

Compiler

Compiled 11305 to 7749 computations (31.5% saved)

prune81.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4543457
Fresh000
Picked101
Done000
Total4553458
Accuracy
100.0%
Counts
458 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 y x)
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.7%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize69.0ms (1%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
100.0%
(sqrt.f64 (-.f64 y z))
100.0%
(sqrt.f64 (+.f64 z y))
99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
100.0%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
51.8%
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
Results
51.0ms256×0valid
Compiler

Compiled 80 to 15 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 16.0ms (61.6% of total)
ival-sqrt: 6.0ms (23.1% of total)
ival-add: 3.0ms (11.6% of total)
ival-sub: 2.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.6%)

Counts
6 → 168
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))>
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))>
#<alt (sqrt.f64 (+.f64 z y))>
#<alt (sqrt.f64 (-.f64 y z))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))>
Outputs
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (*.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 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y)))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 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 (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))>
#<alt (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (sqrt.f64 z)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (*.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 z (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z)))) (*.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 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))))) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* x (sqrt (* (- y z) (+ y z))))
3.0ms
y
@0
(sqrt (- y z))
2.0ms
z
@inf
(sqrt (* (- y z) (+ y z)))
1.0ms
y
@-inf
(sqrt (* (- y z) (+ y z)))
1.0ms
y
@0
(sqrt (+ z y))

rewrite150.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
717×log1p-expm1-u
717×expm1-log1p-u
605×log-prod
532×fma-define
190×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020192
1302168
23566168
Stop Event
node limit
Counts
6 → 193
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 z y))
(sqrt.f64 (-.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (-.f64 y z)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (sqrt.f64 (+.f64 y z))))
(*.f64 (cbrt.f64 (+.f64 y z)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) (sqrt.f64 (-.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (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 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))
(*.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)) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (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 (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 (*.f64 (sqrt.f64 (+.f64 y z)) (cbrt.f64 (-.f64 y z))) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (cbrt.f64 (+.f64 y z))) (cbrt.f64 (sqrt.f64 (+.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (pow.f64 (+.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.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))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.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 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.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))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 y z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 y (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (sqrt.f64 (*.f64 y (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 y z))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (-.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 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) (cbrt.f64 (+.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (sqrt.f64 (+.f64 y z))))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y z)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (hypot.f64 y (sqrt.f64 (*.f64 z (-.f64 z y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (hypot.f64 z (sqrt.f64 (*.f64 y (-.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (-.f64 z y)))
(pow.f64 (+.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 y z)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))

simplify236.0ms (3.3%)

Algorithm
egg-herbie
Rules
745×fma-define
660×associate-*r*
521×associate-*l*
501×distribute-lft-in
493×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083424597
1246619507
Stop Event
node limit
Counts
361 → 398
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
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y
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(sqrt.f64 z)
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(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 y z)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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))))
(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))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 #s(literal 0 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (/.f64 y z) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64)))))) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) z) y))))
(+.f64 y (/.f64 #s(literal 0 binary64) y))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) z) y) (/.f64 (+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 0 binary64) z) y) (/.f64 (+.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) z) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) y)) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) z))) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) y) #s(literal 0 binary64)) y)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) z))) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 y (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (neg.f64 y))) (neg.f64 y)) y))))
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) z) y))))
(+.f64 y (/.f64 #s(literal 0 binary64) y))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
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(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (+.f64 z y))
(fabs.f64 (sqrt.f64 (+.f64 y z)))
(sqrt.f64 (+.f64 z y))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))
(sqrt.f64 (+.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y z)))))
(sqrt.f64 (+.f64 z y))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y z))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 z y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(sqrt.f64 (+.f64 z y))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 (+.f64 z y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y z))))
(sqrt.f64 (+.f64 z y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y z))))
(sqrt.f64 (+.f64 z y))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 z y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 z y))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 y z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(sqrt.f64 (-.f64 y z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 y z))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 y z))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 y z)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 z y)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(sqrt.f64 (-.f64 y z))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(sqrt.f64 (-.f64 y z))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (-.f64 y z))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(sqrt.f64 (-.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(sqrt.f64 (-.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(sqrt.f64 (-.f64 y z))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(sqrt.f64 (+.f64 (neg.f64 z) y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(sqrt.f64 (-.f64 y z))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(sqrt.f64 (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 y z))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(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 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) x))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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))))
(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 (-.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))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))

eval128.0ms (1.8%)

Compiler

Compiled 11024 to 7287 computations (33.9% saved)

prune120.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3962398
Fresh000
Picked033
Done000
Total3965401
Accuracy
100.0%
Counts
401 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 y x)
91.3%
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
99.3%
(*.f64 x (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.7%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
Compiler

Compiled 94 to 63 computations (33% saved)

localize546.0ms (7.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
99.8%
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
91.5%
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
100.0%
(*.f64 x (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
100.0%
(sqrt.f64 (+.f64 y z))
99.6%
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))
99.3%
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))
Results
427.0ms256×0valid
Compiler

Compiled 342 to 225 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 370.0ms
ival-pow: 171.0ms (46.2% of total)
ival-mult: 104.0ms (28.1% of total)
ival-add: 41.0ms (11.1% of total)
ival-div: 40.0ms (10.8% of total)
const: 10.0ms (2.7% of total)
ival-sub: 2.0ms (0.5% of total)
ival-sqrt: 2.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series118.0ms (1.6%)

Counts
8 → 177
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))>
#<alt (sqrt.f64 (+.f64 y z))>
#<alt (*.f64 x (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))>
#<alt (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64)))))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -7/128 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/64 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))))))))))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))>
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#<alt (*.f64 #s(literal -1 binary64) y)>
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#<alt y>
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#<alt (sqrt.f64 z)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 y)>
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#<alt (sqrt.f64 z)>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 y z)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))) (/.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 y z))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (*.f64 y z)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) y))) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) y))) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))))>
Calls

51 calls:

TimeVariablePointExpression
54.0ms
y
@0
(/ (pow (+ y (* -1 y)) 2) (pow y 2))
9.0ms
x
@0
(* x (+ y (* z (+ (* -1/2 (/ (* z (+ 1 (* 1/4 (/ (pow (+ y (* -1 y)) 2) (pow y 2))))) y)) (* 1/2 (/ (+ y (* -1 y)) y))))))
6.0ms
z
@inf
(* (pow (- y z) 1/4) (sqrt (+ y z)))
4.0ms
y
@0
(* (pow (- y z) 1/4) (sqrt (+ y z)))
2.0ms
y
@-inf
(* (pow (- y z) 1/4) (sqrt (+ y z)))

rewrite101.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
298×log1p-expm1-u
298×expm1-log1p-u
294×add-cube-cbrt
291×add-exp-log
290×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039517
1647353
Stop Event
node limit
Counts
8 → 158
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))
(sqrt.f64 (+.f64 y z))
(*.f64 x (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
(/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 y z))) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y z) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 y z))) (sqrt.f64 (+.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (sqrt.f64 (+.f64 y z))))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (+.f64 y z))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y z)))
(pow.f64 (+.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 y z)))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z))) x)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))))
(pow.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 0 binary64) (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(log.f64 (pow.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) (*.f64 z (/.f64 #s(literal 0 binary64) y)))
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(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 1 binary64)))
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(fma.f64 x y (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))

simplify200.0ms (2.8%)

Algorithm
egg-herbie
Rules
651×distribute-lft-in
635×distribute-rgt-in
428×*-commutative
414×times-frac
272×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111721751
1361316338
Stop Event
node limit
Counts
335 → 480
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64)))))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -7/128 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/64 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1/4 binary64))))))))))))) (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) z)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) z)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)) z)) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 13 binary64))) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 z #s(literal 3 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 z #s(literal 2 binary64)))))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 z #s(literal 3 binary64))))))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 y) (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 z #s(literal 2 binary64))))))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/4 binary64))) (*.f64 z (+.f64 (*.f64 #s(literal -7/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -3/64 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1/4 binary64))))))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64))))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y #s(literal 3 binary64)))))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))))) (*.f64 (*.f64 z (/.f64 #s(literal 0 binary64) y)) (*.f64 z (/.f64 #s(literal 0 binary64) y)))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) (*.f64 z (/.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) z) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) z)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) y) z) (*.f64 (/.f64 #s(literal 0 binary64) y) z))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) z) (*.f64 (/.f64 #s(literal 0 binary64) y) z)))
(pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) (*.f64 z (/.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) z (*.f64 (/.f64 #s(literal 0 binary64) y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))))) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))))))) y)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
(+.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)) (*.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x))) (-.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)))
(pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x))
(fma.f64 x y (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
Outputs
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64))
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(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64))))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) x)) (*.f64 x (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)) (*.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))) (-.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))) (*.f64 y x)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 z y) z) #s(literal 3 binary64))))) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 (*.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) x)) (*.f64 x (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) #s(literal 2 binary64)))) (*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 z y))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x))) (-.f64 (*.f64 y x) (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y))) #s(literal 2 binary64)))) (*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 z y))))))
(pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 1 binary64))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 3 binary64))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 2 binary64))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y)) #s(literal 3 binary64)))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 3 binary64))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) y))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)) y))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(fma.f64 y x (*.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y))) x))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))
(fma.f64 x y (*.f64 x (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64)))) y)) (/.f64 #s(literal 0 binary64) y)))))
(*.f64 x (+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))))
(*.f64 x (fma.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) y))

eval187.0ms (2.6%)

Compiler

Compiled 16377 to 11447 computations (30.1% saved)

prune230.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4782480
Fresh000
Picked202
Done033
Total4805485
Accuracy
100.0%
Counts
485 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))))
99.6%
(*.f64 y x)
99.8%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.7%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
Compiler

Compiled 67 to 43 computations (35.8% saved)

localize145.0ms (2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))
97.3%
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))))
96.4%
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))))
94.0%
(*.f64 x (/.f64 z y))
100.0%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
99.8%
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
Results
112.0ms256×0valid
Compiler

Compiled 108 to 51 computations (52.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-fma: 54.0ms (62.1% of total)
ival-mult: 26.0ms (29.9% of total)
ival-add: 3.0ms (3.4% of total)
ival-div: 2.0ms (2.3% of total)
const: 2.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.5%)

Counts
7 → 204
Calls
Call 1
Inputs
#<alt (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 z y))>
#<alt (*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))>
#<alt (*.f64 x (/.f64 z y))>
#<alt (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))))>
#<alt (fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))))>
#<alt (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
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#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y))>
Calls

57 calls:

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

rewrite175.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
828×log1p-expm1-u
828×expm1-log1p-u
459×fma-define
232×log1p-undefine
192×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024230
1328218
24153218
Stop Event
node limit
Counts
7 → 290
Calls
Call 1
Inputs
(*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(*.f64 x (/.f64 z y))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))))
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) z) y)
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 z (*.f64 z #s(literal -1/2 binary64))) y)
(/.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -1/2 binary64))))
(/.f64 (*.f64 z #s(literal -1/2 binary64)) y)
(/.f64 (neg.f64 (*.f64 z #s(literal -1/2 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64))) x) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (*.f64 y x))
(fma.f64 y x (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 z x) (*.f64 y x))
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) x (*.f64 y x))
(fma.f64 x y (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 x (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (*.f64 y x))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) z (*.f64 y x))
(fma.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) z) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) x) (*.f64 y x))
(fma.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) z) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) x) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (sqrt.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x (/.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 y x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))) (*.f64 y x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (sqrt.f64 x)) (*.f64 y x))
(fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) z (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (*.f64 y x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))))) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))) (*.f64 y x))
(fma.f64 (*.f64 x (*.f64 z #s(literal -1/2 binary64))) (/.f64 z y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y x))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
(/.f64 (*.f64 z x) y)
(/.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64))) x) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)
(*.f64 (/.f64 x (/.f64 y z)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 z y))
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(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 1 binary64)))

simplify358.0ms (5%)

Algorithm
egg-herbie
Rules
422×cancel-sign-sub-inv
338×distribute-lft-neg-in
338×associate-*r*
317×distribute-rgt-neg-in
304×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052118137
1116217455
2355417339
Stop Event
node limit
Counts
494 → 329
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(fma.f64 (*.f64 x (*.f64 z #s(literal -1/2 binary64))) (/.f64 z y) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 z (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 0 binary64) z))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))) #s(literal 1 binary64))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))
(*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) x)
(*.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) (*.f64 (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) (sqrt.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))
(*.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))) (-.f64 (*.f64 y x) (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64)))) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) (neg.f64 y)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z))) #s(literal 2 binary64))) x) (-.f64 y (*.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)))))
(pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) x)
(*.f64 (/.f64 x (/.f64 y z)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 z y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (/.f64 y z))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (/.f64 y z))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x (/.f64 y z)))) (sqrt.f64 (/.f64 x (/.f64 y z))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 0 binary64)))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 3 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 2 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 2 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y))))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y) #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) z)) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z x) y))

eval73.0ms (1%)

Compiler

Compiled 5840 to 3008 computations (48.5% saved)

prune113.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3281329
Fresh000
Picked112
Done033
Total3295334
Accuracy
100.0%
Counts
334 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
99.6%
(*.f64 y x)
99.8%
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.7%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
Compiler

Compiled 196 to 114 computations (41.8% saved)

regimes146.0ms (2%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z x)) y)) (*.f64 y x))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))))))
(*.f64 x (+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y))))))
(*.f64 x (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 y z)))))
Outputs
(*.f64 x (+.f64 y (*.f64 z (*.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
Calls

8 calls:

102.0ms
x
29.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
3.0ms
z
3.0ms
y
2.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.8%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.8%1(-.f64 (*.f64 y y) (*.f64 z z))
99.8%1(*.f64 y y)
99.8%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
z
0.0ms
y
0.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

soundness695.0ms (9.7%)

Rules
817×log1p-expm1-u
817×expm1-log1p-u
651×distribute-lft-in
642×prod-diff
635×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070117721
1175616512
2537215037
0111721751
1361316338
039517
1647353
01592
118792
2238388
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 336 to 220 computations (34.5% saved)

preprocess36.0ms (0.5%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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