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

Time bar (total: 5.6s)

analyze272.0ms (4.9%)

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

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-mult: 153.0ms (83.8% of total)
ival-sqrt: 21.0ms (11.5% of total)
ival-sub: 7.0ms (3.8% of total)
const: 1.0ms (0.5% of total)
backward-pass: 1.0ms (0.5% of total)

sample1.0s (18.4%)

Results
582.0ms8256×0valid
168.0ms2508×0invalid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
ival-mult: 269.0ms (62.9% of total)
ival-sqrt: 90.0ms (21% of total)
ival-sub: 55.0ms (12.9% of total)
const: 10.0ms (2.3% of total)
backward-pass: 4.0ms (0.9% of total)
Bogosity

preprocess239.0ms (4.3%)

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

Useful iterations: 0 (0.0ms)

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

(abs y)

(abs z)

(negabs x)

explain75.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-1(1.7830818049258244e+267 1.2108276506322725e-161 6.7632168938356574e-276)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
160-0-(-.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
44.0ms512×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (61.7% of total)
ival-sqrt: 4.0ms (20.6% of total)
ival-sub: 3.0ms (15.4% of total)
const: 1.0ms (5.1% 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
▶70.7%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify180.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(-.f64 (*.f64 y y) (*.f64 z z))
✓cost-diff0
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
✓cost-diff0
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Rules
699×fma-define
694×distribute-lft-out
583×fma-neg
499×distribute-lft-out--
491×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015148
126148
238148
367148
4143148
5393148
6844148
71705148
83827148
95495148
106362148
116731148
126961148
137075148
147075148
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z
Outputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
y
(*.f64 z z)
z

localize37.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
✓accuracy95.0%
(-.f64 (*.f64 y y) (*.f64 z z))
✓accuracy54.3%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
28.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (76.7% of total)
ival-sqrt: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.3%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))>
#<alt (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))>
#<alt (-.f64 (*.f64 y y) (*.f64 z z))>
#<alt (*.f64 y y)>
Outputs
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 5 binary64)))))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.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 (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
Calls

24 calls:

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

rewrite254.0ms (4.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
015102
1187102
2237898
Stop Event
1×node limit
Counts
4 → 282
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(*.f64 y y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(+.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 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #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 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (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 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(exp.f64 (log.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64)))
(+.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)))
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(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
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(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)))))
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(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #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))))
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(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)))))
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(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 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
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(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)))))
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(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)))
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(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify218.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
315×fma-neg
291×fma-define
272×associate-*r*
242×distribute-rgt-in
238×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072918119
1180016910
2564415563
Stop Event
1×node limit
Counts
378 → 451
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.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)))))
(+.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))))))))
(+.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))))))))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (+.f64 (*.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)))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.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)))))))
(*.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))))))))
(*.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)))))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 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)))))))
(+.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)))))))))
(*.f64 x (*.f64 z (sqrt.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)))))
(*.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))))))
(*.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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(*.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))))))
(*.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)))))))
(*.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))))))))
(*.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)
(*.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 #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 #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)))))))))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) 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)) (-.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 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 (*.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))))))))
(*.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)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #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)))))))))
(*.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))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.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))))))
(*.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))))))
(*.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))))))
(pow.f64 y #s(literal 2 binary64))
(*.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))))))
(*.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))))))
(*.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))))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))
(+.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)))))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) #s(literal 1 binary64))
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(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 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))))))
(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 (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)))))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.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)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (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)))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(+.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))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.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 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.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 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.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) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.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))))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.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 z #s(literal 5 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (/.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 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 x (*.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 -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (/.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 1/2 binary64) (/.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) x))
(*.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)))))))
(*.f64 y (+.f64 x (fma.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 x (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 y (+.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 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))))))))
(*.f64 y (+.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (/.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 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) x) (fma.f64 #s(literal -1/16 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
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(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))))
(-.f64 (pow.f64 y #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))))
(-.f64 (pow.f64 y #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 (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))) (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 (pow.f64 z #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(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)))
(-.f64 (pow.f64 y #s(literal 2 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))) (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 (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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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))))
(-.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))))
(-.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 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 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 (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))) (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 (pow.f64 z #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(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)))
(-.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)) (+.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 (pow.f64 y #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))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 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)))))
(-.f64 (pow.f64 y #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))))))
(-.f64 (pow.f64 y #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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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))))
(-.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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #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))))
(-.f64 (pow.f64 y #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) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 y #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) (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 (pow.f64 y #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 (pow.f64 y #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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #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)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #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))))) (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))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 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))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 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 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 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 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(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)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 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)))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (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)))) (pow.f64 (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))

eval61.0ms (1.1%)

Compiler

Compiled 11137 to 1677 computations (84.9% saved)

prune62.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4483451
Fresh000
Picked101
Done000
Total4493452
Accuracy
100.0%
Counts
452 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
▶72.5%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
▶99.2%
(*.f64 x y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify223.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y z)
✓cost-diff0
(sqrt.f64 (+.f64 y z))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
✓cost-diff0
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓cost-diff0
(-.f64 y z)
✓cost-diff0
(*.f64 (-.f64 y z) (+.f64 y z))
✓cost-diff0
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
✓cost-diff0
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
✓cost-diff0
(*.f64 x y)
Rules
2403×fma-neg
1148×distribute-lft-in
1072×distribute-rgt-in
783×fma-define
303×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020328
136328
271328
3136328
4268328
5598328
61242328
72426328
83109328
93437328
103545328
113667328
123769328
133795328
143807328
153811328
163811328
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x y)
x
y
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
x
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
(*.f64 (-.f64 y z) (+.f64 y z))
(-.f64 y z)
y
z
(+.f64 y z)
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
x
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
y
z
(sqrt.f64 (-.f64 y z))
(-.f64 y z)
Outputs
(*.f64 x y)
x
y
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(*.f64 x (sqrt.f64 (fma.f64 y y (*.f64 z (neg.f64 z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
x
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
(sqrt.f64 (fma.f64 y y (*.f64 z (neg.f64 z))))
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(*.f64 (-.f64 y z) (+.f64 y z))
(fma.f64 y y (*.f64 z (neg.f64 z)))
(-.f64 (*.f64 y y) (*.f64 z z))
(-.f64 y z)
y
z
(+.f64 y z)
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 y z)) (*.f64 x (sqrt.f64 (+.f64 y z))))
x
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
y
z
(sqrt.f64 (-.f64 y z))
(-.f64 y z)

localize64.0ms (1.2%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓accuracy100.0%
(sqrt.f64 (-.f64 y z))
✓accuracy100.0%
(sqrt.f64 (+.f64 y z))
✓accuracy99.2%
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
✓accuracy100.0%
(+.f64 y z)
✓accuracy100.0%
(*.f64 (-.f64 y z) (+.f64 y z))
✓accuracy100.0%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
✓accuracy54.3%
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
✓accuracy100.0%
(*.f64 x y)
Results
42.0ms256×0valid
Compiler

Compiled 80 to 14 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.7% of total)
ival-sqrt: 8.0ms (39% of total)
ival-sub: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.9%)

Counts
10 → 231
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<alt (*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))>
#<alt (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))>
#<alt (*.f64 (-.f64 y z) (+.f64 y z))>
#<alt (-.f64 y z)>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))>
#<alt (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))>
#<alt (sqrt.f64 (+.f64 y z))>
#<alt (+.f64 y z)>
#<alt (sqrt.f64 (-.f64 y z))>
Outputs
#<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 (*.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))))))))>
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#<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)))))>
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#<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 (*.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 (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))>
#<alt (+.f64 (sqrt.f64 z) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (+.f64 (sqrt.f64 z) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 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))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.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))))))))>
#<alt z>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))>
#<alt y>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 y)>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 y)>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))>
#<alt (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

66 calls:

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

rewrite210.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
779×prod-diff
706×log1p-expm1-u
706×expm1-log1p-u
418×fma-define
202×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020262
1290232
23448232
Stop Event
1×node limit
Counts
10 → 499
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z)))
(*.f64 (-.f64 y z) (+.f64 y z))
(-.f64 y z)
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (+.f64 y z))
(+.f64 y z)
(sqrt.f64 (-.f64 y z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (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 (-.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) (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))))))))
(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))))
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(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))))
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(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))))
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(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 (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)))))
(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 z) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(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 y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(*.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y 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 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(*.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #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 y z))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 y z)))
(exp.f64 (log.f64 (+.f64 y z)))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (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)))

simplify466.0ms (8.3%)

Algorithm
1×egg-herbie
Rules
788×times-frac
659×distribute-lft-in
637×distribute-rgt-in
438×*-commutative
221×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0144741550
1407434930
Stop Event
1×node limit
Counts
730 → 830
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.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)))))
(+.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))))))))
(+.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))))))))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))
(*.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)))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 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))))))
(*.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))))))
(*.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))))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y)))) y)) (*.f64 x y))
(+.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)))))
(+.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)))))))))
(*.f64 x (*.f64 z (sqrt.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)))))
(*.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))))))
(*.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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(*.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))))))
(*.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))))))
(*.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))))))
(*.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))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #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 #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)))))
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
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z
y
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(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64))))
y
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
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(sqrt.f64 y)
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(sqrt.f64 y)
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
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(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 (-.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) (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))))))))
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(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)))
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(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 (+.f64 y z)))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(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 (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)))))
(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 z) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 z))
(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 y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 y z)))
(*.f64 (+.f64 y z) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (+.f64 y z)))
(*.f64 #s(literal 1 binary64) (+.f64 y z))
(*.f64 (cbrt.f64 (+.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 y 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 (pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 2 binary64)) (cbrt.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 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(*.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 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #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 y z))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 z y))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y z))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y z)))
(pow.f64 (+.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 y z)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (+.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 y z)))
(log1p.f64 (expm1.f64 (+.f64 y z)))
(exp.f64 (log.f64 (+.f64 y z)))
(exp.f64 (*.f64 (log.f64 (+.f64 y z)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) y z)
(fma.f64 #s(literal 1 binary64) z y)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
(-.f64 (exp.f64 (log1p.f64 (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)))
Outputs
(*.f64 x (sqrt.f64 (*.f64 (+.f64 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.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 y z) (-.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.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)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) z) z) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 0 binary64) z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+.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))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (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 x (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) z) z) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 x (/.f64 (/.f64 #s(literal 0 binary64) z) (sqrt.f64 #s(literal -1 binary64))))))))
(+.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))))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 0 binary64) z) z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 y (*.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (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 z) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (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))))))))))
(fma.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 0 binary64) z) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) z) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 0 binary64) z))) y)))
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(sqrt.f64 y)
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z
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y
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eval274.0ms (4.9%)

Compiler

Compiled 24966 to 4511 computations (81.9% saved)

prune223.0ms (4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New104331046
Fresh000
Picked033
Done000
Total104361049
Accuracy
100.0%
Counts
1049 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓72.5%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
▶18.3%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
✓99.2%
(*.f64 x y)
▶95.2%
(expm1.f64 (log1p.f64 (*.f64 x y)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify55.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(*.f64 x y)
✓cost-diff0
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
cost-diff0
(-.f64 y z)
✓cost-diff0
(*.f64 (-.f64 y z) z)
✓cost-diff0
(sqrt.f64 (*.f64 (-.f64 y z) z))
✓cost-diff0
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
cost-diff-128
(*.f64 x y)
✓cost-diff0
(log1p.f64 (*.f64 x y))
✓cost-diff12800
(expm1.f64 (log1p.f64 (*.f64 x y)))
Rules
636×distribute-lft-in
536×distribute-rgt-in
505×fma-neg
485×associate-+r-
412×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021246
138246
282238
3177214
4212214
5505214
63326214
73932214
Stop Event
1×node limit
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 x y)
x
y
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
x
(sqrt.f64 (*.f64 (-.f64 y z) z))
(*.f64 (-.f64 y z) z)
(-.f64 y z)
y
z
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
x
y
#s(literal 3 binary64)
#s(literal 1/3 binary64)
Outputs
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(log1p.f64 (*.f64 x y))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
(*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))
x
(sqrt.f64 (*.f64 (-.f64 y z) z))
(sqrt.f64 (*.f64 z (-.f64 y z)))
(*.f64 (-.f64 y z) z)
(*.f64 z (-.f64 y z))
(-.f64 y z)
y
z
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
x
y
#s(literal 3 binary64)
#s(literal 1/3 binary64)

localize191.0ms (3.4%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
✓accuracy99.6%
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
✓accuracy57.9%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(*.f64 (-.f64 y z) z)
✓accuracy99.7%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
✓accuracy79.4%
(sqrt.f64 (*.f64 (-.f64 y z) z))
accuracy100.0%
(*.f64 x y)
✓accuracy95.9%
(expm1.f64 (log1p.f64 (*.f64 x y)))
✓accuracy78.4%
(log1p.f64 (*.f64 x y))
Results
161.0ms256×0valid
Compiler

Compiled 62 to 15 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-pow: 11.0ms (35.2% of total)
ival-mult: 6.0ms (19.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.8% of total)
ival-log1p: 3.0ms (9.6% of total)
ival-expm1: 2.0ms (6.4% of total)
ival-sub: 2.0ms (6.4% of total)
ival-sqrt: 2.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.8%)

Counts
7 → 180
Calls
Call 1
Inputs
#<alt (expm1.f64 (log1p.f64 (*.f64 x y)))>
#<alt (log1p.f64 (*.f64 x y))>
#<alt (*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))>
#<alt (sqrt.f64 (*.f64 (-.f64 y z) z))>
#<alt (*.f64 (-.f64 y z) z)>
#<alt (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (*.f64 x y) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)) x))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) y)) x))))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))>
#<alt (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x)) y))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) x)) y))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 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 y) (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 -1/8 binary64) (/.f64 (*.f64 x y) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (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 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x y) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 z y)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 z y))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z y)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z y))))))))>
#<alt (*.f64 x (sqrt.f64 (*.f64 y z)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))) (*.f64 x (sqrt.f64 (*.f64 y z))))>
#<alt (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))))))))>
#<alt (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 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 3 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) (*.f64 z (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 (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 1/8 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 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 -1/8 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) z))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))) z)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z)))))))))>
#<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 y (*.f64 z (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 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (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 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 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 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 z (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 (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 1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 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 -1/8 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) z))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y z) #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 y z) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(pow (* x y) 3)
3.0ms
z
@-inf
(* (- y z) z)
2.0ms
x
@0
(pow (pow (* x y) 3) 1/3)
2.0ms
y
@0
(sqrt (* (- y z) z))
2.0ms
x
@-inf
(pow (pow (* x y) 3) 1/3)

rewrite137.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
992×log1p-expm1-u
991×expm1-log1p-u
606×prod-diff
251×fma-define
179×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021145
1240145
22837145
Stop Event
1×node limit
Counts
7 → 197
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (*.f64 x y))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
(sqrt.f64 (*.f64 (-.f64 y z) z))
(*.f64 (-.f64 y z) z)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
Outputs
(+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 x y))) (sqrt.f64 (log1p.f64 (*.f64 x y))))
(pow.f64 (log1p.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x y)) #s(literal 2 binary64)))
(log.f64 (fma.f64 x y #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x y))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (-.f64 y z)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 z (-.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z)))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (-.f64 y z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (-.f64 y z))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))) (cbrt.f64 (*.f64 z (-.f64 y z))))
(*.f64 (cbrt.f64 (*.f64 z (-.f64 y z))) (cbrt.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))))
(*.f64 (sqrt.f64 (-.f64 y z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (-.f64 y z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (-.f64 y z)))))
(pow.f64 (*.f64 z (-.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (-.f64 y z))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (-.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 y z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 z) z))
(+.f64 (*.f64 y z) (*.f64 z (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) z) (fma.f64 z (+.f64 y z) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) z) (+.f64 y z))
(pow.f64 (*.f64 z (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (-.f64 y z))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 z (-.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 z (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 z (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 (neg.f64 z) z))
(fma.f64 y z (*.f64 z (neg.f64 z)))
(fma.f64 z y (*.f64 (neg.f64 z) z))
(fma.f64 z y (*.f64 z (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 (neg.f64 z) z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 z (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 (neg.f64 z) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 z (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 z (neg.f64 z)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 z (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 (neg.f64 z) z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 z (neg.f64 z)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 z (neg.f64 z)))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z) (*.f64 z (neg.f64 z)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (neg.f64 z) z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (neg.f64 z)))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 y (*.f64 x (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) y)
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))

simplify220.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
586×fma-define
534×associate-*r*
443×associate-*l*
407×*-commutative
245×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075012935
1197712445
2690712383
Stop Event
1×node limit
Counts
377 → 384
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) y)) x))))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
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(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 y (*.f64 x (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) y)
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) y))
(*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y))
(*.f64 x (+.f64 y (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 y (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y))
(+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 y) (log.f64 x))
(+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 y) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 x)))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 y) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (log.f64 x) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 (neg.f64 y)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)) x))))
(+.f64 (log.f64 (neg.f64 y)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)) x))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)) x))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) y)) x))))
(+.f64 (log.f64 (neg.f64 y)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) y)) x))))
(-.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal -1 binary64) y)) x))
(+.f64 (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) y)) x))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) y))
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
(*.f64 y (+.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) y))) x))
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 x (*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(+.f64 (log.f64 y) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 y) (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 y) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 x)))
(-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 y) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (log.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (+.f64 (log.f64 x) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) x)) y))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)) x))
(-.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y)) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+.f64 (log.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) y)) (/.f64 #s(literal 1 binary64) x)) y))))
(+.f64 (log.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (/.f64 #s(literal 1 binary64) x)) y))))
(-.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (/.f64 #s(literal -1 binary64) x)) y))
(+.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 z (-.f64 y z))))
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(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 z (neg.f64 z)))
(*.f64 z (-.f64 y z))
(+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x y)
(-.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 x y)
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x))
(*.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y))
(*.f64 x y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 x y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 x y)
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x y))
(*.f64 x y)
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x y)
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x y)
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 x y)
(*.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x y)
(/.f64 (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) (+.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 x y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x y)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64)))) (cbrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x y)
(fma.f64 (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 x (*.f64 y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y (*.f64 x (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x y))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x y))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) x) y)
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y) x)
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))

eval79.0ms (1.4%)

Compiler

Compiled 10293 to 2294 computations (77.7% saved)

prune111.0ms (2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5601561
Fresh000
Picked033
Done033
Total5607567
Accuracy
100.0%
Counts
567 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓72.5%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
✓18.3%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
▶18.3%
(*.f64 x (sqrt.f64 (*.f64 y z)))
✓99.2%
(*.f64 x y)
✓95.2%
(expm1.f64 (log1p.f64 (*.f64 x y)))
Compiler

Compiled 71 to 48 computations (32.4% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(sqrt.f64 (*.f64 y z))
✓cost-diff0
(*.f64 x (sqrt.f64 (*.f64 y z)))
Rules
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01368
11568
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (*.f64 y z)))
x
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
Outputs
(*.f64 x (sqrt.f64 (*.f64 y z)))
x
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z

localize24.0ms (0.4%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y z)
✓accuracy99.7%
(*.f64 x (sqrt.f64 (*.f64 y z)))
✓accuracy79.3%
(sqrt.f64 (*.f64 y z))
Results
17.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (61.1% of total)
ival-sqrt: 2.0ms (30.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

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

21 calls:

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

rewrite85.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
593×unpow-prod-down
490×log1p-expm1-u
490×expm1-log1p-u
419×pow1
310×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
112656
2138756
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (*.f64 y z)))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 y z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(sqrt.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 z) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (pow.f64 (*.f64 z (*.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 y)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3/2 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 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 y z))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))

simplify120.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
638×prod-exp
498×fma-define
382×exp-prod
290×distribute-lft-in
273×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02794475
14843363
211023267
335763267
467623267
Stop Event
1×node limit
Counts
117 → 132
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 y z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(sqrt.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y z)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 z) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (pow.f64 (*.f64 z (*.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 y)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3/2 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 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 y z))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(log.f64 (exp.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))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))))
(sqrt.f64 (*.f64 (*.f64 y z) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 y z))) x))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z)))))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 3 binary64)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 y z))))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y z))))
(*.f64 x (sqrt.f64 (*.f64 y z)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 y z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (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 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 (sqrt.f64 (*.f64 y z)) (log.f64 (E.f64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (*.f64 y z)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 y) (pow.f64 (*.f64 z (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 z (sqrt.f64 (*.f64 y z)))))
(*.f64 (cbrt.f64 z) (pow.f64 (*.f64 y (sqrt.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 y (sqrt.f64 (*.f64 y z)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (*.f64 (sqrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (pow.f64 (pow.f64 (*.f64 z (*.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 z (*.f64 y z)))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 (*.f64 y (*.f64 z z)))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 y) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (*.f64 z (cbrt.f64 y))))
(*.f64 (fabs.f64 (cbrt.f64 y)) (sqrt.f64 (*.f64 z (cbrt.f64 y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (*.f64 (cbrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y (cbrt.f64 z))))
(*.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (*.f64 y (cbrt.f64 z))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 y z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (*.f64 y (sqrt.f64 z))))
(*.f64 (pow.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (*.f64 z (sqrt.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (sqrt.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 y z) y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (*.f64 y (*.f64 y z)))))
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (*.f64 z (*.f64 y y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 y z) (sqrt.f64 y)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 y (*.f64 z (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 y) y) z)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y z) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 5/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 y z) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 y z))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 y z)))))
(fabs.f64 (sqrt.f64 (*.f64 y z)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y z))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y z))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(sqrt.f64 (*.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 y z)
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(*.f64 y z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y z)))) (sqrt.f64 (log.f64 (*.f64 y z))))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(*.f64 y z)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 y z)

eval18.0ms (0.3%)

Compiler

Compiled 1526 to 465 computations (69.5% saved)

prune21.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1320132
Fresh000
Picked011
Done066
Total1327139
Accuracy
100.0%
Counts
139 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
✓72.5%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
✓18.3%
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
✓18.3%
(*.f64 x (sqrt.f64 (*.f64 y z)))
✓99.2%
(*.f64 x y)
✓95.2%
(expm1.f64 (log1p.f64 (*.f64 x y)))
Compiler

Compiled 134 to 78 computations (41.8% saved)

regimes74.0ms (1.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
Calls

8 calls:

52.0ms
x
4.0ms
(*.f64 z z)
3.0ms
z
3.0ms
y
3.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1z
99.5%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.5%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.5%1(-.f64 (*.f64 y y) (*.f64 z z))
99.5%1(*.f64 y y)
99.5%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes21.0ms (0.4%)

Accuracy

Total -53.2b remaining (-10431.8%)

Threshold costs -53.2b (-10431.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 x (sqrt.f64 (*.f64 y z)))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) z)))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 y z) (+.f64 y z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
Outputs
(*.f64 x y)
Calls

8 calls:

3.0ms
z
3.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.2%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.2%1(-.f64 (*.f64 y y) (*.f64 z z))
99.2%1(*.f64 y y)
99.2%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
3×+-commutative
2×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

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

soundness370.0ms (6.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
072918119
1180016910
2564415563
015102
1187102
2237898
Stop Event
1×done
1×node limit
1×node limit
Compiler

Compiled 104 to 46 computations (55.8% saved)

preprocess43.0ms (0.8%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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