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

Time bar (total: 5.4s)

analyze130.0ms (2.4%)

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

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 28.0ms (58.5% of total)
ival-sqrt: 11.0ms (23% of total)
ival-sub: 7.0ms (14.6% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (24.4%)

Results
772.0ms8256×0valid
253.0ms2327×0invalid
Precisions
Click to see histograms. Total time spent on operations: 564.0ms
ival-mult: 370.0ms (65.6% of total)
ival-sub: 96.0ms (17% of total)
ival-sqrt: 86.0ms (15.2% of total)
const: 10.0ms (1.8% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess265.0ms (4.9%)

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

Useful iterations: 0 (0.0ms)

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

(abs y)

(abs z)

(negabs x)

explain138.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-1(7.801286563896083e+154 1.6890552702479503e-159 1.2039107203932661e-175)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
150-0-(-.f64 (*.f64 y y) (*.f64 z z))
00-0-(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))oflow-rescue1150
(*.f64 y y)overflow115
(-.f64 (*.f64 y y) (*.f64 z z))overflow115
(*.f64 z z)overflow15
-.f64(-.f64 (*.f64 y y) (*.f64 z z))nan-rescue150
(*.f64 y y)overflow115
(*.f64 z z)overflow15
sqrt.f64(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))uflow-rescue130
(*.f64 y y)underflow13
(-.f64 (*.f64 y y) (*.f64 z z))underflow13
(*.f64 z z)underflow107
Confusion
Predicted +Predicted -
+811
-47127
Precision
0.6328125
Recall
0.9878048780487805
Confusion?
Predicted +Predicted MaybePredicted -
+8101
-470127
Precision?
0.6328125
Recall?
0.9878048780487805
Freqs
test
numberfreq
0128
1113
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
58.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 14.0ms (65.6% of total)
ival-sqrt: 4.0ms (18.8% of total)
ival-sub: 2.0ms (9.4% of total)
const: 1.0ms (4.7% 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
69.6%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify182.0ms (3.4%)

Algorithm
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
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

localize32.0ms (0.6%)

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))))
accuracy95.3%
(-.f64 (*.f64 y y) (*.f64 z z))
accuracy53.4%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
23.0ms256×0valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.9% of total)
ival-sqrt: 2.0ms (18.8% of total)
ival-sub: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.5%)

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
9.0ms
x
@0
(* x (sqrt (- (* y y) (* z z))))
2.0ms
y
@0
(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))))

rewrite267.0ms (5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
015102
1187102
2237898
Stop Event
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))))
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(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.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)))

simplify237.0ms (4.4%)

Algorithm
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
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)))
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(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y z) (-.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 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)))))
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(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))

eval56.0ms (1%)

Compiler

Compiled 11137 to 1677 computations (84.9% saved)

prune64.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4483451
Fresh000
Picked011
Done000
Total4484452
Accuracy
100.0%
Counts
452 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
69.6%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 49 to 32 computations (34.7% saved)

simplify468.0ms (8.7%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 z #s(literal 2 binary64))
cost-diff0
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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 x y)
Rules
999×fma-neg
920×fma-define
480×times-frac
470×associate-*l*
448×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024346
142346
275341
3135337
4220337
5304337
6366337
7652337
82062337
94015337
104810337
115078337
125202337
135309337
145341337
155532337
166078337
176231337
186231337
196263337
206263337
216263337
226263337
236431337
247681337
257689337
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x y)
x
y
(*.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)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(*.f64 x y)
Outputs
(*.f64 x y)
x
y
(*.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)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 x y (*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
x
(pow.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
y
(*.f64 x y)

localize80.0ms (1.5%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
accuracy90.9%
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
accuracy88.7%
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
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))
accuracy99.3%
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
accuracy100.0%
(*.f64 x y)
Results
51.0ms256×0valid
Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.9% of total)
ival-div: 4.0ms (16.8% of total)
ival-sqrt: 4.0ms (16.8% of total)
ival-add: 3.0ms (12.6% of total)
ival-pow: 3.0ms (12.6% of total)
ival-sub: 1.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series53.0ms (1%)

Counts
11 → 159
Calls
Call 1
Inputs
#<alt (*.f64 x y)>
#<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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (sqrt.f64 (-.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
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)))))>
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#<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))))))>
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#<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))))>
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#<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))))>
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#<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)))))>
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#<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))))))))>
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#<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)))))>
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#<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))))>
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#<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))))))>
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#<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))))))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
Calls

75 calls:

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

rewrite193.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1121×log1p-expm1-u
774×expm1-log1p-u
166×associate-*r*
157×add-cube-cbrt
155×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024278
1350266
25000266
Stop Event
node limit
Counts
11 → 283
Calls
Call 1
Inputs
(*.f64 x y)
(*.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)
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(sqrt.f64 (-.f64 y z))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
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))
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(*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y x) (pow.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 z (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 z z)
(*.f64 (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 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) z))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) z))
(*.f64 (*.f64 z (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #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 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.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))))
(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 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))))
(*.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(*.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (sqrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))

simplify200.0ms (3.7%)

Algorithm
egg-herbie
Rules
825×fma-define
521×distribute-lft-in
517×distribute-rgt-in
440×times-frac
392×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114822594
1323919815
Stop Event
node limit
Counts
442 → 607
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))))
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(sqrt.f64 z)
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(sqrt.f64 y)
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(sqrt.f64 z)
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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))))
y
z
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(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
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(sqrt.f64 y)
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(sqrt.f64 y)
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(exp.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))
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 (*.f64 y (*.f64 #s(literal 0 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 (*.f64 x z) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) z)))
(+.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 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal 0 binary64) z) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) (+.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (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 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 (/.f64 x z) (/.f64 (*.f64 #s(literal 0 binary64) 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 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) (*.f64 (*.f64 x (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) z))) (*.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 (+.f64 z (*.f64 #s(literal -1 binary64) z))) y))))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) z) y)))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) y)) x))
(*.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 #s(literal 1/2 binary64) (+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) z) y)) (*.f64 x (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))))) x))
(*.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 y (+.f64 x (fma.f64 #s(literal -1/4 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) z) (-.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) z) y)) (*.f64 x (/.f64 (-.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 y (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))))) x) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x y)
(*.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 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) z) y)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64) (neg.f64 x)) (neg.f64 y))
(*.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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 0 binary64) z)))) y) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 y (neg.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (fma.f64 z z #s(literal 0 binary64)) y)))) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 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 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 0 binary64) z)))) y) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64)))) y)) y)) (neg.f64 y))
(*.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))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 z (/.f64 (*.f64 #s(literal 0 binary64) y) y))) (*.f64 x y))
(fma.f64 x y (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64))) 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)))))
(fma.f64 x y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) y) y))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (+.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64))) (fma.f64 x y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 3 binary64))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 2 binary64))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64)))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))

eval76.0ms (1.4%)

Compiler

Compiled 15225 to 2849 computations (81.3% saved)

prune86.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6201621
Fresh000
Picked123
Done011
Total6214625
Accuracy
100.0%
Counts
625 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
99.5%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
69.6%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 49 to 31 computations (36.7% saved)

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x (*.f64 z z))
cost-diff0
(/.f64 (*.f64 x (*.f64 z z)) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
Rules
48×associate-*l*
45×associate-*r*
38×fma-define
34×*-commutative
associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016180
128180
251175
3102171
4182171
5227171
6229171
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 z z)) y)
(*.f64 x (*.f64 z z))
x
(*.f64 z z)
z
y
(*.f64 x y)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (/.f64 x y)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 z y))) y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) z)) y)
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z z) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (*.f64 z z)) y)
(*.f64 x (/.f64 (*.f64 z z) y))
(*.f64 (*.f64 z z) (/.f64 x y))
(*.f64 x (*.f64 z z))
(*.f64 (*.f64 x z) z)
x
(*.f64 z z)
z
y
(*.f64 x y)

localize35.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
accuracy90.9%
(/.f64 (*.f64 x (*.f64 z z)) y)
accuracy88.7%
(*.f64 x (*.f64 z z))
Results
24.0ms256×0valid
Compiler

Compiled 48 to 11 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.1% of total)
ival-div: 2.0ms (18.6% of total)
ival-add: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
5 → 144
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))>
#<alt (/.f64 (*.f64 x (*.f64 z z)) y)>
#<alt (*.f64 x (*.f64 z z))>
#<alt (*.f64 z z)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
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#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (pow.f64 z #s(literal 2 binary64))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
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#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* -1/2 (/ (* x (* z z)) y))
0.0ms
z
@inf
(+ (* -1/2 (/ (* x (* z z)) y)) (* x y))
0.0ms
z
@-inf
(+ (* -1/2 (/ (* x (* z z)) y)) (* x y))
0.0ms
x
@0
(* -1/2 (/ (* x (* z z)) y))
0.0ms
y
@-inf
(+ (* -1/2 (/ (* x (* z z)) y)) (* x y))

rewrite138.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
702×log1p-expm1-u
702×expm1-log1p-u
634×log-prod
350×fma-define
182×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016139
1211139
22996139
Stop Event
node limit
Counts
5 → 185
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 (*.f64 x (*.f64 z z)) y)
(*.f64 x (*.f64 z z))
(*.f64 z z)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)))
(*.f64 (*.f64 z (sqrt.f64 x)) (/.f64 (*.f64 z (sqrt.f64 x)) y))
(*.f64 (*.f64 z (sqrt.f64 x)) (*.f64 (*.f64 z (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 (*.f64 x (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (pow.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 (*.f64 x z) (*.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 z (sqrt.f64 x)) y))
(*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z (sqrt.f64 x)) (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 x z) #s(literal 1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y))) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))

simplify160.0ms (3%)

Algorithm
egg-herbie
Rules
471×cancel-sign-sub-inv
406×distribute-lft-neg-in
383×distribute-rgt-neg-in
292×cube-prod
286×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044312110
1100411738
2330011450
Stop Event
node limit
Counts
329 → 232
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
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(*.f64 x (pow.f64 z #s(literal 2 binary64)))
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(*.f64 x (pow.f64 z #s(literal 2 binary64)))
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(*.f64 x (pow.f64 z #s(literal 2 binary64)))
(*.f64 x (pow.f64 z #s(literal 2 binary64)))
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(pow.f64 z #s(literal 2 binary64))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
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(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 x y)
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(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
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(fma.f64 y x (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)) (*.f64 x y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y))) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y))
(*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)) (*.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 x y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 x (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 y x (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (cbrt.f64 y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y))) (/.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))

eval29.0ms (0.5%)

Compiler

Compiled 4396 to 838 computations (80.9% saved)

prune31.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2311232
Fresh000
Picked101
Done123
Total2333236
Accuracy
100.0%
Counts
236 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
69.6%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify14.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) (/.f64 z y))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
Rules
47×associate-*r*
41×associate-*l*
38×fma-define
28×*-commutative
associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016171
129171
264166
3128162
4179162
5211162
6224162
7225162
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 x z)
x
z
(/.f64 z y)
y
(*.f64 x y)
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)) y))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 z z) y)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 x (/.f64 (*.f64 z z) y))
(*.f64 x z)
x
z
(/.f64 z y)
y
(*.f64 x y)

localize37.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
accuracy98.4%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
accuracy95.9%
(*.f64 (*.f64 x z) (/.f64 z y))
Results
26.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.9% of total)
ival-div: 2.0ms (17% of total)
ival-add: 1.0ms (8.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

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

39 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/ z y)
0.0ms
z
@-inf
(/ z y)
0.0ms
z
@0
(/ z y)
0.0ms
y
@-inf
(/ z y)
0.0ms
x
@inf
(* x z)

rewrite138.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
673×log1p-expm1-u
673×expm1-log1p-u
641×log-prod
392×fma-define
188×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016145
1211136
23002136
Stop Event
node limit
Counts
5 → 179
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y)))
(*.f64 (*.f64 x z) (/.f64 z y))
(*.f64 x z)
(/.f64 z y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 y z))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x z) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) (*.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z)) (cbrt.f64 (pow.f64 (exp.f64 x) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
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(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))

simplify230.0ms (4.3%)

Algorithm
egg-herbie
Rules
555×associate-*r/
418×distribute-lft-in
392×cancel-sign-sub-inv
390×distribute-rgt-in
367×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042711015
192310562
2283110429
Stop Event
node limit
Counts
287 → 221
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 y z))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal -1/2 binary64)) y)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x z) (/.f64 y z))
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(/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x z) (neg.f64 z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) (*.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
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(/.f64 (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
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(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 3 binary64))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
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(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
Outputs
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) y))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
(*.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 x y)))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y))
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(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (/.f64 z y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 x z) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) z) (/.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (/.f64 z y) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)) (*.f64 x y))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) y))))
(*.f64 x (+.f64 y (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))

eval29.0ms (0.5%)

Compiler

Compiled 4341 to 816 computations (81.2% saved)

prune32.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2350235
Fresh000
Picked011
Done022
Total2353238
Accuracy
100.0%
Counts
238 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
69.6%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 101 to 53 computations (47.5% saved)

regimes20.0ms (0.4%)

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

3.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
2.0ms
(-.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)

regimes18.0ms (0.3%)

Accuracy

Total -22.9b remaining (-5613.8%)

Threshold costs -22.9b (-5613.8%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x z) (/.f64 z y))) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z z)) y)) (*.f64 x y))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 x y))
Outputs
(*.f64 x y)
Calls

8 calls:

3.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
2.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.4%1(-.f64 (*.f64 y y) (*.f64 z z))
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
12361
22861
33061
43161
Stop Event
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)

soundness395.0ms (7.4%)

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
done
node limit
node limit
Compiler

Compiled 104 to 46 computations (55.8% saved)

preprocess156.0ms (2.9%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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