Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Details

Time bar (total: 9.9s)

analyze88.0ms (0.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
66.7%49.9%25%0.1%0%25%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
80%49.9%12.5%0.1%0%37.4%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
88.9%49.9%6.2%0.1%0%43.7%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.5s (15.5%)

Results
1.3s8216×body256valid
183.0ms1035×body256invalid
4.0ms39×body256infinite
0.0ms1×body1024valid
Bogosity

preprocess169.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
1732×sub-neg
976×neg-sub0
816×fma-def
770×distribute-lft-neg-in
736×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028140
177140
2245124
31077124
43422124
55234124
66737124
77700124
87939124
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z))
(+.f64 x (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) y) z))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) z) x))
(+.f64 z (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y x)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y))
(+.f64 z (-.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) y))
(+.f64 x (-.f64 (fma.f64 (log.f64 z) (-.f64 -1/2 z) z) y))
(+.f64 x (-.f64 z (fma.f64 (+.f64 1/2 z) (log.f64 z) y)))
(+.f64 z (-.f64 (fma.f64 (log.f64 z) (-.f64 -1/2 z) x) y))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify166.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1394×fma-neg
1140×unsub-neg
1102×distribute-rgt-in
1078×sub-neg
990×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
12735
28031
331531
497231
5288431
6457231
7502331
8516631
9519331
10521031
11552031
12638831
13799331
Stop Event
1×node limit
Counts
1 → 7
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(-.f64 x (+.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) (neg.f64 y)) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) z))

eval1.0ms (0%)

Compiler

Compiled 83 to 41 computations (50.6% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New527
Fresh011
Picked000
Done000
Total538
Accurracy
99.9%
Counts
8 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶99.9%
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
▶99.8%
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶99.9%
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
Compiler

Compiled 58 to 38 computations (34.5% saved)

localize128.0ms (1.3%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
✓99.8%
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
✓99.7%
(*.f64 (+.f64 y 1/2) (log.f64 y))
✓100.0%
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
✓100.0%
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
✓99.7%
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
Compiler

Compiled 89 to 46 computations (48.3% saved)

series21.0ms (0.2%)

Counts
6 → 132
Calls

33 calls:

TimeVariablePointExpression
5.0ms
y
@0
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
4.0ms
y
@-inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
3.0ms
z
@0
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
2.0ms
y
@inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
2.0ms
y
@-inf
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)

rewrite126.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1072×fma-neg
778×expm1-udef
776×log1p-udef
456×add-sqr-sqrt
446×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018144
1420140
26299140
Stop Event
1×node limit
Counts
6 → 227
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
Outputs
(+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y)
(+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) 1)
(*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)
(*.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(*.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) y))))
(/.f64 (fma.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 (*.f64 y y))) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))
(pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1)
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3)
(pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2))
(log.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(exp.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (neg.f64 z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (*.f64 (neg.f64 z) 1))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (fma.f64 (neg.f64 z) 1 z))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (neg.f64 z)))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 y z))
(+.f64 (neg.f64 z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 1)
(*.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z z)) (/.f64 1 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 z)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 z 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z z)) (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 z z))) (neg.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3) (pow.f64 (neg.f64 z) 3)) (+.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (neg.f64 z)))
(pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (neg.f64 z))
(fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (neg.f64 z))
(fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (neg.f64 z))
(fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) (neg.f64 z))
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 z x))
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) z)) (/.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 2) (+.f64 (-.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) z)))
(*.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x) 1)
(*.f64 1 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))
(*.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) (pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 2) (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) (sqrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)))))
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(*.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (/.f64 1 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))) (neg.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (*.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (-.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 x 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 1 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))

simplify174.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
968×fma-def
770×div-sub
664×log-prod
442×associate-*r*
400×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057014595
1148712635
2598412599
Stop Event
1×node limit
Counts
359 → 371
Calls
Call 1
Inputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(-.f64 (*.f64 -1/2 (log.f64 y)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y))) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) z)
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) z)
(-.f64 (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))) z)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))) z)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
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(fma.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y y)) (/.f64 1 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))) (neg.f64 z))
(+.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) 1/2))
(+.f64 (*.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y))
(+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)
(/.f64 (*.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (fma.f64 y y (-.f64 1/4 (*.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
(pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 y (+.f64 y 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 1))
(log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))
(-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))) (/.f64 (*.f64 y y) (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(*.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) 1)
(*.f64 1 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))))
(*.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y y)) (/.f64 1 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y))) (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y y)) (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 y y))) (neg.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (*.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y)) (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))) (*.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) (-.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2)) (-.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y)) (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y)))) (+.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(exp.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)))
(fma.f64 x 1 (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(fma.f64 1 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 1 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(fma.f64 1 x (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(fma.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) y)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) (+.f64 y 1/2) (neg.f64 y))))
(fma.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(+.f64 x (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (fma.f64 (-.f64 -1/2 y) (log.f64 y) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (fma.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1 (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) (*.f64 (log.f64 y) (+.f64 y 1/2))))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x)
(*.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(*.f64 1 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (/.f64 1 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))) (neg.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (*.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (-.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(fma.f64 x 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 1 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
Outputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 (neg.f64 y) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) -1))
(*.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (neg.f64 y))
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(/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (fma.f64 (log.f64 y) (+.f64 y 1/2) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (fma.f64 (log.f64 y) (+.f64 y 1/2) x))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3)) (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (fma.f64 (log.f64 y) (+.f64 y 1/2) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))) (neg.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (fma.f64 (log.f64 y) (+.f64 y 1/2) x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (*.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) 1) (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3)) (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (fma.f64 (log.f64 y) (+.f64 y 1/2) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3)) (fma.f64 x x (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (fma.f64 (log.f64 y) (+.f64 y 1/2) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (-.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2)) (fma.f64 (log.f64 y) (+.f64 y 1/2) x))
(pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 1)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 3)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3) 1/3)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2)
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))) 3))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(fma.f64 x 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(fma.f64 1 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)

eval130.0ms (1.3%)

Compiler

Compiled 7921 to 4448 computations (43.8% saved)

prune102.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New35417371
Fresh000
Picked202
Done000
Total35617373
Accurracy
100.0%
Counts
373 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
▶98.0%
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
99.8%
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
▶99.9%
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
43.2%
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) y) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
▶76.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
76.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 -1/2 y) (fma.f64 y y -1/4)))) y) z)
76.0%
(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) (log.f64 y))) y) z)
60.8%
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
22.7%
(-.f64 (+.f64 (log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2)))) y) z)
▶70.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
99.2%
(+.f64 x (-.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) z))
91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
▶60.3%
(+.f64 x (neg.f64 z))
31.8%
x
70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
▶98.0%
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
99.8%
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
▶99.9%
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
43.2%
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) y) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
▶76.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
76.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 -1/2 y) (fma.f64 y y -1/4)))) y) z)
76.0%
(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) (log.f64 y))) y) z)
60.8%
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
22.7%
(-.f64 (+.f64 (log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2)))) y) z)
▶70.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
99.2%
(+.f64 x (-.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) z))
91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
▶60.3%
(+.f64 x (neg.f64 z))
31.8%
x
Compiler

Compiled 1052 to 714 computations (32.1% saved)

localize378.0ms (3.8%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
99.7%
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
✓99.2%
(cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))
✓98.9%
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
✓100.0%
(-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2)))
✓99.8%
(*.f64 (fma.f64 y y -1/4) (log.f64 y))
✓99.8%
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
✓76.0%
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
✓99.8%
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
✓99.7%
(*.f64 (log.f64 y) (+.f64 y 1/2))
✓100.0%
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
✓99.6%
(*.f64 (-.f64 1 (log.f64 y)) y)
Compiler

Compiled 252 to 134 computations (46.8% saved)

series73.0ms (0.7%)

Counts
10 → 152
Calls

54 calls:

TimeVariablePointExpression
30.0ms
y
@0
(*.f64 (-.f64 1 (log.f64 y)) y)
11.0ms
y
@-inf
(*.f64 (-.f64 1 (log.f64 y)) y)
5.0ms
y
@inf
(*.f64 (-.f64 1 (log.f64 y)) y)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
4.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
844×add-sqr-sqrt
822×pow1
820×*-un-lft-identity
790×add-exp-log
788×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034294
1816294
Stop Event
1×node limit
Counts
10 → 188
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
(*.f64 (fma.f64 y y -1/4) (log.f64 y))
(-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2)))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
(cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y))))) 1)
(pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1)
(log.f64 (exp.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 y (-.f64 1 (log.f64 y)))) (*.f64 y (-.f64 1 (log.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(exp.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (log.f64 y))) (-.f64 x (*.f64 (log.f64 y) 1/2)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (neg.f64 (*.f64 (log.f64 y) 1/2)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 x (*.f64 (log.f64 y) 1/2))) (fma.f64 -1/2 (log.f64 y) (*.f64 (log.f64 y) 1/2)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 x (*.f64 (log.f64 y) 1/2))) (fma.f64 (neg.f64 (log.f64 y)) 1/2 (*.f64 (log.f64 y) 1/2)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (-.f64 x (*.f64 (log.f64 y) 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 y) 1/2))) (sqrt.f64 (*.f64 (log.f64 y) 1/2)) (*.f64 (log.f64 y) 1/2)))
(+.f64 (fma.f64 1 (fma.f64 y (-.f64 1 (log.f64 y)) x) (neg.f64 (*.f64 (*.f64 (log.f64 y) 1/2) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 y) 1/2)) 1 (*.f64 (*.f64 (log.f64 y) 1/2) 1)))
(+.f64 (fma.f64 1 (fma.f64 y (-.f64 1 (log.f64 y)) x) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x)) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x))) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x)) (neg.f64 (*.f64 (*.f64 (log.f64 y) 1/2) 1))) (fma.f64 (neg.f64 (*.f64 (log.f64 y) 1/2)) 1 (*.f64 (*.f64 (log.f64 y) 1/2) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x)) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x))) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) 1/2)) (cbrt.f64 (*.f64 (log.f64 y) 1/2))))))
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(cbrt.f64 (*.f64 (*.f64 (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))) (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))) (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(exp.f64 (log.f64 (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(fma.f64 1 y (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(fma.f64 1 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))) y)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)))) 1)
(pow.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (*.f64 (log.f64 y) (fma.f64 y y -1/4))) (*.f64 (log.f64 y) (fma.f64 y y -1/4))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4))))
(exp.f64 (log.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4))))
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(*.f64 (sqrt.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))) (sqrt.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))) 3)) (fma.f64 x x (fma.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))) (*.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))) (+.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(pow.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))) 1)
(log.f64 (exp.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))) (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))) (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(exp.f64 (log.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))))
(fma.f64 1 x (neg.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) 1)
(*.f64 1 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (sqrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 3/2))
(/.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 3) (pow.f64 x 3)) (fma.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (*.f64 x x)) (-.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))
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(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
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(fma.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))) 1)
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(pow.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 1)
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(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))

simplify169.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1268×associate-*r*
1194×fma-def
1162×associate-*l*
762×distribute-lft-in
760×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077621436
1233017390
Stop Event
1×node limit
Counts
340 → 379
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (neg.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y)))))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) 1)
(*.f64 1 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(*.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (sqrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 3/2) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 3/2))
(/.f64 (+.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) 3) (pow.f64 x 3)) (fma.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (*.f64 x x)) (-.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x))
(log.f64 (exp.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(fma.f64 1 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(fma.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) x)
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (sqrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(pow.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 1)
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
Outputs
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2))
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2))
(-.f64 (+.f64 (*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 1/2 (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
x
x
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x) (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x) (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2))
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(pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3)
(cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(cbrt.f64 (-.f64 (fma.f64 (log.f64 y) -1/2 x) z))
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(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))
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(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) x)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))) 1)
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(*.f64 1 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))) (cbrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))) (sqrt.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(pow.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)) 1/3)
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))) 1)
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))))
(cbrt.f64 (+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)))
(cbrt.f64 (+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))))

eval366.0ms (3.7%)

Compiler

Compiled 17800 to 11060 computations (37.9% saved)

prune422.0ms (4.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New47112483
Fresh6612
Picked505
Done000
Total48218500
Accurracy
100.0%
Counts
500 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
70.8%
(fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
36.2%
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
▶67.7%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
49.2%
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
▶49.2%
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
67.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
67.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y))) (+.f64 y -1/2))) y) z)
▶60.8%
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
62.4%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
40.7%
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
▶60.3%
(-.f64 x z)
▶91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
69.7%
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
24.8%
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
31.8%
x
70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
70.8%
(fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
36.2%
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
▶67.7%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
49.2%
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
▶49.2%
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
67.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
67.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y))) (+.f64 y -1/2))) y) z)
▶60.8%
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
62.4%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
40.7%
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
▶60.3%
(-.f64 x z)
▶91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
69.7%
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
24.8%
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
31.8%
x
Compiler

Compiled 1092 to 746 computations (31.7% saved)

localize299.0ms (3%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (log.f64 y) (+.f64 y 1/2))
✓99.7%
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
✓99.2%
(cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z))
✓98.9%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
✓100.0%
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
✓99.7%
(*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))
✓99.7%
(-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y)))
✓76.0%
(/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2))
✓99.6%
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)
✓99.5%
(*.f64 (log.f64 y) (neg.f64 y))
✓99.6%
(*.f64 y (-.f64 1 (log.f64 y)))
Compiler

Compiled 203 to 106 computations (47.8% saved)

series106.0ms (1.1%)

Counts
10 → 124
Calls

39 calls:

TimeVariablePointExpression
89.0ms
y
@-inf
(*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))
4.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
3.0ms
z
@0
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
1.0ms
y
@-inf
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
1.0ms
y
@0
(cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z))

rewrite342.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
664×add-sqr-sqrt
642×pow1
640×*-un-lft-identity
622×add-exp-log
620×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028294
1655190
Stop Event
1×node limit
Counts
10 → 348
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)
(/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2))
(-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y)))
(*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
(cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y))))) 1)
(pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 2))
(log.f64 (pow.f64 (/.f64 (E.f64) y) y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (E.f64) y) y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 (log.f64 y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(exp.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (E.f64) y) y) 1))
(-.f64 0 (*.f64 y (log.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(neg.f64 (*.f64 y (log.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (*.f64 y (log.f64 y)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) y))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (fma.f64 y (log.f64 y) y)) (/.f64 (*.f64 y y) (fma.f64 y (log.f64 y) y)))
(*.f64 1 (fma.f64 y (log.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) y)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) y)) (sqrt.f64 (fma.f64 y (log.f64 y) y)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (log.f64 y)) y)))))
(*.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2) (/.f64 1 (fma.f64 y (log.f64 y) y)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (log.f64 y)) y))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3))))
(/.f64 1 (/.f64 (fma.f64 y (log.f64 y) y) (pow.f64 (fma.f64 y (log.f64 y) y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (log.f64 y)) y))))
(/.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2) (fma.f64 y (log.f64 y) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (log.f64 y)) y)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2)) (neg.f64 (fma.f64 y (log.f64 y) y)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (*.f64 y (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (+.f64 (*.f64 y y) (*.f64 (*.f64 y (log.f64 y)) y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (log.f64 y) y))
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) y)) 2)
(pow.f64 (fma.f64 y (log.f64 y) y) 1)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2))
(log.f64 (*.f64 (exp.f64 y) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) y))))
(log.f64 (/.f64 (pow.f64 y y) (exp.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) y)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) y)))
(fma.f64 y (log.f64 y) y)
(fma.f64 1 y (*.f64 y (log.f64 y)))
(fma.f64 1 (*.f64 y (log.f64 y)) y)
(fma.f64 (log.f64 y) y y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) y)
(+.f64 y 1/2)
(+.f64 1/2 y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 y 1/2))) 1)
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(+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (fma.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y) (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 (fma.f64 1 y (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(*.f64 1 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2) (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3)) (/.f64 1 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (/.f64 1 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (-.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 1 (/.f64 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))))
(/.f64 1 (/.f64 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3)) (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))) (neg.f64 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (*.f64 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))) (*.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))) (*.f64 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (-.f64 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))) (-.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))) (-.f64 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))))
(pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1)
(pow.f64 (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 3)
(pow.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2))
(log.f64 (/.f64 (exp.f64 y) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))))
(cbrt.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(exp.f64 (log.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(fma.f64 1 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 1 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))

simplify319.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1244×fma-def
1198×associate-*l*
540×distribute-rgt-in
512×distribute-lft-in
410×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084923774
1251419914
Stop Event
1×node limit
Counts
472 → 439
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
1/2
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) z)
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) z)
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y)))) z)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(-.f64 y (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 (*.f64 -1 z) y) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
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(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(*.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1/6) (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1/3) (pow.f64 (sqrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 z z))) (cbrt.f64 (+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) z)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 z 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (fma.f64 z z (*.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) z)))))
(pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1/3)
(pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) 3)
(pow.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 y (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))))
(+.f64 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (fma.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y) (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(+.f64 (fma.f64 1 y (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 1 y (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1))) (fma.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1 (*.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))
(+.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (*.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)))))
(*.f64 1 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2) (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3)) (/.f64 1 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (/.f64 1 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (-.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 1 (/.f64 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))))
(/.f64 1 (/.f64 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))
(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3)) (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))) (neg.f64 (fma.f64 y y (+.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) (*.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))) (neg.f64 (+.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) (*.f64 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))) (*.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))) (*.f64 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (-.f64 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))) (-.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))) (-.f64 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y))))
(pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1)
(pow.f64 (cbrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 3)
(pow.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2)
(sqrt.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2))
(log.f64 (/.f64 (exp.f64 y) (pow.f64 y (+.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))))))
(cbrt.f64 (pow.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3))
(expm1.f64 (log1p.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(exp.f64 (log.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (log.f64 (pow.f64 y (+.f64 y 1/2))))))
(fma.f64 1 y (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 1 y (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 1 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
Outputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
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(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (+.f64 y 1/2)) (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

eval441.0ms (4.4%)

Compiler

Compiled 13088 to 8502 computations (35% saved)

prune235.0ms (2.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New4559464
Fresh4913
Picked325
Done000
Total46220482
Accurracy
100.0%
Counts
482 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
▶36.2%
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
59.7%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)) 3)
68.8%
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
49.2%
(-.f64 (-.f64 y (/.f64 1 (/.f64 (+.f64 y -1/2) (*.f64 (fma.f64 y y -1/4) (log.f64 y))))) z)
68.8%
(-.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) -1) (log.f64 y))) z)
68.6%
(-.f64 (-.f64 y (*.f64 (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2) (log.f64 y))) z)
▶49.2%
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
60.8%
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
▶68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
67.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
62.4%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
38.6%
(-.f64 (*.f64 (log.f64 y) -1/2) z)
40.7%
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
✓60.3%
(-.f64 x z)
✓91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
69.7%
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
▶30.1%
(neg.f64 z)
31.8%
x
▶70.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
▶36.2%
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
59.7%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)) 3)
68.8%
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
49.2%
(-.f64 (-.f64 y (/.f64 1 (/.f64 (+.f64 y -1/2) (*.f64 (fma.f64 y y -1/4) (log.f64 y))))) z)
68.8%
(-.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) -1) (log.f64 y))) z)
68.6%
(-.f64 (-.f64 y (*.f64 (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2) (log.f64 y))) z)
▶49.2%
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
60.8%
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
▶68.6%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
67.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
62.4%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
38.6%
(-.f64 (*.f64 (log.f64 y) -1/2) z)
40.7%
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
✓60.3%
(-.f64 x z)
✓91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
69.7%
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
▶30.1%
(neg.f64 z)
31.8%
x
Compiler

Compiled 1098 to 776 computations (29.3% saved)

localize477.0ms (4.8%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
✓99.5%
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
✓96.6%
(pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3)
✓100.0%
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
✓99.7%
(*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))
✓99.7%
(-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y)))
✓76.0%
(/.f64 (*.f64 y y) (+.f64 y -1/2))
✓100.0%
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
✓100.0%
(-.f64 x (*.f64 1/2 (log.f64 y)))
✓99.8%
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
Compiler

Compiled 206 to 118 computations (42.7% saved)

series103.0ms (1%)

Counts
10 → 187
Calls

60 calls:

TimeVariablePointExpression
77.0ms
y
@0
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
3.0ms
z
@0
(pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3)
2.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
2.0ms
y
@0
(pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3)
2.0ms
z
@0
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)

rewrite166.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
736×add-sqr-sqrt
716×pow1
712×*-un-lft-identity
696×add-exp-log
694×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032254
1781238
Stop Event
1×node limit
Counts
10 → 277
Calls
Call 1
Inputs
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(/.f64 (*.f64 y y) (+.f64 y -1/2))
(-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
(pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3)
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
Outputs
(+.f64 (*.f64 (-.f64 -1/2 y) (log.f64 y)) (+.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)))) 1)
(*.f64 1 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))) 2) (cbrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))) (sqrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))) 2)
(log.f64 (exp.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(exp.f64 (log.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(+.f64 x (neg.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (fma.f64 (neg.f64 (log.f64 y)) 1/2 (log.f64 (sqrt.f64 y))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))) (log.f64 (sqrt.f64 y))))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (log.f64 (sqrt.f64 y)) 1))) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) 1 (*.f64 (log.f64 (sqrt.f64 y)) 1)))
(+.f64 (fma.f64 1 x (neg.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (log.f64 (sqrt.f64 y)) 1))) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) 1 (*.f64 (log.f64 (sqrt.f64 y)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2))))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (log.f64 (sqrt.f64 y)) 1))) (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) 1 (*.f64 (log.f64 (sqrt.f64 y)) 1)))
(+.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2))))
(*.f64 1 (fma.f64 -1/2 (log.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/2 (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (fma.f64 x x (+.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2) (*.f64 x (log.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (*.f64 x x)) (fma.f64 -1/2 (log.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (+.f64 x (log.f64 (sqrt.f64 y))))
(pow.f64 (fma.f64 -1/2 (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2)
(log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(fma.f64 1 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 1 x (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (*.f64 -1/2 (log.f64 y)) (-.f64 x z))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 z))
(+.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2))
(*.f64 1 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (fma.f64 z z (*.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z)))))
(cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z)) 3))
(expm1.f64 (log1p.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z))))
(exp.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z))) 1))
(log1p.f64 (expm1.f64 (-.f64 y (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z))))
(fma.f64 1 y (neg.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z)))
(fma.f64 1 (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)))) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y))))) 2) (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y))))) (neg.f64 z))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (fma.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) z)))
(fma.f64 (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y))))) (sqrt.f64 (-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y))))) (neg.f64 z))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(*.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 1/3))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (*.f64 z z))) (cbrt.f64 (+.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) (pow.f64 z 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (fma.f64 z z (*.f64 (fma.f64 -1/2 (log.f64 y) x) z)))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))))
(cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(+.f64 (*.f64 -1/2 (log.f64 y)) (-.f64 x z))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 z))
(+.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(-.f64 x (fma.f64 (log.f64 y) 1/2 z))
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2))
(*.f64 1 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (fma.f64 z z (*.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (*.f64 z z)) (+.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(log.f64 (*.f64 (pow.f64 y -1/2) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(fma.f64 -1/2 (log.f64 y) (-.f64 x z))
(fma.f64 (log.f64 y) -1/2 (-.f64 x z))
(fma.f64 1 x (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) (-.f64 x z))
(fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(-.f64 x (log.f64 (sqrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 y) x))) 1)
(*.f64 1 (fma.f64 -1/2 (log.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/2 (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (fma.f64 x x (+.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2) (*.f64 x (log.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (*.f64 x x)) (fma.f64 -1/2 (log.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (+.f64 x (log.f64 (sqrt.f64 y))))
(pow.f64 (fma.f64 -1/2 (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2)
(log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(fma.f64 1 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 1 x (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))

simplify258.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1594×fma-neg
1184×fma-def
884×log-prod
722×associate-*r*
682×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073517670
1202616192
2702116152
Stop Event
1×node limit
Counts
464 → 398
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
x
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
x
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) x)
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
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(/.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) (pow.f64 z 3))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (fma.f64 z z (*.f64 (fma.f64 -1/2 (log.f64 y) x) z)))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))))
(cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(+.f64 (*.f64 -1/2 (log.f64 y)) (-.f64 x z))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 z))
(+.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 z 1))) (fma.f64 (neg.f64 z) 1 (*.f64 z 1)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)))) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2))))
(-.f64 x (fma.f64 (log.f64 y) 1/2 z))
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2))
(*.f64 1 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 2) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) (sqrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 1/6) 3))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (fma.f64 z z (*.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2) (*.f64 z z)) (+.f64 (fma.f64 -1/2 (log.f64 y) x) z))
(log.f64 (*.f64 (pow.f64 y -1/2) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(exp.f64 (log.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 -1/2 (log.f64 y) x) z)))
(fma.f64 -1/2 (log.f64 y) (-.f64 x z))
(fma.f64 (log.f64 y) -1/2 (-.f64 x z))
(fma.f64 1 x (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) (-.f64 x z))
(fma.f64 1 (fma.f64 -1/2 (log.f64 y) x) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (-.f64 x z))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (neg.f64 z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 (log.f64 y) 1/2 z)))
(-.f64 x (log.f64 (sqrt.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 y) x))) 1)
(*.f64 1 (fma.f64 -1/2 (log.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) -1/8) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 -1/2 (log.f64 y)) x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (fma.f64 x x (+.f64 (pow.f64 (log.f64 (sqrt.f64 y)) 2) (*.f64 x (log.f64 (sqrt.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (log.f64 y)) 2) (*.f64 x x)) (fma.f64 -1/2 (log.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (+.f64 x (log.f64 (sqrt.f64 y))))
(pow.f64 (fma.f64 -1/2 (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 y) x)) 2)
(log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 y) x)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(fma.f64 1 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 1 x (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
Outputs
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(neg.f64 (*.f64 y (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) -1)))
(*.f64 (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (neg.f64 y))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 -1 (*.f64 y (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) -1)) x))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (neg.f64 y) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 -1 (*.f64 y (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) -1)) x))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (neg.f64 y) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 -1 (*.f64 y (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) -1)) x))
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (neg.f64 y) (+.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x)
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x)
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x)
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x)
(fma.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z))
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(fma.f64 1 x (neg.f64 (log.f64 (sqrt.f64 y))))
(-.f64 x (log.f64 (sqrt.f64 y)))
(fma.f64 1 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 y))) 2) (cbrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(-.f64 x (log.f64 (sqrt.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 y))) (sqrt.f64 (*.f64 -1/2 (log.f64 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (sqrt.f64 y))))
(-.f64 x (log.f64 (sqrt.f64 y)))

eval237.0ms (2.4%)

Compiler

Compiled 10608 to 6846 computations (35.5% saved)

prune119.0ms (1.2%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New3935398
Fresh01313
Picked415
Done022
Total39721418
Accurracy
100.0%
Counts
418 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.7%
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
59.7%
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)) 3)
68.8%
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
49.2%
(-.f64 (-.f64 y (/.f64 1 (/.f64 (+.f64 y -1/2) (*.f64 (fma.f64 y y -1/4) (log.f64 y))))) z)
68.8%
(-.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) -1) (log.f64 y))) z)
68.6%
(-.f64 (-.f64 y (*.f64 (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2) (log.f64 y))) z)
60.8%
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
55.5%
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
67.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
62.4%
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
38.6%
(-.f64 (*.f64 (log.f64 y) -1/2) z)
28.4%
(-.f64 (log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y))) z)
40.7%
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
23.0%
(-.f64 y (*.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 y y) (+.f64 -1/2 y)) (/.f64 1/4 (+.f64 -1/2 y)))))
40.3%
(-.f64 x (*.f64 1/2 (log.f64 y)))
✓60.3%
(-.f64 x z)
✓91.5%
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
69.7%
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
32.5%
(*.f64 y (-.f64 1 (log.f64 y)))
✓30.1%
(neg.f64 z)
31.8%
x
Compiler

Compiled 842 to 497 computations (41% saved)

regimes164.0ms (1.7%)

Counts
45 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
(-.f64 y (*.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 y y) (+.f64 -1/2 y)) (/.f64 1/4 (+.f64 -1/2 y)))))
(-.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y))) (+.f64 y -1/2))) y) z)
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) -1) (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 -1/2 y)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 -1/2 y) (fma.f64 y y -1/4)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
(-.f64 (-.f64 y (/.f64 1 (/.f64 (+.f64 y -1/2) (*.f64 (fma.f64 y y -1/4) (log.f64 y))))) z)
(-.f64 (log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y))) z)
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)) 3)
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(pow.f64 (pow.f64 (-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z) 1/3) 3)
(-.f64 (+.f64 (log.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2)))) y) z)
(-.f64 (-.f64 y (*.f64 (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2) (log.f64 y))) z)
(pow.f64 (cbrt.f64 (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)) 3)
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) y) z)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) 2) y) z)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z) x)) 3)
(fma.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
(*.f64 (*.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(+.f64 x (-.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))) z))
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
Calls

5 calls:

48.0ms
x
40.0ms
z
26.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
20.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
20.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 597 to 323 computations (45.9% saved)

regimes99.0ms (1%)

Counts
26 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
(-.f64 y (*.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 y y) (+.f64 -1/2 y)) (/.f64 1/4 (+.f64 -1/2 y)))))
(-.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y))) (+.f64 y -1/2))) y) z)
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 1 (+.f64 y 1/2)) -1) (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (-.f64 y 1/2)) (log.f64 y))) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))) z)
Outputs
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
Calls

5 calls:

39.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
14.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
14.0ms
x
13.0ms
y
12.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 297 to 158 computations (46.8% saved)

regimes78.0ms (0.8%)

Counts
22 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 y (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
(-.f64 y (*.f64 (log.f64 y) (-.f64 (/.f64 (*.f64 y y) (+.f64 -1/2 y)) (/.f64 1/4 (+.f64 -1/2 y)))))
(-.f64 (+.f64 (-.f64 x (/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y))) (+.f64 y -1/2))) y) z)
(-.f64 (-.f64 y (*.f64 (-.f64 (/.f64 (*.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2))) (log.f64 y))) z)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 y x))
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Calls

5 calls:

20.0ms
y
18.0ms
z
12.0ms
x
12.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
11.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
99.8%1(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 242 to 128 computations (47.1% saved)

regimes85.0ms (0.9%)

Counts
14 → 2
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
Calls

3 calls:

45.0ms
z
22.0ms
x
15.0ms
y
Results
AccuracySegmentsBranch
93.2%3x
99.4%2y
99.8%3z
Compiler

Compiled 104 to 51 computations (51% saved)

regimes124.0ms (1.3%)

Counts
12 → 4
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
Calls

3 calls:

56.0ms
x
44.0ms
y
21.0ms
z
Results
AccuracySegmentsBranch
85.9%5x
84.2%3z
92.8%4y
Compiler

Compiled 84 to 42 computations (50% saved)

regimes40.0ms (0.4%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
Outputs
(-.f64 x z)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 x z)
Calls

2 calls:

21.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
84.2%3z
84.8%4y
Compiler

Compiled 55 to 29 computations (47.3% saved)

regimes122.0ms (1.2%)

Counts
8 → 4
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
Outputs
(-.f64 x z)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 x z)
(*.f64 y (-.f64 1 (log.f64 y)))
Calls

3 calls:

63.0ms
x
37.0ms
z
21.0ms
y
Results
AccuracySegmentsBranch
74.5%5x
78.1%4y
79.7%7z
Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes12.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(neg.f64 z)
(-.f64 x z)
(+.f64 x (neg.f64 z))
Outputs
(-.f64 x z)
Calls

3 calls:

4.0ms
x
4.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
60.3%1x
60.3%1z
60.3%1y
Compiler

Compiled 25 to 15 computations (40% saved)

regimes35.0ms (0.4%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(neg.f64 z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

3 calls:

17.0ms
y
10.0ms
x
8.0ms
z
Results
AccuracySegmentsBranch
51.8%3z
42.0%6y
50.3%3x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

10.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
31.8%1y
31.8%1x
31.8%1z
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.5449033077774988e-8
1.1076998761981485e-6
Results
13.0ms112×body256valid
Compiler

Compiled 203 to 148 computations (27.1% saved)

bsearch85.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.9659680084844877e+115
2.355648525424031e+116
4.0ms
2.5038204358330417e+85
2.7433449223219866e+85
69.0ms
5564.525667707326
116898.51936055129
Results
82.0ms240×body256valid
Compiler

Compiled 381 to 270 computations (29.1% saved)

bsearch24.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
3.0722750104338624e+94
3.4476152355546076e+94
20.0ms
-4.246550921572964e+84
-2.195771500023405e+81
Results
22.0ms160×body256valid
Compiler

Compiled 211 to 145 computations (31.3% saved)

bsearch54.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
7.207288060597028e+164
1.3914564986485297e+168
8.0ms
6.187444430982485e+142
1.145241887306047e+143
12.0ms
2.355648525424031e+116
1.4848445279828758e+117
Results
50.0ms288×body256valid
Compiler

Compiled 327 to 249 computations (23.9% saved)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
3.4476152355546076e+94
1.9089861164665242e+97
18.0ms
-2.195771500023405e+81
-3.424453983003155e+78
Results
34.0ms256×body256valid
Compiler

Compiled 197 to 159 computations (19.3% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
52×+-commutative
40×sub-neg
24×*-commutative
16×neg-mul-1
16×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072432
1128416
2177416
3200408
4209408
5211408
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 y 2597301565578305/2361183241434822606848) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 115000) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 26000000000000001070572710676603077548696703912183576786354777683453360986782275993600) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (if (<=.f64 y 29000000000000000451223067754538447703777840510710781567723346832494179653777915394684576307536375982609982145167360) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))))
(if (<=.f64 z -1319999999999999938216998129701707898522075362226295611947235816062089177651856015360) (-.f64 x z) (if (<=.f64 z 30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (-.f64 x z)))
(if (<=.f64 y 284999999999999991310929248199978715681424035416774316391368030063513009077331736970802840929532983246639727909011456) (-.f64 x z) (if (<=.f64 y 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312) (*.f64 y (-.f64 1 (log.f64 y))) (if (<=.f64 y 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296) (-.f64 x z) (*.f64 y (-.f64 1 (log.f64 y))))))
(-.f64 x z)
(if (<=.f64 z -1499999999999999987235111512055860810821282557259208096610092736733707476955824128) (neg.f64 z) (if (<=.f64 z 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736) x (neg.f64 z)))
x
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 (+.f64 x (*.f64 y (-.f64 1 (log.f64 y)))) (*.f64 (log.f64 y) 1/2)) z)
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
(if (<=.f64 y 2597301565578305/2361183241434822606848) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 2597301565578305/2361183241434822606848) (-.f64 (-.f64 x (*.f64 (log.f64 y) 1/2)) z) (+.f64 x (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z)))
(if (<=.f64 y 115000) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 26000000000000001070572710676603077548696703912183576786354777683453360986782275993600) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (if (<=.f64 y 29000000000000000451223067754538447703777840510710781567723346832494179653777915394684576307536375982609982145167360) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))))
(if (<=.f64 y 115000) (-.f64 (-.f64 x (*.f64 (log.f64 y) 1/2)) z) (if (or (<=.f64 y 26000000000000001070572710676603077548696703912183576786354777683453360986782275993600) (not (<=.f64 y 29000000000000000451223067754538447703777840510710781567723346832494179653777915394684576307536375982609982145167360))) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (-.f64 (-.f64 x (*.f64 (log.f64 y) 1/2)) z)))
(if (or (<=.f64 y 115000) (not (or (<=.f64 y 26000000000000001070572710676603077548696703912183576786354777683453360986782275993600) (not (<=.f64 y 29000000000000000451223067754538447703777840510710781567723346832494179653777915394684576307536375982609982145167360))))) (-.f64 (-.f64 x (*.f64 (log.f64 y) 1/2)) z) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))
(if (or (<=.f64 y 115000) (and (not (<=.f64 y 26000000000000001070572710676603077548696703912183576786354777683453360986782275993600)) (<=.f64 y 29000000000000000451223067754538447703777840510710781567723346832494179653777915394684576307536375982609982145167360))) (-.f64 (-.f64 x (*.f64 (log.f64 y) 1/2)) z) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))))
(if (<=.f64 z -1319999999999999938216998129701707898522075362226295611947235816062089177651856015360) (-.f64 x z) (if (<=.f64 z 30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (-.f64 (+.f64 y x) (*.f64 y (log.f64 y))) (-.f64 x z)))
(if (<=.f64 y 284999999999999991310929248199978715681424035416774316391368030063513009077331736970802840929532983246639727909011456) (-.f64 x z) (if (<=.f64 y 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312) (*.f64 y (-.f64 1 (log.f64 y))) (if (<=.f64 y 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296) (-.f64 x z) (*.f64 y (-.f64 1 (log.f64 y))))))
(if (<=.f64 y 284999999999999991310929248199978715681424035416774316391368030063513009077331736970802840929532983246639727909011456) (-.f64 x z) (if (or (<=.f64 y 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312) (not (<=.f64 y 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296))) (*.f64 y (-.f64 1 (log.f64 y))) (-.f64 x z)))
(if (or (<=.f64 y 284999999999999991310929248199978715681424035416774316391368030063513009077331736970802840929532983246639727909011456) (and (not (<=.f64 y 64999999999999997211156706248548630140290602585296055566342293988852034216356992506585752387755378118447478455981516767752804728849774319501312)) (<=.f64 y 1799999999999999900916573410703819619349967540222951562022563561016556379907363911112662536741037489695593761467472697276379658642317096184128290239627609136793911296))) (-.f64 x z) (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 x z)
(if (<=.f64 z -1499999999999999987235111512055860810821282557259208096610092736733707476955824128) (neg.f64 z) (if (<=.f64 z 1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736) x (neg.f64 z)))
x
Compiler

Compiled 180 to 117 computations (35% saved)

soundness1.5s (15.5%)

Rules
1594×fma-neg
1394×fma-neg
1268×associate-*r*
1268×associate-*r*
1244×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01335
12735
28031
331531
497231
5288431
6457231
7502331
8516631
9519331
10521031
11552031
12638831
13799331
018144
1420140
26299140
077621436
1233017390
084923774
1251419914
057014595
1148712635
2598412599
073517670
1202616192
2702116152
057014595
1148712635
2598412599
077621436
1233017390
057014595
1148712635
2598412599
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 654 to 370 computations (43.4% saved)

end105.0ms (1.1%)

Compiler

Compiled 366 to 198 computations (45.9% saved)

Profiling

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