System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

Time bar (total: 4.1s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample2.2s (54.3%)

Results
685.0ms1602×body2048valid
463.0ms2587×body256valid
407.0ms2012×body256infinite
293.0ms994×body1024valid
202.0ms510×body4096valid
127.0ms551×body512valid
Bogosity

preprocess127.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
894×fma-def
142×unsub-neg
130×associate-*r*
98×distribute-lft-in
78×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01980
14272
210072
329172
464972
5105372
6120372
7121472
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(*.f64 1/2 (-.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 1/2 (-.f64 (*.f64 y y) x))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (-.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 1/2 (fma.f64 x x y))
(*.f64 1/2 (-.f64 (*.f64 y y) x))
Symmetry

(abs x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify44.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
630×fma-def
76×distribute-lft-in
74×unsub-neg
68×distribute-rgt-in
56×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11419
22519
34919
48419
511619
620719
734519
855819
972519
1082419
1184019
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))

eval1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
▶100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize124.0ms (3.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
✓100.0%
(-.f64 (*.f64 x x) y)
Compiler

Compiled 21 to 8 computations (61.9% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(*.f64 1/2 (-.f64 (*.f64 x x) y))
0.0ms
x
@inf
(-.f64 (*.f64 x x) y)
0.0ms
x
@0
(-.f64 (*.f64 x x) y)
0.0ms
y
@inf
(-.f64 (*.f64 x x) y)
0.0ms
x
@0
(*.f64 1/2 (-.f64 (*.f64 x x) y))

rewrite111.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1760×pow1
1634×add-exp-log
1634×log1p-expm1-u
1634×expm1-log1p-u
1600×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117332
2223632
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) y)
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Outputs
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (-.f64 (*.f64 x x) y) 1)
(*.f64 1 (-.f64 (*.f64 x x) y))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) (-.f64 (pow.f64 x 6) (pow.f64 y 3))))
(/.f64 1 (/.f64 (fma.f64 x x y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 x x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 x x) (neg.f64 y)))
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) y)))
(fma.f64 x x (neg.f64 y))
(fma.f64 1 (*.f64 x x) (neg.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 y))
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (neg.f64 y) 1/2))
(-.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 1)
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 4) (*.f64 y y))) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/2) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) 1/2) (fma.f64 x x y))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x x) y)) 1/2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))

simplify77.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1546×div-sub
1056×fma-def
916×fma-neg
626×log-prod
574×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01422012
13481862
212621862
351581862
Stop Event
1×node limit
Counts
100 → 75
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(*.f64 -1 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (-.f64 (*.f64 x x) y) 1)
(*.f64 1 (-.f64 (*.f64 x x) y))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) y)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) (-.f64 (pow.f64 x 6) (pow.f64 y 3))))
(/.f64 1 (/.f64 (fma.f64 x x y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 x x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 x x) (neg.f64 y)))
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) y)))
(fma.f64 x x (neg.f64 y))
(fma.f64 1 (*.f64 x x) (neg.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 y))
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (neg.f64 y) 1/2))
(-.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 1)
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 4) (*.f64 y y))) (fma.f64 x x y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/2) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) 1/2) (fma.f64 x x y))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x x) y)) 1/2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (pow.f64 x 2) (*.f64 -1 y))
(-.f64 (*.f64 x x) y)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) 1))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 y) 1 y))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(-.f64 (*.f64 x x) y)
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 (*.f64 x x) y)
(+.f64 (neg.f64 y) (*.f64 x x))
(-.f64 (*.f64 x x) y)
(*.f64 (-.f64 (*.f64 x x) y) 1)
(-.f64 (*.f64 x x) y)
(*.f64 1 (-.f64 (*.f64 x x) y))
(-.f64 (*.f64 x x) y)
(*.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2))
(-.f64 (*.f64 x x) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) (-.f64 (pow.f64 x 6) (pow.f64 y 3))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4)))
(/.f64 1 (/.f64 (fma.f64 x x y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 x x) (neg.f64 y)))))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(-.f64 (*.f64 x x) y)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 3)
(-.f64 (*.f64 x x) y)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3) 1/3)
(-.f64 (*.f64 x x) y)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) 2)
(-.f64 (*.f64 x x) y)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2))
(-.f64 (*.f64 x x) y)
(log.f64 (exp.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3))
(-.f64 (*.f64 x x) y)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) y)))
(-.f64 (*.f64 x x) y)
(fma.f64 x x (neg.f64 y))
(-.f64 (*.f64 x x) y)
(fma.f64 1 (*.f64 x x) (neg.f64 y))
(-.f64 (*.f64 x x) y)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 y))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))) y)
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (neg.f64 y)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (neg.f64 y) 1/2))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(-.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 1)
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4))) 1/2)
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4))))
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 x 4) (*.f64 y y))) (fma.f64 x x y))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 (fma.f64 x x y) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y)) 1/2)
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1/2 (fma.f64 x x y)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) 1/2) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4))) 1/2)
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (fma.f64 y (fma.f64 x x y) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) 1/2) (fma.f64 x x y))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 (fma.f64 x x y) 1/2))
(*.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y)) 1/2)
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1/2 (fma.f64 x x y)))
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y)))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 1)
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 3)
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3) 1/3)
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)) 2)
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2) 1/4))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 x x) y)) 1/2))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2) 3))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(exp.f64 (log.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (*.f64 x x) y) 1/2)))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))

eval17.0ms (0.4%)

Compiler

Compiled 890 to 442 computations (50.3% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New72375
Fresh000
Picked011
Done000
Total72476
Accurracy
100.0%
Counts
76 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
(*.f64 y -1/2)
▶52.2%
(*.f64 x (*.f64 x 1/2))
▶100.0%
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
▶49.4%
(*.f64 y -1/2)
▶52.2%
(*.f64 x (*.f64 x 1/2))
▶100.0%
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Compiler

Compiled 60 to 42 computations (30% saved)

localize419.0ms (10.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
Compiler

Compiled 35 to 17 computations (51.4% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
1.0ms
x
@0
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
1.0ms
x
@inf
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
0.0ms
y
@0
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
0.0ms
y
@inf
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

rewrite120.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1658×pow1
1516×add-exp-log
1514×log1p-expm1-u
1514×expm1-log1p-u
1480×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
119915
2232315
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
Outputs
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 y 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (fma.f64 x x y))) 1)
(pow.f64 (*.f64 1/2 (fma.f64 x x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 x x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 x x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x x y))))
(exp.f64 (log.f64 (*.f64 1/2 (fma.f64 x x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (fma.f64 x x y))))

simplify126.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1296×fma-neg
1130×log-prod
1044×fma-def
814×*-commutative
666×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048633
1114633
2353633
32417633
45044633
57776633
Stop Event
1×node limit
Counts
37 → 21
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 y 1/2))
(-.f64 (+.f64 1 (*.f64 1/2 (fma.f64 x x y))) 1)
(pow.f64 (*.f64 1/2 (fma.f64 x x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 x x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 x x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x x y))))
(exp.f64 (log.f64 (*.f64 1/2 (fma.f64 x x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (fma.f64 x x y))))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 1/2 x) x)
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 1/2 x) x)
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 (*.f64 1/2 x) x)
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 y) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 y (*.f64 (*.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 y))
(*.f64 1/2 (fma.f64 x x y))
(+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 y 1/2))
(*.f64 1/2 (fma.f64 x x y))
(-.f64 (+.f64 1 (*.f64 1/2 (fma.f64 x x y))) 1)
(*.f64 1/2 (fma.f64 x x y))
(pow.f64 (*.f64 1/2 (fma.f64 x x y)) 1)
(*.f64 1/2 (fma.f64 x x y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (fma.f64 x x y))) 3)
(*.f64 1/2 (fma.f64 x x y))
(pow.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3) 1/3)
(*.f64 1/2 (fma.f64 x x y))
(pow.f64 (sqrt.f64 (*.f64 1/2 (fma.f64 x x y))) 2)
(*.f64 1/2 (fma.f64 x x y))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x y) 2) 1/4))
(*.f64 1/2 (fma.f64 x x y))
(log.f64 (pow.f64 (exp.f64 1/2) (fma.f64 x x y)))
(*.f64 1/2 (fma.f64 x x y))
(cbrt.f64 (pow.f64 (*.f64 1/2 (fma.f64 x x y)) 3))
(*.f64 1/2 (fma.f64 x x y))
(expm1.f64 (log1p.f64 (*.f64 1/2 (fma.f64 x x y))))
(*.f64 1/2 (fma.f64 x x y))
(exp.f64 (log.f64 (*.f64 1/2 (fma.f64 x x y))))
(*.f64 1/2 (fma.f64 x x y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (fma.f64 x x y))))
(*.f64 1/2 (fma.f64 x x y))

eval6.0ms (0.1%)

Compiler

Compiled 165 to 95 computations (42.4% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New21021
Fresh000
Picked033
Done011
Total21425
Accurracy
100.0%
Counts
25 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(*.f64 y -1/2)
✓52.2%
(*.f64 x (*.f64 x 1/2))
✓100.0%
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓100.0%
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Compiler

Compiled 54 to 36 computations (33.3% saved)

regimes26.0ms (0.7%)

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

5 calls:

8.0ms
(-.f64 (*.f64 x x) y)
6.0ms
x
4.0ms
(*.f64 1/2 (-.f64 (*.f64 x x) y))
4.0ms
y
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 1/2 (-.f64 (*.f64 x x) y))
100.0%1(-.f64 (*.f64 x x) y)
100.0%1(*.f64 x x)
Compiler

Compiled 51 to 32 computations (37.3% saved)

regimes20.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 y -1/2)
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Outputs
(*.f64 1/2 (-.f64 (*.f64 x x) y))
Calls

5 calls:

5.0ms
(*.f64 1/2 (-.f64 (*.f64 x x) y))
4.0ms
y
4.0ms
x
4.0ms
(-.f64 (*.f64 x x) y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 1/2 (-.f64 (*.f64 x x) y))
100.0%1(-.f64 (*.f64 x x) y)
100.0%1(*.f64 x x)
Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes22.0ms (0.5%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 y -1/2)
(*.f64 x (*.f64 x 1/2))
Outputs
(*.f64 y -1/2)
(*.f64 x (*.f64 x 1/2))
Calls

2 calls:

13.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
88.6%2x
66.8%3y
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 y -1/2)
Outputs
(*.f64 y -1/2)
Calls

2 calls:

6.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
49.4%1y
49.4%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch19.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.6468107704849726e-46
3.438365851698783e-46
Results
8.0ms43×body256valid
4.0ms17×body1024valid
3.0ms13×body2048valid
2.0ms7×body512valid
Compiler

Compiled 84 to 65 computations (22.6% saved)

simplify20.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02374
13374
23674
33774
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(if (<=.f64 x 2828210957895823/12855504354071922204335696738729300820177623950262342682411008) (*.f64 y -1/2) (*.f64 x (*.f64 x 1/2)))
(*.f64 y -1/2)
Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(*.f64 1/2 (-.f64 (*.f64 x x) y))
(if (<=.f64 x 2828210957895823/12855504354071922204335696738729300820177623950262342682411008) (*.f64 y -1/2) (*.f64 x (*.f64 x 1/2)))
(if (<=.f64 x 2828210957895823/12855504354071922204335696738729300820177623950262342682411008) (*.f64 y -1/2) (*.f64 x (*.f64 1/2 x)))
(*.f64 y -1/2)
Compiler

Compiled 37 to 26 computations (29.7% saved)

soundness486.0ms (12%)

Rules
1760×pow1
1634×add-exp-log
1634×log1p-expm1-u
1634×expm1-log1p-u
1600×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117332
2223632
01422012
13481862
212621862
351581862
01422012
13481862
212621862
351581862
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 46 to 30 computations (34.8% saved)

end0.0ms (0%)

preprocess57.0ms (1.4%)

Remove

(abs x)

Compiler

Compiled 98 to 64 computations (34.7% saved)

Profiling

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