Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 2.6s)

analyze56.0ms (2.1%)

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 13 to 9 computations (30.8% saved)

sample1.6s (60.2%)

Results
746.0ms4802×body256infinite
712.0ms3454×body256valid
120.0ms1059×body256invalid
Bogosity

preprocess61.0ms (2.3%)

Algorithm
2×egg-herbie
Rules
1636×unswap-sqr
1152×times-frac
1026×fma-def
896×associate-*r*
706×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
15792
213692
330292
454392
5123592
6502592
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (+.f64 z (-.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify91.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1234×fma-def
1016×unswap-sqr
784×associate-*r/
778×associate-/l/
654×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
12023
24423
39223
416023
531523
697323
7256723
8524423
9594123
10737623
Stop Event
1×node limit
Counts
1 → 4
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

eval1.0ms (0%)

Compiler

Compiled 37 to 18 computations (51.4% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Accurracy
100.0%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶81.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize56.0ms (2.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (log.f64 y)))
✓99.7%
(*.f64 y (log.f64 y))
Compiler

Compiled 57 to 13 computations (77.2% saved)

series66.0ms (2.5%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
33.0ms
y
@0
(*.f64 y (log.f64 y))
21.0ms
y
@-inf
(*.f64 y (log.f64 y))
7.0ms
y
@inf
(*.f64 y (log.f64 y))
5.0ms
x
@0
(+.f64 x (*.f64 y (log.f64 y)))
0.0ms
x
@inf
(+.f64 x (*.f64 y (log.f64 y)))

rewrite60.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1738×pow1
1602×add-exp-log
1602×log1p-expm1-u
1602×expm1-log1p-u
1566×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
116324
2218624
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
Outputs
(-.f64 (+.f64 1 (*.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)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (+.f64 1 (fma.f64 y (log.f64 y) x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 y (log.f64 y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))

simplify169.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
1206×div-sub
1138×fma-neg
962×fma-def
640×unswap-sqr
634×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01181780
12861734
210521606
354631606
Stop Event
1×node limit
Counts
78 → 64
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (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 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (log.f64 y))
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(-.f64 (+.f64 1 (*.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)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
(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))))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(-.f64 (+.f64 1 (fma.f64 y (log.f64 y) x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 y (log.f64 y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.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 (*.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 (*.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 (*.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 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(*.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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(-.f64 (+.f64 1 (*.f64 y (log.f64 y))) 1)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (*.f64 y (log.f64 y)) 1)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(log.f64 (pow.f64 y y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(exp.f64 (log.f64 (*.f64 y (log.f64 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(log1p.f64 (-.f64 (pow.f64 y y) 1))
(log1p.f64 (+.f64 (pow.f64 y y) -1))
(log1p.f64 (+.f64 -1 (pow.f64 y y)))
(-.f64 (+.f64 1 (fma.f64 y (log.f64 y) x)) 1)
(fma.f64 y (log.f64 y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (log.f64 y)))) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(*.f64 (fma.f64 y (log.f64 y) x) 1)
(fma.f64 y (log.f64 y) x)
(*.f64 1 (fma.f64 y (log.f64 y) x))
(fma.f64 y (log.f64 y) x)
(*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))
(fma.f64 y (log.f64 y) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 y (log.f64 y)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (neg.f64 (log.f64 y)) x))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(fma.f64 y (log.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(fma.f64 y (log.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(fma.f64 y (log.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(fma.f64 y (log.f64 y) x)
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(fma.f64 y (log.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)

eval13.0ms (0.5%)

Compiler

Compiled 954 to 413 computations (56.7% saved)

prune120.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh000
Picked022
Done000
Total63366
Accurracy
100.0%
Counts
66 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶78.7%
(exp.f64 (-.f64 x z))
✓81.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
▶78.7%
(exp.f64 (-.f64 x z))
Compiler

Compiled 60 to 40 computations (33.3% saved)

localize45.0ms (1.7%)

Compiler

Compiled 13 to 6 computations (53.8% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Accurracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓81.6%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
✓100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓78.7%
(exp.f64 (-.f64 x z))
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes25.0ms (0.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

6.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
x
3.0ms
z
3.0ms
(*.f64 y (log.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes40.0ms (1.5%)

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

3 calls:

19.0ms
x
15.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
88.8%3x
83.4%2y
88.8%2z
Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes8.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 (-.f64 x z))
Outputs
(exp.f64 (-.f64 x z))
Calls

3 calls:

3.0ms
z
3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.7%1y
78.7%1x
78.7%1z
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch14.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.093707133242017e-9
4.704092144402359e-8
Results
8.0ms55×body256infinite
5.0ms41×body256valid
Compiler

Compiled 138 to 97 computations (29.7% saved)

simplify37.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02181
12781
23381
33581
43681
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 z 3475661731392059/302231454903657293676544) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 z 3475661731392059/302231454903657293676544) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
Compiler

Compiled 38 to 23 computations (39.5% saved)

soundness135.0ms (5.1%)

Rules
1234×fma-def
1016×unswap-sqr
784×associate-*r/
778×associate-/l/
654×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
12023
24423
39223
416023
531523
697323
7256723
8524423
9594123
10737623
Stop Event
1×node limit
Compiler

Compiled 58 to 22 computations (62.1% saved)

end51.0ms (1.9%)

Compiler

Compiled 112 to 62 computations (44.6% saved)

Profiling

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