Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

Time bar (total: 1.4s)

analyze0.0ms (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 6 computations (40% saved)

sample680.0ms (49.9%)

Results
495.0ms6185×body256valid
173.0ms2071×body256infinite
Bogosity

preprocess73.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
754×fma-def
136×fma-neg
110×sub-neg
100×distribute-rgt-in
96×associate-+l-
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01879
14875
211175
328475
452975
580475
6108675
7116675
8118075
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(+.f64 (+.f64 (*.f64 y y) x) x)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(fma.f64 2 y (*.f64 x x))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(fma.f64 2 y (*.f64 x x))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(fma.f64 2 y (*.f64 x x))
(fma.f64 y 2 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(-.f64 (-.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 y -2))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))
Symmetry

(abs x)

Compiler

Compiled 29 to 11 computations (62.1% saved)

eval1.0ms (0.1%)

Compiler

Compiled 26 to 11 computations (57.7% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y 2 (*.f64 x x))
▶100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
▶100.0%
(fma.f64 y 2 (*.f64 x x))
▶100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
Compiler

Compiled 34 to 20 computations (41.2% saved)

localize37.0ms (2.7%)

Localize:

Found 1 expressions with local error:

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

Compiled 32 to 9 computations (71.9% saved)

series1.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 x x) y)
0.0ms
x
@0
(+.f64 (*.f64 x x) y)
0.0ms
y
@0
(+.f64 (*.f64 x x) y)
0.0ms
y
@-inf
(+.f64 (*.f64 x x) y)
0.0ms
y
@inf
(+.f64 (*.f64 x x) y)

rewrite55.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
1388×pow1
1290×add-exp-log
1290×log1p-expm1-u
1290×expm1-log1p-u
1264×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11319
217939
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) y)
Outputs
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) 1)
(*.f64 1 (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))) (+.f64 (pow.f64 y 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (-.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 x x)))
(pow.f64 (fma.f64 x x y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))

simplify61.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
836×fma-neg
800×log-prod
792×cancel-sign-sub-inv
760×associate-*r*
706×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088763
1208713
2649713
33873713
Stop Event
1×node limit
Counts
57 → 39
Calls
Call 1
Inputs
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
y
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(+.f64 y (pow.f64 x 2))
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(*.f64 (fma.f64 x x y) 1)
(*.f64 1 (fma.f64 x x y))
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))) (+.f64 (pow.f64 y 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (-.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 x x)))
(pow.f64 (fma.f64 x x y) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(log.f64 (exp.f64 (fma.f64 x x y)))
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(exp.f64 (log.f64 (fma.f64 x x y)))
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))
Outputs
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
y
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(+.f64 y (pow.f64 x 2))
(fma.f64 x x y)
(-.f64 (+.f64 1 (fma.f64 x x y)) 1)
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 x x) y)))
(fma.f64 x x y)
(*.f64 (fma.f64 x x y) 1)
(fma.f64 x x y)
(*.f64 1 (fma.f64 x x y))
(fma.f64 x x y)
(*.f64 (cbrt.f64 (fma.f64 x x y)) (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2))
(fma.f64 x x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(*.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)))
(fma.f64 x x y)
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 x x) y)))
(fma.f64 x x y)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))) (+.f64 (pow.f64 y 3) (pow.f64 x 6))))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(fma.f64 x x y)
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (-.f64 (*.f64 x x) y))
(fma.f64 x x y)
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 6)) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 x x) y)))
(fma.f64 x x y)
(/.f64 (-.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 x x)))
(fma.f64 x x y)
(pow.f64 (fma.f64 x x y) 1)
(fma.f64 x x y)
(pow.f64 (cbrt.f64 (fma.f64 x x y)) 3)
(fma.f64 x x y)
(pow.f64 (pow.f64 (fma.f64 x x y) 3) 1/3)
(fma.f64 x x y)
(pow.f64 (hypot.f64 x (sqrt.f64 y)) 2)
(fma.f64 x x y)
(sqrt.f64 (pow.f64 (fma.f64 x x y) 2))
(fma.f64 x x y)
(log.f64 (exp.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(cbrt.f64 (pow.f64 (fma.f64 x x y) 3))
(fma.f64 x x y)
(expm1.f64 (log1p.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(exp.f64 (log.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(log1p.f64 (expm1.f64 (fma.f64 x x y)))
(fma.f64 x x y)
(fma.f64 x x y)
(fma.f64 1 (*.f64 x x) y)
(fma.f64 x x y)
(fma.f64 1 y (*.f64 x x))
(fma.f64 x x y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x x))
(fma.f64 x x y)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x x))
(fma.f64 x x y)

eval9.0ms (0.7%)

Compiler

Compiled 488 to 213 computations (56.4% saved)

prune8.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New37239
Fresh000
Picked022
Done000
Total37441
Accuracy
100.0%
Counts
41 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
▶55.5%
(+.f64 (*.f64 x x) y)
▶55.9%
(+.f64 y y)
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
▶55.5%
(+.f64 (*.f64 x x) y)
▶55.9%
(+.f64 y y)
Compiler

Compiled 58 to 34 computations (41.4% saved)

localize26.0ms (1.9%)

Localize:

Found 1 expressions with local error:

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

Compiled 17 to 6 computations (64.7% saved)

eval7.0ms (0.5%)

Compiler

Compiled 410 to 174 computations (57.6% saved)

prune10.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New37239
Fresh000
Picked022
Done022
Total37643
Accuracy
100.0%
Counts
43 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
✓55.5%
(+.f64 (*.f64 x x) y)
✓55.9%
(+.f64 y y)
▶47.2%
(*.f64 x x)
11.5%
y
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
✓55.5%
(+.f64 (*.f64 x x) y)
✓55.9%
(+.f64 y y)
▶47.2%
(*.f64 x x)
11.5%
y
Compiler

Compiled 74 to 44 computations (40.5% saved)

localize15.0ms (1.1%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval1.0ms (0.1%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
✓55.5%
(+.f64 (*.f64 x x) y)
✓55.9%
(+.f64 y y)
✓47.2%
(*.f64 x x)
11.5%
y
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
✓55.5%
(+.f64 (*.f64 x x) y)
✓55.9%
(+.f64 y y)
✓47.2%
(*.f64 x x)
11.5%
y
Compiler

Compiled 74 to 44 computations (40.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y 2 (*.f64 x x))
✓100.0%
(+.f64 (+.f64 (*.f64 x x) y) y)
✓55.5%
(+.f64 (*.f64 x x) y)
✓55.9%
(+.f64 y y)
✓47.2%
(*.f64 x x)
11.5%
y
Compiler

Compiled 64 to 30 computations (53.1% saved)

regimes21.0ms (1.6%)

Counts
6 → 1
Calls
Call 1
Inputs
y
(*.f64 x x)
(+.f64 y y)
(+.f64 (*.f64 x x) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y 2 (*.f64 x x))
Outputs
(fma.f64 y 2 (*.f64 x x))
Calls

4 calls:

5.0ms
(*.f64 x x)
5.0ms
x
5.0ms
(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x x) y) y)
100.0%1(*.f64 x x)
Compiler

Compiled 47 to 20 computations (57.4% saved)

regimes19.0ms (1.4%)

Counts
5 → 1
Calls
Call 1
Inputs
y
(*.f64 x x)
(+.f64 y y)
(+.f64 (*.f64 x x) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
Calls

4 calls:

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

Compiled 41 to 18 computations (56.1% saved)

regimes54.0ms (4%)

Counts
4 → 2
Calls
Call 1
Inputs
y
(*.f64 x x)
(+.f64 y y)
(+.f64 (*.f64 x x) y)
Outputs
(+.f64 y y)
(+.f64 (*.f64 x x) y)
Calls

3 calls:

39.0ms
y
9.0ms
x
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
90.7%2x
74.7%9y
90.7%2(*.f64 x x)
Compiler

Compiled 25 to 12 computations (52% saved)

regimes13.0ms (1%)

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

2 calls:

8.0ms
x
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
89.9%2x
89.9%2(*.f64 x x)
Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes16.0ms (1.2%)

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

3 calls:

6.0ms
x
5.0ms
(*.f64 x x)
4.0ms
y
Results
AccuracySegmentsBranch
47.2%1y
52.2%2x
52.2%2(*.f64 x x)
Compiler

Compiled 17 to 10 computations (41.2% saved)

regimes6.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
11.5%1y
11.5%1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch11.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.8195603670741847e+52
7.620045448074803e+53
Results
10.0ms112×body256valid
Compiler

Compiled 98 to 65 computations (33.7% saved)

bsearch11.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.8195603670741847e+52
7.620045448074803e+53
Results
10.0ms112×body256valid
Compiler

Compiled 84 to 58 computations (31% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
2.0060863121991036e-120
2.031576442755339e-120
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023122
125122
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 y 2 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(if (<=.f64 (*.f64 x x) 53999999999999999633931228415527910728932255864979456) (+.f64 y y) (+.f64 (*.f64 x x) y))
(if (<=.f64 (*.f64 x x) 18499999999999999874587550475690117564541606175965184) (+.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) 734107111538563/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) y (*.f64 x x))
y
Outputs
(fma.f64 y 2 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(if (<=.f64 (*.f64 x x) 53999999999999999633931228415527910728932255864979456) (+.f64 y y) (+.f64 (*.f64 x x) y))
(if (<=.f64 (*.f64 x x) 53999999999999999633931228415527910728932255864979456) (+.f64 y y) (+.f64 y (*.f64 x x)))
(if (<=.f64 (*.f64 x x) 18499999999999999874587550475690117564541606175965184) (+.f64 y y) (*.f64 x x))
(if (<=.f64 (*.f64 x x) 734107111538563/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) y (*.f64 x x))
y
Compiler

Compiled 62 to 33 computations (46.8% saved)

soundness149.0ms (11%)

Rules
836×fma-neg
800×log-prod
792×cancel-sign-sub-inv
760×associate-*r*
754×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01879
14875
211175
328475
452975
580475
6108675
7116675
8118075
088763
1208713
2649713
33873713
Stop Event
1×node limit
1×saturated
Compiler

Compiled 55 to 23 computations (58.2% saved)

end0.0ms (0%)

preprocess59.0ms (4.4%)

Remove

(abs x)

Compiler

Compiled 156 to 64 computations (59% saved)

Profiling

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