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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample934.0ms (60%)

Results

704.0ms	6178×	body	256	valid
218.0ms	2078×	body	256	infinite

Bogosity

preprocess46.0ms (3%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def`
136×	`fma-neg`
110×	`sub-neg`
100×	`distribute-rgt-in`
96×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	64
1	48	60
2	111	60
3	284	60
4	529	60
5	804	60
6	1086	60
7	1166	60
8	1180	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (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 11 to 7 computations (36.4% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
4×	`+-commutative`
2×	`associate-+r+`
2×	`*-commutative`
2×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))

eval1.0ms (0%)

Compiler: Compiled 21 to 9 computations (57.1% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize32.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x x) y)

Compiler

Compiled 31 to 8 computations (74.2% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite54.0ms (3.4%)

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)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1793	9

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))

simplify59.0ms (3.8%)

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)

Iter	Nodes	Cost
0	88	763
1	208	713
2	649	713
3	3873	713

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)

eval8.0ms (0.5%)

Compiler: Compiled 488 to 213 computations (56.4% saved)

prune10.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	37	4	41

Accurracy

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	61.2%	(+.f64 (*.f64 x x) y)
▶	48.2%	(+.f64 y y)
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	61.2%	(+.f64 (*.f64 x x) y)
▶	48.2%	(+.f64 y y)

Compiler

Compiled 58 to 32 computations (44.8% saved)

localize24.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (*.f64 x x) y)

Compiler

Compiled 17 to 6 computations (64.7% saved)

eval12.0ms (0.8%)

Compiler: Compiled 410 to 174 computations (57.6% saved)

prune9.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	37	6	43

Accurracy

100.0%

Counts

43 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	61.2%	(+.f64 (*.f64 x x) y)
✓	48.2%	(+.f64 y y)
▶	53.9%	(*.f64 x x)
	10.4%	y
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	61.2%	(+.f64 (*.f64 x x) y)
✓	48.2%	(+.f64 y y)
▶	53.9%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 74 to 42 computations (43.2% saved)

localize15.0ms (1%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	4	4
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	61.2%	(+.f64 (*.f64 x x) y)
✓	48.2%	(+.f64 y y)
✓	53.9%	(*.f64 x x)
	10.4%	y
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	61.2%	(+.f64 (*.f64 x x) y)
✓	48.2%	(+.f64 y y)
✓	53.9%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 74 to 42 computations (43.2% 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)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	61.2%	(+.f64 (*.f64 x x) y)
✓	48.2%	(+.f64 y y)
✓	53.9%	(*.f64 x x)
	10.4%	y

Compiler

Compiled 64 to 28 computations (56.3% saved)

regimes20.0ms (1.3%)

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 x x (+.f64 y y))

Outputs
(fma.f64 x x (+.f64 y y))

Calls

4 calls:

5.0ms	x
5.0ms	y
4.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 47 to 19 computations (59.6% saved)

regimes18.0ms (1.2%)

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	x
5.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
4.0ms	y
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
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)

regimes35.0ms (2.2%)

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:

14.0ms	y
11.0ms	x
8.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.7%	2	`x`
72.6%	3	`y`
91.7%	2	`(*.f64 x x)`

Compiler

Compiled 25 to 12 computations (52% saved)

regimes23.0ms (1.5%)

Counts

3 → 4

Calls

Call 1

Inputs
y
(*.f64 x x)
(+.f64 y y)

Outputs
(+.f64 y y)
(*.f64 x x)
(+.f64 y y)
(*.f64 x x)

Calls

2 calls:

13.0ms	x
9.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
92.5%	4	`x`
92.5%	4	`(*.f64 x x)`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes15.0ms (1%)

Counts

2 → 2

Calls

Call 1

Inputs
y
(*.f64 x x)

Outputs
y
(*.f64 x x)

Calls

3 calls:

5.0ms	x
5.0ms	(*.f64 x x)
4.0ms	y

Results

Accuracy	Segments	Branch
53.9%	1	`y`
58.6%	2	`x`
58.6%	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
2.0ms	x

Results

Accuracy	Segments	Branch
10.4%	1	`y`
10.4%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch13.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.644811329483459e-65	3.1646513830491257e-60

Results

11.0ms

144×

body

256

valid

Compiler

Compiled 122 to 81 computations (33.6% saved)

bsearch33.0ms (2.1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5714775939560343e+73	2.9885362611132893e+78
7.0ms	10176174915540600.0	39814292967116910.0
13.0ms	3.644811329483459e-65	3.1646513830491257e-60

Results

29.0ms

368×

body

256

valid

Compiler

Compiled 244 to 170 computations (30.3% saved)

bsearch12.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.9399751134903546e-155	5.955240422084783e-152

Results

10.0ms

128×

body

256

valid

Compiler

Compiled 78 to 57 computations (26.9% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`not-or`
4×	`+-commutative`
4×	`if-if-or-not`
2×	`not-not`
2×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	166
1	35	166
2	38	166
3	41	162
4	42	162
5	43	162

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(if (<=.f64 (.f64 x x) 8800198782036031/926336713898529563388567880069503262826159877325124512315660672063305037119488) (+.f64 y y) (+.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 y y) (if (<=.f64 (.f64 x x) 10500000000000000) (.f64 x x) (if (<=.f64 (.f64 x x) 17999999999999999380751455539969826172766873272849060574191445336018386944) (+.f64 y y) (*.f64 x x))))
(if (<=.f64 (.f64 x x) 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) y (.f64 x x))
y

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(if (<=.f64 (.f64 x x) 8800198782036031/926336713898529563388567880069503262826159877325124512315660672063305037119488) (+.f64 y y) (+.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) 8800198782036031/926336713898529563388567880069503262826159877325124512315660672063305037119488) (+.f64 y y) (+.f64 y (.f64 x x)))
(if (<=.f64 (.f64 x x) 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328) (+.f64 y y) (if (<=.f64 (.f64 x x) 10500000000000000) (.f64 x x) (if (<=.f64 (.f64 x x) 17999999999999999380751455539969826172766873272849060574191445336018386944) (+.f64 y y) (*.f64 x x))))
(if (or (<=.f64 (.f64 x x) 633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328) (and (not (<=.f64 (.f64 x x) 10500000000000000)) (<=.f64 (.f64 x x) 17999999999999999380751455539969826172766873272849060574191445336018386944))) (+.f64 y y) (.f64 x x))
(if (<=.f64 (.f64 x x) 7246007855657359/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) y (.f64 x x))
y

Compiler

Compiled 75 to 39 computations (48% saved)

soundness97.0ms (6.2%)

Rules

836×	`fma-neg`
800×	`log-prod`
792×	`cancel-sign-sub-inv`
760×	`associate-r`
706×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15
0	88	763
1	208	713
2	649	713
3	3873	713

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 34 to 15 computations (55.9% saved)

end0.0ms (0%)

preprocess56.0ms (3.6%)

Remove: (abs x)
Compiler: Compiled 182 to 74 computations (59.3% saved)

analyze0.0ms (0%)

sample934.0ms (60%)

preprocess46.0ms (3%)

simplify3.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize32.0ms (2%)

series2.0ms (0.1%)

rewrite54.0ms (3.4%)

simplify59.0ms (3.8%)

eval8.0ms (0.5%)

prune10.0ms (0.7%)

localize24.0ms (1.6%)

eval12.0ms (0.8%)

prune9.0ms (0.6%)

localize15.0ms (1%)

eval0.0ms (0%)

prune4.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes20.0ms (1.3%)

regimes18.0ms (1.2%)

regimes35.0ms (2.2%)

regimes23.0ms (1.5%)

regimes15.0ms (1%)

regimes6.0ms (0.4%)

bsearch13.0ms (0.8%)

bsearch33.0ms (2.1%)

bsearch12.0ms (0.8%)

simplify10.0ms (0.6%)

soundness97.0ms (6.2%)

end0.0ms (0%)

preprocess56.0ms (3.6%)

Profiling