Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

analyze30.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
0%	0%	99.9%	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
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.7s (50.5%)

Results

1.4s	6585×	body	256	valid
240.0ms	1671×	body	256	infinite

Bogosity

preprocess290.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

3626×	`fma-def`
1290×	`div-sub`
736×	`times-frac`
726×	`sub-neg`
416×	`distribute-rgt-in`

Problems

256×

No Errors

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	168
1	68	160
2	165	156
3	498	156
4	1321	152
5	3365	152
6	4764	152
7	5570	152
8	6205	152
9	6507	152
10	6640	152
11	7781	152

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(+.f64 y (/.f64 (-.f64 x y) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (/.f64 (-.f64 y (neg.f64 x)) z))
(-.f64 (/.f64 (+.f64 x y) z) x)
(+.f64 x (/.f64 (-.f64 (neg.f64 y) x) z))
(-.f64 x (/.f64 (+.f64 x y) z))
(+.f64 x (/.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (/.f64 (-.f64 y x) z))
(+.f64 y (/.f64 (-.f64 x y) z))
(-.f64 y (/.f64 (-.f64 y x) z))
(+.f64 z (/.f64 (-.f64 y z) x))
(+.f64 x (/.f64 (-.f64 z x) y))
(-.f64 x (/.f64 (-.f64 x z) y))

Compiler

Compiled 32 to 13 computations (59.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 20 to 12 computations (40% saved)

localize50.0ms (1.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 y x) z)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0.2%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 y x) z)
1.0ms	z	@	0	(/.f64 (-.f64 y x) z)
1.0ms	y	@	-inf	(/.f64 (-.f64 y x) z)
1.0ms	y	@	inf	(/.f64 (-.f64 y x) z)
1.0ms	z	@	inf	(/.f64 (-.f64 y x) z)

rewrite64.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`pow1`
1846×	`add-exp-log`
1846×	`log1p-expm1-u`
1846×	`expm1-log1p-u`
174×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	13
2	2369	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 (-.f64 y x) z)

Outputs
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (+.f64 1 (/.f64 (-.f64 y x) z)) 1)
(*.f64 (-.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 y x) z) 1)
(*.f64 1 (/.f64 (-.f64 y x) z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))

simplify156.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1536×	`fma-def`
814×	`div-sub`
788×	`log-prod`
736×	`log-div`
424×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	772
1	228	772
2	793	772
3	4575	772

Stop Event

1×	node limit

Counts

58 → 41

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(*.f64 -1 (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (+.f64 1 (/.f64 (-.f64 y x) z)) 1)
(*.f64 (-.f64 y x) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 y x) z) 1)
(*.f64 1 (/.f64 (-.f64 y x) z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (-.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))

Outputs
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 -1 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 -1 (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(-.f64 (/.f64 y z) (/.f64 x z))
(/.f64 (-.f64 y x) z)
(-.f64 (+.f64 1 (/.f64 (-.f64 y x) z)) 1)
(/.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) (/.f64 1 z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(*.f64 1 (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2))
(/.f64 (-.f64 y x) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 2) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 z) (-.f64 y x))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 (-.f64 y x) z) 1)
(/.f64 (-.f64 y x) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) 3)
(/.f64 (-.f64 y x) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3) 1/3)
(/.f64 (-.f64 y x) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) 2)
(/.f64 (-.f64 y x) z)
(pow.f64 (/.f64 z (-.f64 y x)) -1)
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 2))
(/.f64 (-.f64 y x) z)
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) 3))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))
(/.f64 (-.f64 y x) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) 1))
(/.f64 (-.f64 y x) z)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)

eval14.0ms (0.4%)

Compiler: Compiled 478 to 181 computations (62.1% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Accuracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
▶	73.7%	(+.f64 x (/.f64 y z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
▶	73.7%	(+.f64 x (/.f64 y z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize59.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 9 computations (69% saved)

series4.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+.f64 x (/.f64 y z))
0.0ms	x	@	0	(+.f64 x (/.f64 y z))
0.0ms	z	@	0	(+.f64 x (/.f64 y z))
0.0ms	y	@	0	(+.f64 x (/.f64 y z))
0.0ms	z	@	-inf	(+.f64 x (/.f64 y z))

rewrite84.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`pow1`
1680×	`add-exp-log`
1680×	`log1p-expm1-u`
1680×	`expm1-log1p-u`
1646×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2234	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 x (/.f64 y z))

Outputs
(-.f64 (+.f64 1 (+.f64 x (/.f64 y z))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 2) (-.f64 x (/.f64 y z))))
(*.f64 (+.f64 x (/.f64 y z)) 1)
(*.f64 1 (+.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (-.f64 x (/.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 y z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (-.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))) (neg.f64 (-.f64 x (/.f64 y z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 x x)) (-.f64 (/.f64 y z) x))
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(fma.f64 y (/.f64 1 z) x)
(fma.f64 1 x (/.f64 y z))
(fma.f64 1 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))

simplify323.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-neg`
1010×	`cancel-sign-sub-inv`
792×	`associate-r`
784×	`div-sub`
764×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1103
1	223	899
2	712	725
3	4417	725

Stop Event

1×	node limit

Counts

43 → 42

Calls

Call 1

Inputs
(/.f64 y z)
x
x
x
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
x
(-.f64 (+.f64 1 (+.f64 x (/.f64 y z))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 2) (-.f64 x (/.f64 y z))))
(*.f64 (+.f64 x (/.f64 y z)) 1)
(*.f64 1 (+.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (-.f64 x (/.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 y z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (-.f64 x (/.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))) (neg.f64 (-.f64 x (/.f64 y z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 x x)) (-.f64 (/.f64 y z) x))
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(fma.f64 y (/.f64 1 z) x)
(fma.f64 1 x (/.f64 y z))
(fma.f64 1 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y z))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))

Outputs
(/.f64 y z)
x
x
x
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
x
x
(-.f64 (+.f64 1 (+.f64 x (/.f64 y z))) 1)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) 2) (-.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(*.f64 (+.f64 x (/.f64 y z)) 1)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(*.f64 1 (+.f64 x (/.f64 y z)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 2) (cbrt.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) (sqrt.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y z) 2)) (/.f64 1 (-.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))) (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (/.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 y z) 2) (-.f64 (.f64 x x) (.f64 x (/.f64 y z)))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2)) (-.f64 x (/.f64 y z)))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 y z) (-.f64 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y z)) (pow.f64 (/.f64 y z) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y z) 2))) (neg.f64 (-.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(/.f64 (-.f64 (pow.f64 (/.f64 y z) 2) (*.f64 x x)) (-.f64 (/.f64 y z) x))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(pow.f64 (+.f64 x (/.f64 y z)) 1)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 y z))) 3)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(pow.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 y z))) 2)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 2))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(log.f64 (exp.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y z)) 3))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(exp.f64 (log.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 y z))))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 y (/.f64 1 z) x)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 1 x (/.f64 y z))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 1 (/.f64 y z) x)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z)) x)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y z))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) x)
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y z))
(+.f64 1 (-.f64 (+.f64 (/.f64 y z) x) 1))
(+.f64 (+.f64 (/.f64 y z) x) 0)
(+.f64 (/.f64 y z) x)

eval8.0ms (0.2%)

Compiler: Compiled 517 to 173 computations (66.5% saved)

prune9.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	40	5	45

Accuracy

100.0%

Counts

45 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.0%	(/.f64 y z)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
✓	73.7%	(+.f64 x (/.f64 y z))
	31.4%	x
▶	44.0%	(/.f64 y z)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
✓	73.7%	(+.f64 x (/.f64 y z))
	31.4%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize18.0ms (0.5%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(/.f64 y z)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
✓	73.7%	(+.f64 x (/.f64 y z))
	31.4%	x
✓	44.0%	(/.f64 y z)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
✓	73.7%	(+.f64 x (/.f64 y z))
	31.4%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.0%	(/.f64 y z)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	59.3%	(+.f64 x (/.f64 (neg.f64 x) z))
✓	73.7%	(+.f64 x (/.f64 y z))
	31.4%	x

Compiler

Compiled 62 to 35 computations (43.5% saved)

regimes28.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 (neg.f64 x) z))
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 47 to 26 computations (44.7% saved)

regimes152.0ms (4.5%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 (neg.f64 x) z))

Outputs
(+.f64 x (/.f64 (neg.f64 x) z))
(+.f64 x (/.f64 y z))
(+.f64 x (/.f64 (neg.f64 x) z))

Calls

3 calls:

79.0ms	z
54.0ms	y
18.0ms	x

Results

Accuracy	Segments	Branch
91.4%	3	`x`
87.0%	5	`y`
79.7%	5	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes49.0ms (1.5%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(/.f64 y z)
(+.f64 x (/.f64 y z))

Outputs
(+.f64 x (/.f64 y z))

Calls

2 calls:

45.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
73.7%	1	`y`
73.7%	1	`x`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes41.0ms (1.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 y z)

Outputs
x
(/.f64 y z)
x

Calls

3 calls:

17.0ms	x
14.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
61.3%	3	`z`
57.1%	5	`x`
58.3%	5	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
31.4%	1	`x`
31.4%	1	`y`
31.4%	1	`z`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch23.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.395182918526577e+21	4.877699913682428e+24
8.0ms	-8.171823453928011e+111	-2.394655136419041e+111

Results

17.0ms	175×	body	256	valid
3.0ms	33×	body	256	infinite

Compiler

Compiled 263 to 180 computations (31.6% saved)

bsearch73.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	8.769091135899353e+32	7.412021444202481e+39
15.0ms	-1.1980950714069187e+71	-7.043702065837435e+64

Results

70.0ms

288×

body

256

valid

Compiler

Compiled 232 to 173 computations (25.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`if-if-or-not`
4×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	115
1	47	111
2	53	111
3	56	111
4	57	111

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -2499999999999999825299836731576099321168332875347442123153974215411807458207728475940490896723563616894307008512) (+.f64 x (/.f64 (neg.f64 x) z)) (if (<=.f64 x 2250000000000000096468992) (+.f64 x (/.f64 y z)) (+.f64 x (/.f64 (neg.f64 x) z))))
(+.f64 x (/.f64 y z))
(if (<=.f64 z -2600000000000000119739161467141160268945403104813161726474299899904) x (if (<=.f64 z 78000000000000003825318549237268480) (/.f64 y z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -2499999999999999825299836731576099321168332875347442123153974215411807458207728475940490896723563616894307008512) (+.f64 x (/.f64 (neg.f64 x) z)) (if (<=.f64 x 2250000000000000096468992) (+.f64 x (/.f64 y z)) (+.f64 x (/.f64 (neg.f64 x) z))))
(if (or (<=.f64 x -2499999999999999825299836731576099321168332875347442123153974215411807458207728475940490896723563616894307008512) (not (<=.f64 x 2250000000000000096468992))) (+.f64 x (neg.f64 (/.f64 x z))) (+.f64 x (/.f64 y z)))
(if (or (<=.f64 x -2499999999999999825299836731576099321168332875347442123153974215411807458207728475940490896723563616894307008512) (not (<=.f64 x 2250000000000000096468992))) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z)))
(+.f64 x (/.f64 y z))
(if (<=.f64 z -2600000000000000119739161467141160268945403104813161726474299899904) x (if (<=.f64 z 78000000000000003825318549237268480) (/.f64 y z) x))
x

Compiler

Compiled 60 to 38 computations (36.7% saved)

soundness97.0ms (2.9%)

Rules

1536×	`fma-def`
814×	`div-sub`
788×	`log-prod`
736×	`log-div`
424×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	772
1	228	772
2	793	772
3	4575	772

Stop Event

1×	node limit

Compiler

Compiled 22 to 12 computations (45.5% saved)

end0.0ms (0%)

preprocess40.0ms (1.2%)

Compiler: Compiled 116 to 58 computations (50% saved)

analyze30.0ms (0.9%)

sample1.7s (50.5%)

preprocess290.0ms (8.7%)

eval0.0ms (0%)

prune2.0ms (0%)

localize50.0ms (1.5%)

series7.0ms (0.2%)

rewrite64.0ms (1.9%)

simplify156.0ms (4.7%)

eval14.0ms (0.4%)

prune14.0ms (0.4%)

localize59.0ms (1.8%)

series4.0ms (0.1%)

rewrite84.0ms (2.5%)

simplify323.0ms (9.6%)

eval8.0ms (0.2%)

prune9.0ms (0.3%)

localize18.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes28.0ms (0.8%)

regimes152.0ms (4.5%)

regimes49.0ms (1.5%)

regimes41.0ms (1.2%)

regimes10.0ms (0.3%)

bsearch23.0ms (0.7%)

bsearch73.0ms (2.2%)

simplify7.0ms (0.2%)

soundness97.0ms (2.9%)

end0.0ms (0%)

preprocess40.0ms (1.2%)

Profiling