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

analyze33.0ms (1.2%)

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)

sample1.2s (47.6%)

Results

1.1s	6609×	body	256	valid
151.0ms	1647×	body	256	infinite

Bogosity

preprocess170.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	149
1	68	141
2	165	137
3	498	137
4	1321	133
5	3365	133
6	4764	133
7	5570	133
8	6205	133
9	6507	133
10	6640	133
11	7781	133

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.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 (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 13 to 9 computations (30.8% saved)

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1312×	`fma-def`
154×	`distribute-rgt-in`
142×	`cancel-sign-sub-inv`
110×	`unsub-neg`
104×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	15	19
2	26	19
3	45	19
4	91	19
5	169	19
6	376	19
7	702	19
8	1217	19
9	1514	19
10	1607	19
11	1689	19
12	1693	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

100.0%

Counts

2 → 1

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)

localize30.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite56.0ms (2.1%)

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)))

simplify54.0ms (2%)

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)

eval8.0ms (0.3%)

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

prune9.0ms (0.3%)

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

Accurracy

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))
▶	66.0%	(+.f64 x (/.f64 (neg.f64 x) z))
▶	74.5%	(+.f64 x (/.f64 y z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	66.0%	(+.f64 x (/.f64 (neg.f64 x) z))
▶	74.5%	(+.f64 x (/.f64 y z))

Compiler

Compiled 54 to 34 computations (37% saved)

localize39.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 9 computations (69% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 x (/.f64 (neg.f64 x) z))
1.0ms	x	@	0	(+.f64 x (/.f64 (neg.f64 x) z))
0.0ms	z	@	0	(+.f64 x (/.f64 (neg.f64 x) z))
0.0ms	z	@	inf	(+.f64 x (/.f64 (neg.f64 x) z))
0.0ms	x	@	-inf	(+.f64 x (/.f64 (neg.f64 x) z))

rewrite60.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`pow1`
1618×	`add-exp-log`
1616×	`log1p-expm1-u`
1616×	`expm1-log1p-u`
1584×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	13
2	2739	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

simplify61.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1100×	`fma-neg`
944×	`associate-r`
866×	`associate-/l*`
850×	`associate-l`
692×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1641
1	242	1409
2	915	1161
3	6327	1161

Stop Event

1×	node limit

Counts

61 → 52

Calls

Call 1

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

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

eval12.0ms (0.4%)

Compiler: Compiled 611 to 206 computations (66.3% saved)

prune10.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	50	5	55

Accurracy

100.0%

Counts

55 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.8%	(/.f64 (neg.f64 x) z)
▶	66.0%	(-.f64 x (/.f64 x z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	74.5%	(+.f64 x (/.f64 y z))
	37.1%	x
▶	30.8%	(/.f64 (neg.f64 x) z)
▶	66.0%	(-.f64 x (/.f64 x z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	74.5%	(+.f64 x (/.f64 y z))
	37.1%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize35.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`pow1`
1532×	`add-exp-log`
1532×	`log1p-expm1-u`
1532×	`expm1-log1p-u`
1500×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	136	13
2	2032	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1844×	`div-sub`
908×	`fma-def`
820×	`fma-neg`
376×	`log-prod`
368×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1496
1	287	1154
2	1025	1034
3	4577	1034

Stop Event

1×	node limit

Counts

60 → 47

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 577 to 189 computations (67.2% saved)

prune17.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	2	2
Done	0	2	2
Total	47	5	52

Accurracy

100.0%

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.8%	(/.f64 (neg.f64 x) z)
✓	66.0%	(-.f64 x (/.f64 x z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	74.5%	(+.f64 x (/.f64 y z))
	37.1%	x
✓	30.8%	(/.f64 (neg.f64 x) z)
✓	66.0%	(-.f64 x (/.f64 x z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	74.5%	(+.f64 x (/.f64 y z))
	37.1%	x

Compiler

Compiled 74 to 48 computations (35.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

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

Accurracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.8%	(/.f64 (neg.f64 x) z)
✓	66.0%	(-.f64 x (/.f64 x z))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	74.5%	(+.f64 x (/.f64 y z))
	37.1%	x

Compiler

Compiled 68 to 37 computations (45.6% saved)

regimes20.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

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

6.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

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 53 to 28 computations (47.2% saved)

regimes95.0ms (3.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	z
24.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
91.3%	3	`x`
87.1%	3	`y`
84.1%	3	`z`

Compiler

Compiled 36 to 19 computations (47.2% saved)

regimes28.0ms (1.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
10.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
84.1%	3	`z`
74.5%	1	`y`
78.4%	3	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes61.0ms (2.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	y
15.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
39.8%	2	`y`
44.8%	5	`x`
64.6%	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (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:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
37.1%	1	`y`
37.1%	1	`x`
37.1%	1	`z`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch23.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.27918361959841e-21	2.6004425545312453e-12
8.0ms	-4.385663429460319e-93	-1.5264796437206193e-93

Results

18.0ms	204×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 268 to 179 computations (33.2% saved)

bsearch21.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.132389886697672e-43	2.8858285555301206e-29
5.0ms	-1.324690763266446e-134	-9.445056101952004e-135

Results

15.0ms	168×	body	256	valid
3.0ms	40×	body	256	infinite

Compiler

Compiled 237 to 167 computations (29.5% saved)

bsearch29.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.185618283800744e-11	0.00012236057810039076
15.0ms	-0.901313066459798	-3.5359944299635075e-8

Results

26.0ms	281×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 250 to 191 computations (23.6% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	151
1	57	151
2	63	151
3	66	151
4	67	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (-.f64 x (/.f64 x z)) (if (<=.f64 x 713053462628379/9903520314283042199192993792) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 z -2148162586431843/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1309505467048489/748288838313422294120286634350736906063837462003712) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))
(if (<=.f64 z -8106479329266893/9007199254740992) x (if (<=.f64 z 8854437155380585/73786976294838206464) (/.f64 (neg.f64 x) z) x))
x

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (-.f64 x (/.f64 x z)) (if (<=.f64 x 713053462628379/9903520314283042199192993792) (+.f64 x (/.f64 y z)) (-.f64 x (/.f64 x z))))
(if (or (<=.f64 x -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (not (<=.f64 x 713053462628379/9903520314283042199192993792))) (-.f64 x (/.f64 x z)) (+.f64 x (/.f64 y z)))
(if (<=.f64 z -2148162586431843/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (+.f64 x (/.f64 y z)) (if (<=.f64 z 1309505467048489/748288838313422294120286634350736906063837462003712) (/.f64 (neg.f64 x) z) (+.f64 x (/.f64 y z))))
(if (or (<=.f64 z -2148162586431843/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336) (not (<=.f64 z 1309505467048489/748288838313422294120286634350736906063837462003712))) (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(if (<=.f64 z -8106479329266893/9007199254740992) x (if (<=.f64 z 8854437155380585/73786976294838206464) (/.f64 (neg.f64 x) z) x))
x

Compiler

Compiled 74 to 48 computations (35.1% saved)

soundness247.0ms (9.4%)

Rules

1536×	`fma-def`
1100×	`fma-neg`
1100×	`fma-neg`
944×	`associate-r`
944×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	772
1	228	772
2	793	772
3	4575	772
0	100	1641
1	242	1409
2	915	1161
3	6327	1161
0	100	1641
1	242	1409
2	915	1161
3	6327	1161

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 83 to 50 computations (39.8% saved)

end0.0ms (0%)

preprocess46.0ms (1.8%)

Compiler: Compiled 144 to 76 computations (47.2% saved)

analyze33.0ms (1.2%)

sample1.2s (47.6%)

preprocess170.0ms (6.5%)

simplify46.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (1.2%)

series3.0ms (0.1%)

rewrite56.0ms (2.1%)

simplify54.0ms (2%)

eval8.0ms (0.3%)

prune9.0ms (0.3%)

localize39.0ms (1.5%)

series3.0ms (0.1%)

rewrite60.0ms (2.3%)

simplify61.0ms (2.3%)

eval12.0ms (0.4%)

prune10.0ms (0.4%)

localize35.0ms (1.3%)

series1.0ms (0%)

rewrite65.0ms (2.5%)

simplify63.0ms (2.4%)

eval8.0ms (0.3%)

prune17.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes20.0ms (0.7%)

regimes95.0ms (3.6%)

regimes28.0ms (1.1%)

regimes61.0ms (2.3%)

regimes8.0ms (0.3%)

bsearch23.0ms (0.9%)

bsearch21.0ms (0.8%)

bsearch29.0ms (1.1%)

simplify10.0ms (0.4%)

soundness247.0ms (9.4%)

end0.0ms (0%)

preprocess46.0ms (1.8%)

Profiling