Details

analyze185.0ms (7.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample213.0ms (8.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify86.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
504×	`div-sub_binary64`
481×	`fma-def_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	37	10
4	64	10
5	113	10
6	216	10
7	415	10
8	754	10
9	1183	10
10	1537	10
11	1612	10
12	1657	10
13	1684	10
14	1694	10
15	1702	10
16	1702	10
17	1600	10

prune1.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

series21.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

21.0ms

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

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

1 → 54

Calls

1 calls:

7.0ms

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

simplify95.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg_binary64`
431×	`associate--l+_binary64`
430×	`fma-def_binary64`
264×	`times-frac_binary64`
247×	`associate-/l*_binary64`

Counts

90 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2081
1	427	2033
2	1343	1890
3	4742	1874
4	5340	1874

prune61.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Error

Counts

86 → 3

Alt Table

Status	Error	Program
	21.5b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))
▶	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
	31.3b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y))) (+.f64 (/.f64 x y) (.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 z y)) (/.f64 z y)))))

Compiler

Compiled 1770 to 627 computations (64.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 z y))
✓	0.0b	(/.f64 x (-.f64 z y))

series27.0ms (1%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(/.f64 x (-.f64 z y))
9.0ms	(/.f64 y (-.f64 z y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
10×	`associate-/r*_binary64`

Counts

2 → 78

Calls

2 calls:

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

simplify82.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

516×	`cancel-sign-sub-inv_binary64`
402×	`fma-neg_binary64`
343×	`associate-/l*_binary64`
333×	`times-frac_binary64`
301×	`fma-def_binary64`

Counts

126 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2194
1	368	2122
2	1067	1932
3	3547	1923
4	5325	1923

prune63.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Error

Counts

111 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
▶	0.1b	(-.f64 (/.f64 1 (/.f64 (-.f64 z y) x)) (/.f64 y (-.f64 z y)))
	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y))) (/.f64 y (-.f64 z y)))

Compiler

Compiled 2124 to 604 computations (71.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (-.f64 z y))
✓	0.0b	(/.f64 (-.f64 z y) x)
✓	0.4b	(/.f64 1 (/.f64 (-.f64 z y) x))

series38.0ms (1.5%)

Counts

2 → 64

Calls

2 calls:

27.0ms	(/.f64 1 (/.f64 (-.f64 z y) x))
11.0ms	(/.f64 (-.f64 z y) x)

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`times-frac_binary64`
100×	`*-un-lft-identity_binary64`
100×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`

Counts

2 → 142

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (-.f64 z y) x))
5.0ms	(/.f64 (-.f64 z y) x)

simplify157.0ms (6%)

Algorithm

1×	egg-herbie

Rules

502×	`times-frac_binary64`
475×	`fma-neg_binary64`
347×	`associate-/l*_binary64`
248×	`div-sub_binary64`
242×	`fma-def_binary64`

Counts

206 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	3340
1	371	3043
2	1115	2899
3	3719	2899
4	4576	2899
5	4997	2899
6	4965	2899

prune132.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	242	3	245

Error

Counts

245 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
✓	0.1b	(-.f64 (/.f64 1 (/.f64 (-.f64 z y) x)) (/.f64 y (-.f64 z y)))
▶	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y))) (/.f64 y (-.f64 z y)))

Compiler

Compiled 5306 to 1636 computations (69.2% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (-.f64 z y))
✓	0.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y)))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series175.0ms (6.7%)

Counts

4 → 96

Calls

4 calls:

66.0ms	(/.f64 (cbrt.f64 x) (-.f64 z y))
41.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
39.0ms	(cbrt.f64 x)
29.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y)))

rewrite39.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
62×	`times-frac_binary64`
53×	`cbrt-prod_binary64`
49×	`add-cube-cbrt_binary64`

Counts

4 → 173

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y)))
7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
5.0ms	(/.f64 (cbrt.f64 x) (-.f64 z y))
1.0ms	(cbrt.f64 x)

simplify164.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
465×	`unswap-sqr_binary64`
435×	`associate-l_binary64`
275×	`associate-r_binary64`
215×	`cancel-sign-sub-inv_binary64`

Counts

269 → 267

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	248	4334
1	615	3925
2	2874	3774
3	3735	3686
4	4781	3654
5	4932	3654

prune189.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	305	3	308

Error

Counts

308 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
✓	0.1b	(-.f64 (/.f64 1 (/.f64 (-.f64 z y) x)) (/.f64 y (-.f64 z y)))
✓	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 z y))) (/.f64 y (-.f64 z y)))

Compiler

Compiled 7667 to 1733 computations (77.4% saved)

regimes253.0ms (9.7%)

Accuracy

Total 0.0b remaining (23.1%)

Threshold costs 0.0b (23.1%)

Counts

54 → 1

Compiler

Compiled 3616 to 2070 computations (42.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	21	16
3	25	16
4	27	16
5	27	16

end0.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

sample550.0ms (21.1%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
6.0ms	223×	body	128	invalid

Compiler

Compiled 79 to 43 computations (45.6% saved)

Details

analyze185.0ms (7.1%)

sample213.0ms (8.2%)

simplify86.0ms (3.3%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series21.0ms (0.8%)

rewrite11.0ms (0.4%)

simplify95.0ms (3.6%)

prune61.0ms (2.3%)

localize6.0ms (0.2%)

series27.0ms (1%)

rewrite14.0ms (0.5%)

simplify82.0ms (3.1%)

prune63.0ms (2.4%)

localize7.0ms (0.3%)

series38.0ms (1.5%)

rewrite25.0ms (0.9%)

simplify157.0ms (6%)

prune132.0ms (5%)

localize12.0ms (0.5%)

series175.0ms (6.7%)

rewrite39.0ms (1.5%)

simplify164.0ms (6.3%)

prune189.0ms (7.2%)

regimes253.0ms (9.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample550.0ms (21.1%)

Profiling