Details

analyze547.0ms (14.4%)

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
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (28.8%)

Results

805.0ms	8256×	body	128	valid
81.0ms	798×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify172.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

907×	`associate-/l*_binary64`
740×	`associate-/l/_binary64`
677×	`fma-def_binary64`
607×	`associate-/r/_binary64`
557×	`associate-*l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	10
2	23	10
3	36	10
4	41	10
5	47	10
6	51	8
7	61	8
8	228	8
9	761	8
10	851	8
11	964	8
12	975	8
13	980	8
14	985	8
15	2231	8
16	2288	8
17	2637	8
18	2689	8
19	2901	8
20	3031	8
21	3278	8
22	3700	8
23	4109	8
24	4157	8
25	4872	8
26	4997	8
27	4889	8

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	4.8b	(fma.f64 x (/.f64 y z) x)
	12.1b	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(fma.f64 x (/.f64 y z) x)

series13.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

13.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
449×	`associate-/l/_binary64`
410×	`distribute-rgt-in_binary64`
404×	`distribute-rgt-out_binary64`
400×	`unswap-sqr_binary64`

Counts

46 → 24

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	451
1	32	374
2	63	374
3	171	374
4	650	374
5	2482	374
6	3613	374
7	3881	374
8	4329	374
9	5248	374

prune11.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	2	26

Error

0.1b

Counts

26 → 2

Alt Table

Status	Error	Program
	12.1b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	4.8b	(+.f64 (*.f64 x (/.f64 y z)) x)

Compiler

Compiled 274 to 76 computations (72.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (/.f64 y z)) x)
✓	7.8b	(*.f64 x (/.f64 y z))

series25.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 y z))
11.0ms	(+.f64 (*.f64 x (/.f64 y z)) x)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

2 → 48

Calls

2 calls:

4.0ms	(*.f64 x (/.f64 y z))
4.0ms	(+.f64 (*.f64 x (/.f64 y z)) x)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/l/_binary64`
352×	`associate-/r*_binary64`
337×	`associate-l_binary64`
324×	`associate-/r/_binary64`
269×	`fma-neg_binary64`

Counts

120 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1126
1	235	1047
2	773	1042
3	2269	1039
4	4322	1039
5	4960	1039

prune48.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	8	78

Error

Counts

78 → 8

Alt Table

Status	Error	Program
	5.1b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z))) x)
	12.1b	(/.f64 (*.f64 x (+.f64 y z)) z)
	4.7b	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) x)
	30.9b	(+.f64 (.f64 (.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) x)
▶	3.4b	(+.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))) x)
	32.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) x)
	3.7b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) x)
✓	4.8b	(+.f64 (*.f64 x (/.f64 y z)) x)

Compiler

Compiled 1206 to 404 computations (66.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	3.7b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

series500.0ms (13.2%)

Counts

4 → 84

Calls

4 calls:

394.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
40.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
34.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
33.0ms	(cbrt.f64 z)

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
31×	`times-frac_binary64`
30×	`cbrt-prod_binary64`
30×	`*-un-lft-identity_binary64`

Counts

4 → 139

Calls

4 calls:

11.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
4.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify113.0ms (3%)

Algorithm

1×	egg-herbie

Rules

527×	`fma-neg_binary64`
499×	`associate-/r/_binary64`
434×	`*-commutative_binary64`
328×	`unswap-sqr_binary64`
168×	`fma-def_binary64`

Counts

223 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3283
1	439	2349
2	1916	2292
3	2649	2238
4	4581	2238
5	4930	2238

prune177.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	252	0	252
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	252	8	260

Error

Counts

260 → 8

Alt Table

Status	Error	Program
	5.1b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z))) x)
	12.1b	(/.f64 (*.f64 x (+.f64 y z)) z)
	4.7b	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) x)
	30.9b	(+.f64 (.f64 (.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) x)
✓	3.4b	(+.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))) x)
	32.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) x)
▶	3.7b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) x)
✓	4.8b	(+.f64 (*.f64 x (/.f64 y z)) x)

Compiler

Compiled 5117 to 1506 computations (70.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (cbrt.f64 y) z)
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)
✓	4.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

series302.0ms (8%)

Counts

4 → 84

Calls

4 calls:

211.0ms	(/.f64 (cbrt.f64 y) z)
36.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
29.0ms	(cbrt.f64 y)
26.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
40×	`cbrt-prod_binary64`
36×	`times-frac_binary64`

Counts

4 → 145

Calls

4 calls:

10.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms	(/.f64 (cbrt.f64 y) z)
1.0ms	(cbrt.f64 y)

simplify114.0ms (3%)

Algorithm

1×	egg-herbie

Rules

551×	`unswap-sqr_binary64`
512×	`times-frac_binary64`
338×	`log-prod_binary64`
320×	`associate-l_binary64`
269×	`associate-r_binary64`

Counts

229 → 205

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	2488
1	369	2149
2	1642	2089
3	3165	2035
4	4597	2035
5	4933	2035

prune161.0ms (4.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	241	8	249

Error

Counts

249 → 8

Alt Table

Status	Error	Program
	5.1b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z)))) (cbrt.f64 (/.f64 y z))) x)
	12.1b	(/.f64 (*.f64 x (+.f64 y z)) z)
	4.7b	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) x)
	30.9b	(+.f64 (.f64 (.f64 x (/.f64 1 (sqrt.f64 z))) (/.f64 y (sqrt.f64 z))) x)
✓	3.4b	(+.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z))) x)
	32.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) z)) x)
✓	3.7b	(+.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z)) x)
✓	4.8b	(+.f64 (*.f64 x (/.f64 y z)) x)

Compiler

Compiled 4818 to 1334 computations (72.3% saved)

regimes182.0ms (4.8%)

Accuracy

Total 0.3b remaining (94.9%)

Threshold costs 0.3b (94.9%)

Counts

25 → 5

Compiler

Compiled 1548 to 862 computations (44.3% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	28	108
2	28	108

end90.0ms (2.4%)

Compiler: Compiled 271 to 109 computations (59.8% saved)

Details

analyze547.0ms (14.4%)

sample1.1s (28.8%)

simplify172.0ms (4.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series13.0ms (0.4%)

rewrite1.0ms (0%)

simplify73.0ms (1.9%)

prune11.0ms (0.3%)

localize4.0ms (0.1%)

series25.0ms (0.6%)

rewrite10.0ms (0.3%)

simplify73.0ms (1.9%)

prune48.0ms (1.3%)

localize8.0ms (0.2%)

series500.0ms (13.2%)

rewrite29.0ms (0.8%)

simplify113.0ms (3%)

prune177.0ms (4.7%)

localize8.0ms (0.2%)

series302.0ms (8%)

rewrite26.0ms (0.7%)

simplify114.0ms (3%)

prune161.0ms (4.2%)

regimes182.0ms (4.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end90.0ms (2.4%)

Profiling