Details

analyze497.0ms (13.4%)

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 (28.5%)

Results

792.0ms	8256×	body	128	valid
70.0ms	775×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify165.0ms (4.4%)

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
▶	3.6b	(fma.f64 x (/.f64 y z) x)
	10.9b	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(fma.f64 x (/.f64 y z) x)

series13.0ms (0.3%)

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 (2%)

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

prune15.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Alt Table

Status	Error	Program
✓	3.6b	(fma.f64 x (/.f64 y z) x)
▶	5.2b	(+.f64 (/.f64 (*.f64 y x) z) x)
	33.3b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
	40.3b	(cbrt.f64 (pow.f64 (fma.f64 (/.f64 y z) x x) 3))

Compiler

Compiled 323 to 99 computations (69.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y x) z) x)
✓	6.8b	(/.f64 (*.f64 y x) z)

series27.0ms (0.7%)

Counts

2 → 18

Calls

2 calls:

15.0ms	(/.f64 (*.f64 y x) z)
12.0ms	(+.f64 (/.f64 (*.f64 y x) z) x)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
7×	`fma-def_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`times-frac_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(+.f64 (/.f64 (*.f64 y x) z) x)
3.0ms	(/.f64 (*.f64 y x) z)

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-def_binary64`
391×	`associate-/l*_binary64`
377×	`*-commutative_binary64`
368×	`times-frac_binary64`
344×	`fma-neg_binary64`

Counts

62 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	603
1	191	582
2	575	526
3	2318	525
4	4124	525
5	4884	525
6	4948	525

prune43.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	69	5	74

Error

Counts

74 → 5

Alt Table

Status	Error	Program
▶	3.6b	(*.f64 1 (fma.f64 x (/.f64 y z) x))
	4.2b	(fma.f64 (/.f64 y 1) (/.f64 x z) x)
	3.8b	(+.f64 (/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) x)
	4.2b	(+.f64 (/.f64 y (/.f64 z x)) x)
	5.2b	(+.f64 (/.f64 1 (/.f64 z (*.f64 y x))) x)

Compiler

Compiled 970 to 301 computations (69% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	3.4b	(fma.f64 x (/.f64 y z) x)

prune20.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Error

Counts

29 → 5

Alt Table

Status	Error	Program
✓	3.6b	(*.f64 1 (fma.f64 x (/.f64 y z) x))
	4.2b	(fma.f64 (/.f64 y 1) (/.f64 x z) x)
▶	3.8b	(+.f64 (/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) x)
	4.2b	(+.f64 (/.f64 y (/.f64 z x)) x)
	5.2b	(+.f64 (/.f64 1 (/.f64 z (*.f64 y x))) x)

Compiler

Compiled 393 to 167 computations (57.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)
✓	2.0b	(/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
✓	3.7b	(.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))))

series1.0s (27.7%)

Counts

4 → 96

Calls

4 calls:

917.0ms	(.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))))
43.0ms	(/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
37.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
33.0ms	(cbrt.f64 z)

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
25×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`

Counts

4 → 119

Calls

4 calls:

9.0ms	(.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z))))
6.0ms	(/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

595×	`fma-def_binary64`
519×	`associate-/r/_binary64`
411×	`fma-neg_binary64`
336×	`unswap-sqr_binary64`
328×	`*-commutative_binary64`

Counts

215 → 183

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2994
1	327	2195
2	1498	2142
3	2718	2103
4	4322	2103
5	4969	2103

prune126.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	219	5	224

Error

Counts

224 → 5

Alt Table

Status	Error	Program
✓	3.6b	(*.f64 1 (fma.f64 x (/.f64 y z) x))
	4.2b	(fma.f64 (/.f64 y 1) (/.f64 x z) x)
✓	3.8b	(+.f64 (/.f64 (.f64 x (/.f64 y (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z)) x)
	4.2b	(+.f64 (/.f64 y (/.f64 z x)) x)
	5.2b	(+.f64 (/.f64 1 (/.f64 z (*.f64 y x))) x)

Compiler

Compiled 4115 to 1324 computations (67.8% saved)

regimes284.0ms (7.6%)

Accuracy

Total 1.7b remaining (99.3%)

Threshold costs 0b (0%)

Counts

39 → 4

Compiler

Compiled 1880 to 1106 computations (41.2% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	86
1	41	86
2	40	86

end104.0ms (2.8%)

Compiler: Compiled 185 to 93 computations (49.7% saved)

Details

analyze497.0ms (13.4%)

sample1.1s (28.5%)

simplify165.0ms (4.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series13.0ms (0.3%)

rewrite1.0ms (0%)

simplify73.0ms (2%)

prune15.0ms (0.4%)

localize4.0ms (0.1%)

series27.0ms (0.7%)

rewrite10.0ms (0.3%)

simplify69.0ms (1.8%)

prune43.0ms (1.2%)

localize5.0ms (0.1%)

prune20.0ms (0.5%)

localize9.0ms (0.2%)

series1.0s (27.7%)

rewrite28.0ms (0.8%)

simplify119.0ms (3.2%)

prune126.0ms (3.4%)

regimes284.0ms (7.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end104.0ms (2.8%)

Profiling