Details

analyze447.0ms (8.2%)

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)

sample208.0ms (3.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify168.0ms (3.1%)

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
	11.8b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	3.1b	(fma.f64 x (/.f64 y z) x)

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(fma.f64 x (/.f64 y z) x)

series13.0ms (0.2%)

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)

simplify75.0ms (1.4%)

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

prune13.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.1b

Counts

26 → 4

Alt Table

Status	Error	Program
	11.8b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	4.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	3.1b	(fma.f64 x (/.f64 y z) x)
	35.4b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 351 to 99 computations (71.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	0.6b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
	2.9b	(fma.f64 x (/.f64 y z) x)

series793.0ms (14.6%)

Counts

3 → 108

Calls

3 calls:

434.0ms

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

344.0ms

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

14.0ms

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

7.0ms

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

5.0ms

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

1.0ms

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

simplify138.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

884×	`times-frac_binary64`
509×	`fma-def_binary64`
305×	`fma-neg_binary64`
168×	`cancel-sign-sub-inv_binary64`
153×	`associate-r_binary64`

Counts

201 → 188

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	5248
1	697	4885
2	1919	4145
3	4758	4117
4	5006	4117

prune169.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	352	8	360

Error

0.0b

Counts

360 → 8

Alt Table

Status	Error	Program
	4.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	4.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	4.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
✓	3.1b	(fma.f64 x (/.f64 y z) x)
	11.8b	(/.f64 (*.f64 x (+.f64 y z)) z)
	29.0b	(.f64 (cbrt.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	35.4b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
▶	4.5b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 12773 to 3458 computations (72.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	0.6b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
	2.9b	(fma.f64 x (/.f64 y z) x)

series772.0ms (14.2%)

Counts

2 → 72

Calls

2 calls:

438.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
334.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

3.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
1.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

884×	`times-frac_binary64`
602×	`associate-/l*_binary64`
515×	`fma-def_binary64`
176×	`cancel-sign-sub-inv_binary64`
173×	`associate-/r/_binary64`

Counts

99 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3736
1	644	3534
2	1717	3062
3	5333	3062

prune263.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	459	1	460
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	460	8	468

Error

0.0b

Counts

468 → 8

Alt Table

Status	Error	Program
	4.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	4.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	4.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
✓	3.1b	(fma.f64 x (/.f64 y z) x)
▶	4.6b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	35.4b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
	11.8b	(/.f64 (*.f64 x (+.f64 y z)) z)
	29.0b	(.f64 (cbrt.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 26039 to 5921 computations (77.3% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	0.6b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))
	2.9b	(fma.f64 x (/.f64 y z) x)

prune426.0ms (7.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	702	0	702
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	702	8	710

Error

0.0b

Counts

710 → 8

Alt Table

Status	Error	Program
	4.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	4.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	4.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))
✓	3.1b	(fma.f64 x (/.f64 y z) x)
✓	4.6b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	35.4b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
	11.8b	(/.f64 (*.f64 x (+.f64 y z)) z)
	29.0b	(.f64 (cbrt.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x))) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 52896 to 9552 computations (81.9% saved)

regimes1.1s (20.2%)

Accuracy

Total 1.0b remaining (96.4%)

Threshold costs 1.0b (96.4%)

Counts

133 → 5

Compiler

Compiled 23584 to 7490 computations (68.2% saved)

bsearch7.0ms (0.1%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`if-not_binary64`
3×	`if-if-or-not_binary64`
3×	`not-not_bool`
3×	`not-or_bool`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	27	90
2	30	84
3	36	82
4	39	82
5	42	82
6	42	82
7	43	82
8	43	82

end1.0ms (0%)

Compiler: Compiled 58 to 22 computations (62.1% saved)

sample667.0ms (12.3%)

Algorithm

1×

intervals

Results

277.0ms	8000×	body	128	valid
28.0ms	755×	body	128	invalid

Compiler

Compiled 324 to 108 computations (66.7% saved)

Details

analyze447.0ms (8.2%)

sample208.0ms (3.8%)

simplify168.0ms (3.1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series13.0ms (0.2%)

rewrite1.0ms (0%)

simplify75.0ms (1.4%)

prune13.0ms (0.2%)

localize9.0ms (0.2%)

series793.0ms (14.6%)

rewrite20.0ms (0.4%)

simplify138.0ms (2.5%)

prune169.0ms (3.1%)

localize13.0ms (0.2%)

series772.0ms (14.2%)

rewrite6.0ms (0.1%)

simplify85.0ms (1.6%)

prune263.0ms (4.9%)

localize19.0ms (0.4%)

prune426.0ms (7.9%)

regimes1.1s (20.2%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample667.0ms (12.3%)

Profiling