Details

analyze458.0ms (9.3%)

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)

sample210.0ms (4.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify171.0ms (3.5%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	4.1b	(fma.f64 x (/.f64 y z) x)
	12.9b	(/.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
✓	3.9b	(fma.f64 x (/.f64 y z) x)

series11.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(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)

simplify93.0ms (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

prune19.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Error

0.0b

Counts

26 → 5

Alt Table

Status	Error	Program
	33.9b	(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) x)) (sqrt.f64 (fma.f64 x (/.f64 y z) x)))
▶	5.4b	(.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)))
	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x)) (fma.f64 x (/.f64 y z) x)))
✓	4.1b	(fma.f64 x (/.f64 y z) x)
	12.9b	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 399 to 115 computations (71.2% saved)

localize7.0ms (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))
	3.9b	(fma.f64 x (/.f64 y z) x)

series791.0ms (16%)

Counts

3 → 108

Calls

3 calls:

430.0ms

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

346.0ms

(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)))

rewrite18.0ms (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)))

4.0ms

(*.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))

simplify146.0ms (3%)

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

prune178.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	355	6	361

Error

0.0b

Counts

361 → 6

Alt Table

Status	Error	Program
▶	5.4b	(.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 (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)))))
	28.5b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 6)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x)) (fma.f64 x (/.f64 y z) x)))
✓	4.1b	(fma.f64 x (/.f64 y z) x)
	12.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
	6.1b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 12589 to 3418 computations (72.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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))
✓	0.6b	(cbrt.f64 (.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))))
	3.9b	(fma.f64 x (/.f64 y z) x)

series349.0ms (7.1%)

Counts

1 → 36

Calls

1 calls:

349.0ms

(cbrt.f64 (*.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))))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`rem-cbrt-cube_binary64`
1×	`pow3_binary64`
1×	`cbrt-prod_binary64`

Counts

1 → 12

Calls

1 calls:

5.0ms

(cbrt.f64 (*.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))))

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-neg_binary64`
465×	`times-frac_binary64`
303×	`associate-/l*_binary64`
289×	`associate-r_binary64`
238×	`associate-/r*_binary64`

Counts

48 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1512
1	328	1446
2	861	1326
3	4093	1076
4	4959	1076
5	4998	1076
6	4987	1076

prune290.0ms (5.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	590	0	590
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	590	6	596

Error

0.0b

Counts

596 → 6

Alt Table

Status	Error	Program
✓	5.4b	(.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 (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)))))
	28.5b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 6)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x)) (fma.f64 x (/.f64 y z) x)))
✓	4.1b	(fma.f64 x (/.f64 y z) x)
	12.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	6.1b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 31407 to 6833 computations (78.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (fma.f64 x (/.f64 y z) x))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)
	3.9b	(fma.f64 x (/.f64 y z) x)

series749.0ms (15.2%)

Counts

2 → 72

Calls

2 calls:

425.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)
324.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`unpow-prod-down_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

2 → 42

Calls

2 calls:

2.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6)
1.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-/l*_binary64`
491×	`associate-/r*_binary64`
422×	`fma-def_binary64`
198×	`associate-/r/_binary64`
180×	`fma-neg_binary64`

Counts

114 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	3825
1	629	3631
2	1752	3350
3	4998	3338
4	5059	3338

prune138.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	258	1	259
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	258	7	265

Error

0.0b

Counts

265 → 7

Alt Table

Status	Error	Program
✓	5.4b	(.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 (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)))))
	28.5b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) 6)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
	38.7b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (/.f64 y z) x) (fma.f64 x (/.f64 y z) x)) (fma.f64 x (/.f64 y z) x)))
✓	4.1b	(fma.f64 x (/.f64 y z) x)
	12.9b	(/.f64 (*.f64 x (+.f64 y z)) z)
	6.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)) (cbrt.f64 (fma.f64 x (/.f64 y z) x))))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x)))) 6)) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))
✓	6.1b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 x (/.f64 y z) x)))

Compiler

Compiled 8855 to 3411 computations (61.5% saved)

regimes330.0ms (6.7%)

Accuracy

Total 0.2b remaining (85.1%)

Threshold costs 0.2b (85.1%)

Counts

42 → 5

Compiler

Compiled 3972 to 1714 computations (56.8% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (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)

sample710.0ms (14.4%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
30.0ms	761×	body	128	invalid

Compiler

Compiled 242 to 98 computations (59.5% saved)

Details

analyze458.0ms (9.3%)

sample210.0ms (4.3%)

simplify171.0ms (3.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series11.0ms (0.2%)

rewrite1.0ms (0%)

simplify93.0ms (1.9%)

prune19.0ms (0.4%)

localize7.0ms (0.2%)

series791.0ms (16%)

rewrite18.0ms (0.4%)

simplify146.0ms (3%)

prune178.0ms (3.6%)

localize10.0ms (0.2%)

series349.0ms (7.1%)

rewrite6.0ms (0.1%)

simplify97.0ms (2%)

prune290.0ms (5.9%)

localize9.0ms (0.2%)

series749.0ms (15.2%)

rewrite5.0ms (0.1%)

simplify116.0ms (2.4%)

prune138.0ms (2.8%)

regimes330.0ms (6.7%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample710.0ms (14.4%)

Profiling