Details

analyze2.3s (18.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample68.0ms (0.5%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
5.0ms	59×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify197.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1483×	`associate-/l/_binary64`
1068×	`associate-/l*_binary64`
1015×	`associate-/r/_binary64`
675×	`*-commutative_binary64`
404×	`sqr-pow_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	41	7
3	91	7
4	366	7
5	1228	7
6	1212	7
7	1225	7
8	1238	7
9	1245	7
10	1252	7
11	1259	7
12	1266	7
13	1273	7
14	1280	7
15	1287	7
16	1294	7
17	1301	7
18	1308	7
19	1315	7
20	1322	7
21	3032	7
22	2753	7
23	2781	7
24	2833	7
25	2977	7
26	3074	7
27	3494	7
28	3743	7
29	4033	7
30	4473	7
31	5028	7

prune6.0ms (0%)

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

6.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	6.4b	(*.f64 x (/.f64 y z))
	15.8b	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))

Compiler

Compiled 62 to 37 computations (40.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.1b	(*.f64 x (/.f64 y z))

series27.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

27.0ms

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

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

8.0ms

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

simplify171.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

736×	`fabs-mul_binary64`
732×	`sqr-pow_binary64`
503×	`pow-sqr_binary64`
384×	`associate-/l/_binary64`
307×	`unswap-sqr_binary64`

Counts

70 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	642
1	162	597
2	526	597
3	1312	597
4	2135	597
5	2239	597
6	2445	597
7	2751	597
8	3643	597
9	4500	597
10	4489	597
11	5931	597

prune70.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Error

0.0b

Counts

52 → 8

Alt Table

Status	Error	Program
	6.2b	(.f64 (.f64 x y) (/.f64 1 z))
	7.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (cbrt.f64 (.f64 x (/.f64 y z)))) (cbrt.f64 (*.f64 x (/.f64 y z))))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
✓	6.4b	(*.f64 x (/.f64 y z))
	37.9b	(.f64 (.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
▶	2.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)))
	49.8b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
	6.1b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 769 to 284 computations (63.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.5b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 z)
✓	2.3b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series2.5s (20.2%)

Counts

4 → 72

Calls

4 calls:

2.3s	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
68.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
57.0ms	(cbrt.f64 z)
57.0ms	(cbrt.f64 y)

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
24×	`add-exp-log_binary64`
22×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

4 → 100

Calls

4 calls:

18.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
9.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 y)

simplify180.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-*l/_binary64`
774×	`fma-def_binary64`
371×	`fma-neg_binary64`
245×	`unswap-sqr_binary64`
188×	`associate-/r/_binary64`

Counts

172 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2641
1	385	1963
2	1420	1783
3	4099	1777
4	4957	1777
5	5012	1777

prune225.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	225	9	234

Error

0.0b

Counts

234 → 9

Alt Table

Status	Error	Program
	6.2b	(.f64 (.f64 x y) (/.f64 1 z))
	7.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (cbrt.f64 (.f64 x (/.f64 y z)))) (cbrt.f64 (*.f64 x (/.f64 y z))))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
✓	6.4b	(*.f64 x (/.f64 y z))
	37.9b	(.f64 (.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓	2.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)))
▶	3.0b	(.f64 (.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)))
	49.8b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
	6.1b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 5645 to 1486 computations (73.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
	0.6b	(cbrt.f64 z)
✓	2.3b	(.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series2.9s (23.2%)

Counts

2 → 48

Calls

2 calls:

2.4s

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

556.0ms

(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`cbrt-unprod_binary64`
16×	`prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`

Counts

2 → 46

Calls

2 calls:

22.0ms

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

5.0ms

(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))

simplify149.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-*r/_binary64`
716×	`associate-*l/_binary64`
402×	`associate-/r*_binary64`
204×	`fma-def_binary64`
173×	`log-prod_binary64`

Counts

94 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2089
1	343	1669
2	1192	1479
3	4326	1467
4	4993	1467

prune321.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	288	9	297

Error

0.0b

Counts

297 → 9

Alt Table

Status	Error	Program
	6.2b	(.f64 (.f64 x y) (/.f64 1 z))
	7.3b	(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (cbrt.f64 (.f64 x (/.f64 y z)))) (cbrt.f64 (*.f64 x (/.f64 y z))))
	34.2b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
✓	6.4b	(*.f64 x (/.f64 y z))
	37.9b	(.f64 (.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 z))) (/.f64 (sqrt.f64 y) (sqrt.f64 z)))
✓	2.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)))
✓	3.0b	(.f64 (.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)))
	49.8b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
▶	6.1b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 11265 to 1935 computations (82.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(/.f64 (*.f64 y x) z)

series23.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

23.0ms

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/r*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1114×	`div-sub_binary64`
994×	`associate-/r/_binary64`
985×	`fma-neg_binary64`
841×	`fma-def_binary64`
355×	`associate-/l*_binary64`

Counts

23 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	261
1	117	216
2	399	216
3	1584	216
4	1842	216
5	1965	216
6	2373	216
7	3409	216
8	4190	216
9	4557	216
10	4731	216

prune39.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	4	1	5
Picked	0	1	1
Done	2	1	3
Total	31	6	37

Error

Counts

37 → 6

Alt Table

Status	Error	Program
	49.8b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
	6.3b	(/.f64 1 (/.f64 z (*.f64 y x)))
	7.1b	(/.f64 y (/.f64 z x))
	6.9b	(*.f64 y (/.f64 x z))
✓	6.4b	(*.f64 x (/.f64 y z))
✓	6.1b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 331 to 127 computations (61.6% saved)

regimes986.0ms (7.9%)

Accuracy

Total 1.5b remaining (99.1%)

Threshold costs 0b (0%)

Counts

36 → 3

Compiler

Compiled 4729 to 2749 computations (41.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	27	61
2	27	61

end14.0ms (0.1%)

Compiler: Compiled 132 to 69 computations (47.7% saved)

sample2.1s (16.4%)

Algorithm

1×

intervals

Results

697.0ms	8000×	body	128	valid
124.0ms	1572×	body	128	invalid

Compiler

Compiled 122 to 76 computations (37.7% saved)

Details

analyze2.3s (18.1%)

sample68.0ms (0.5%)

simplify197.0ms (1.6%)

prune6.0ms (0%)

localize7.0ms (0.1%)

series27.0ms (0.2%)

rewrite11.0ms (0.1%)

simplify171.0ms (1.4%)

prune70.0ms (0.6%)

localize20.0ms (0.2%)

series2.5s (20.2%)

rewrite43.0ms (0.3%)

simplify180.0ms (1.4%)

prune225.0ms (1.8%)

localize26.0ms (0.2%)

series2.9s (23.2%)

rewrite39.0ms (0.3%)

simplify149.0ms (1.2%)

prune321.0ms (2.6%)

localize10.0ms (0.1%)

series23.0ms (0.2%)

rewrite8.0ms (0.1%)

simplify129.0ms (1%)

prune39.0ms (0.3%)

regimes986.0ms (7.9%)

bsearch2.0ms (0%)

simplify9.0ms (0.1%)

end14.0ms (0.1%)

sample2.1s (16.4%)

Profiling