Details

analyze1.8s (25%)

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample74.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
4.0ms	70×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	63	10
4	69	10
5	68	10
6	68	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

10.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.0b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
4×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
4×	`div-exp_binary64`

Counts

1 → 21

Calls

1 calls:

8.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 295 to 77 computations (73.9% saved)

series64.0ms (0.9%)

Error

10.3b

Counts

1 → 12

Calls

1 calls:

63.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
476×	`associate-l_binary64`
457×	`associate-*l/_binary64`
355×	`associate-*r/_binary64`
344×	`associate-r_binary64`

Counts

33 → 18

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	475
1	159	370
2	818	370
3	3796	370
4	4099	370
5	4405	370
6	4893	370
7	5221	370

prune28.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Error

0.1b

Counts

19 → 6

Alt Table

Status	Error	Program
	11.0b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1))) (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))) (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1))))
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	13.5b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.6b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	10.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
▶	10.5b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))

Compiler

Compiled 283 to 125 computations (55.8% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
9.9b	(/.f64 (.f64 b2 b1) (.f64 a1 a2))

rewrite129.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
26×	`div-exp_binary64`
20×	`times-frac_binary64`
16×	`prod-exp_binary64`

Counts

2 → 77

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
8.0ms	(/.f64 (.f64 b2 b1) (.f64 a1 a2))

Compiler

Compiled 1259 to 410 computations (67.4% saved)

series131.0ms (1.8%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

67.0ms	(/.f64 (.f64 b2 b1) (.f64 a1 a2))
60.0ms	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))

Compiler

Compiled 596 to 394 computations (33.9% saved)

simplify148.0ms (2%)

Algorithm

1×	egg-herbie

Rules

566×	`associate-*l/_binary64`
563×	`associate-l_binary64`
513×	`associate-r_binary64`
440×	`associate-*r/_binary64`
401×	`associate-/r/_binary64`

Counts

101 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	1716
1	215	1294
2	1068	1273
3	4660	1273
4	4988	1273
5	4985	1273

prune49.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	79	10	89

Error

0.0b

Counts

89 → 10

Alt Table

Status	Error	Program
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))) (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))))) (/.f64 1 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))))
	13.5b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.6b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	12.6b	(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
	10.6b	(/.f64 1 (/.f64 (*.f64 (/.f64 b2 a1) b1) a2))
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	10.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
✓	10.5b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
	14.1b	(/.f64 1 (/.f64 b2 (/.f64 a1 (/.f64 b1 a2))))
	13.0b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

Compiler

Compiled 528 to 238 computations (54.9% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (*.f64 b2 b1))
9.7b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))

rewrite102.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-exp-log_binary64`
30×	`prod-exp_binary64`
28×	`add-cbrt-cube_binary64`
12×	`cbrt-unprod_binary64`
12×	`div-exp_binary64`

Counts

2 → 68

Calls

2 calls:

14.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
6.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 957 to 403 computations (57.9% saved)

series86.0ms (1.2%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

61.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
22.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 440 to 286 computations (35% saved)

simplify181.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

423×	`associate-*r/_binary64`
401×	`associate-*l/_binary64`
345×	`unswap-sqr_binary64`
309×	`associate-/l*_binary64`
306×	`sqr-pow_binary64`

Counts

86 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1023
1	204	828
2	726	828
3	2673	828
4	3114	828
5	3857	828
6	4870	828
7	4943	828
8	5092	828

prune36.0ms (0.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	59	9	68

Error

0.0b

Counts

68 → 9

Alt Table

Status	Error	Program
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))) (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))))) (/.f64 1 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))))
	13.5b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.6b	(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
✓	10.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
✓	10.5b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
▶	10.2b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	14.1b	(/.f64 1 (/.f64 b2 (/.f64 a1 (/.f64 b1 a2))))
	13.0b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

Compiler

Compiled 430 to 199 computations (53.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.5b	(/.f64 a2 (*.f64 b2 b1))
6.6b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
5.0ms	(/.f64 a2 (*.f64 b2 b1))

Compiler

Compiled 606 to 154 computations (74.6% saved)

series110.0ms (1.5%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

64.0ms	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
43.0ms	(/.f64 a2 (*.f64 b2 b1))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify173.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac_binary64`
492×	`associate-l_binary64`
425×	`associate-*r/_binary64`
417×	`associate-*l/_binary64`
415×	`associate-r_binary64`

Counts

69 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	858
1	190	729
2	734	729
3	3955	729
4	4324	729
5	4873	729
6	4889	729
7	5147	729

prune27.0ms (0.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	33	11	44

Error

0.0b

Counts

44 → 11

Alt Table

Status	Error	Program
	11.1b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))) (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2))))) (/.f64 1 (cbrt.f64 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))))
	29.8b	(.f64 a1 (cbrt.f64 (pow.f64 (/.f64 a2 (.f64 b2 b1)) 3)))
	13.5b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.9b	(*.f64 a1 (/.f64 1 (/.f64 b2 (/.f64 a2 b1))))
	13.0b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.6b	(/.f64 (/.f64 a1 b2) (/.f64 b1 a2))
✓	10.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
✓	10.5b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
✓	10.2b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	14.1b	(/.f64 1 (/.f64 b2 (/.f64 a1 (/.f64 b1 a2))))

Compiler

Compiled 347 to 152 computations (56.2% saved)

regimes2.5s (33.9%)

Accuracy

Total 2.0b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 7146 to 4122 computations (42.3% saved)

bsearch3.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`if-if-or-not_binary64`
2×	`not-or`
1×	`1-exp_binary64`
1×	`if-not_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	105
1	37	97
2	40	97
3	43	95
4	43	95
5	44	95
6	43	95

end72.0ms (1%)

Remove: (sort a1 a2)
Compiler: Compiled 476 to 196 computations (58.8% saved)

sample1.3s (17.6%)

Algorithm

1×

intervals

Results

316.0ms	8000×	body	128	valid
81.0ms	1900×	body	128	invalid

Compiler

Compiled 239 to 135 computations (43.5% saved)

Details

analyze1.8s (25%)

sample74.0ms (1%)

simplify20.0ms (0.3%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite41.0ms (0.6%)

series64.0ms (0.9%)

simplify108.0ms (1.5%)

prune28.0ms (0.4%)

localize12.0ms (0.2%)

rewrite129.0ms (1.8%)

series131.0ms (1.8%)

simplify148.0ms (2%)

prune49.0ms (0.7%)

localize12.0ms (0.2%)

rewrite102.0ms (1.4%)

series86.0ms (1.2%)

simplify181.0ms (2.5%)

prune36.0ms (0.5%)

localize10.0ms (0.1%)

rewrite74.0ms (1%)

series110.0ms (1.5%)

simplify173.0ms (2.4%)

prune27.0ms (0.4%)

regimes2.5s (33.9%)

bsearch3.0ms (0%)

simplify12.0ms (0.2%)

end72.0ms (1%)

sample1.3s (17.6%)

Profiling