Details

analyze1.1s (21.1%)

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
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)

sample41.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	71×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify10.0ms (0.2%)

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

prune1.0ms (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

11.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	11.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

11.5b

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

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

4.0ms

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

Compiler

Compiled 295 to 77 computations (73.9% saved)

series38.0ms (0.7%)

Error

11.9b

Counts

1 → 12

Calls

1 calls:

37.0ms

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

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify82.0ms (1.6%)

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

prune15.0ms (0.3%)

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
✓	11.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	30.2b	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1))) (sqrt.f64 (/.f64 (.f64 a1 a2) (*.f64 b2 b1))))
▶	12.0b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	12.0b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
	12.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 265 to 123 computations (53.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 1 (*.f64 b2 b1))
11.3b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))

rewrite56.0ms (1.1%)

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:

8.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
3.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 957 to 403 computations (57.9% saved)

series44.0ms (0.8%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

31.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
12.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 440 to 286 computations (35% saved)

simplify120.0ms (2.3%)

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 → 52

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1005
1	204	810
2	726	810
3	2673	810
4	3114	810
5	3857	810
6	4870	810
7	4943	810
8	5092	810

prune16.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	52	6	58

Error

0.1b

Counts

58 → 6

Alt Table

Status	Error	Program
	12.2b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
✓	11.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	32.2b	(.f64 (.f64 a1 a2) (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 b2 b1)) 3)))
▶	11.0b	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))
	12.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 346 to 163 computations (52.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.3b	(/.f64 (*.f64 a1 a2) b2)
6.2b	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`times-frac_binary64`
17×	`prod-exp_binary64`

Counts

2 → 75

Calls

2 calls:

10.0ms	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))
3.0ms	(/.f64 (*.f64 a1 a2) b2)

Compiler

Compiled 1176 to 473 computations (59.8% saved)

series62.0ms (1.2%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

34.0ms	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))
26.0ms	(/.f64 (*.f64 a1 a2) b2)

Compiler

Compiled 518 to 341 computations (34.2% saved)

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

807×	`times-frac_binary64`
389×	`associate-/l/_binary64`
308×	`unswap-sqr_binary64`
282×	`sqr-pow_binary64`
253×	`*-commutative_binary64`

Counts

96 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	1272
1	288	1050
2	1049	1050
3	3106	1050
4	3665	1050
5	4302	1050
6	5135	1050

prune22.0ms (0.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	53	9	62

Error

0.0b

Counts

62 → 9

Alt Table

Status	Error	Program
✓	11.0b	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))
	22.2b	(*.f64 (/.f64 a1 (sqrt.f64 b2)) (/.f64 (/.f64 a2 (sqrt.f64 b2)) b1))
	12.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	11.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) b2)) (cbrt.f64 (/.f64 (.f64 a1 a2) b2))) (/.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b2)) b1))
	12.2b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
✓	11.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	11.3b	(.f64 (.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
	32.2b	(.f64 (.f64 a1 a2) (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 b2 b1)) 3)))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 624 to 256 computations (59% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.3b	(*.f64 a1 (/.f64 a2 b2))
6.2b	(.f64 (.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))

rewrite66.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-exp-log_binary64`
28×	`add-cbrt-cube_binary64`
26×	`associate-r_binary64`
22×	`add-sqr-sqrt_binary64`
22×	`prod-exp_binary64`

Counts

2 → 78

Calls

2 calls:

10.0ms	(.f64 (.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
5.0ms	(*.f64 a1 (/.f64 a2 b2))

Compiler

Compiled 1203 to 493 computations (59% saved)

series58.0ms (1.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

31.0ms	(.f64 (.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
26.0ms	(*.f64 a1 (/.f64 a2 b2))

Compiler

Compiled 518 to 341 computations (34.2% saved)

simplify146.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

451×	`associate-/l*_binary64`
321×	`unswap-sqr_binary64`
308×	`*-commutative_binary64`
296×	`sqr-pow_binary64`
286×	`pow-sqr_binary64`

Counts

99 → 61

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	1235
1	306	1040
2	1092	1040
3	2569	1040
4	3035	1040
5	3774	1040
6	4776	1040
7	4746	1040
8	4826	1040
9	4965	1040

prune29.0ms (0.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	59	11	70

Error

0.0b

Counts

70 → 11

Alt Table

Status	Error	Program
	51.7b	(.f64 (.f64 (sqrt.f64 a1) (*.f64 (/.f64 a2 b2) (sqrt.f64 a1))) (/.f64 1 b1))
	32.2b	(.f64 (.f64 a1 a2) (cbrt.f64 (pow.f64 (/.f64 1 (*.f64 b2 b1)) 3)))
	11.0b	(.f64 (/.f64 (.f64 a1 a2) b2) (/.f64 1 b1))
	22.2b	(*.f64 (/.f64 a1 (sqrt.f64 b2)) (/.f64 (/.f64 a2 (sqrt.f64 b2)) b1))
	12.1b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	11.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) b2)) (cbrt.f64 (/.f64 (.f64 a1 a2) b2))) (/.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) b2)) b1))
	12.2b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	11.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	11.3b	(.f64 (.f64 a1 (/.f64 a2 b2)) (/.f64 1 b1))
	10.3b	(.f64 (.f64 (.f64 a1 (.f64 (cbrt.f64 a2) (cbrt.f64 a2))) (/.f64 (cbrt.f64 a2) b2)) (/.f64 1 b1))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 624 to 270 computations (56.7% saved)

regimes1.7s (33.1%)

Accuracy

Total 3.7b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 9519 to 5660 computations (40.5% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	120
1	39	120
2	38	120

end34.0ms (0.7%)

Compiler: Compiled 425 to 155 computations (63.5% saved)

sample1.3s (25.4%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
62.0ms	1898×	body	128	invalid

Compiler

Compiled 265 to 143 computations (46% saved)

Details

analyze1.1s (21.1%)

sample41.0ms (0.8%)

simplify10.0ms (0.2%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite24.0ms (0.5%)

series38.0ms (0.7%)

simplify82.0ms (1.6%)

prune15.0ms (0.3%)

localize6.0ms (0.1%)

rewrite56.0ms (1.1%)

series44.0ms (0.8%)

simplify120.0ms (2.3%)

prune16.0ms (0.3%)

localize6.0ms (0.1%)

rewrite59.0ms (1.1%)

series62.0ms (1.2%)

simplify101.0ms (1.9%)

prune22.0ms (0.4%)

localize6.0ms (0.1%)

rewrite66.0ms (1.3%)

series58.0ms (1.1%)

simplify146.0ms (2.8%)

prune29.0ms (0.6%)

regimes1.7s (33.1%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end34.0ms (0.7%)

sample1.3s (25.4%)

Profiling