Details

analyze1.0s (23.5%)

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 (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	75×	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

13.2b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.2b	(/.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:

12.9b

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

rewrite22.0ms (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)

series33.0ms (0.8%)

Error

13.2b

Counts

1 → 12

Calls

1 calls:

33.0ms

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

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify84.0ms (1.9%)

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

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Error

0.1b

Counts

19 → 7

Alt Table

Status	Error	Program
✓	13.2b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	13.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
▶	10.4b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	29.4b	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1))) (sqrt.f64 (/.f64 (.f64 a1 a2) (*.f64 b2 b1))))
	13.8b	(.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))))
	13.4b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
	13.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))

Compiler

Compiled 325 to 143 computations (56% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.6b	(*.f64 a2 (/.f64 a1 b1))
7.0b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
13×	`associate-r_binary64`
13×	`times-frac_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
4.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

Compiler

Compiled 740 to 212 computations (71.4% saved)

series49.0ms (1.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

31.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
17.0ms	(*.f64 a2 (/.f64 a1 b1))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

863×	`times-frac_binary64`
557×	`associate-*l/_binary64`
519×	`associate-/l/_binary64`
446×	`associate-*r/_binary64`
280×	`associate-/r/_binary64`

Counts

77 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	929
1	264	800
2	1017	800
3	3913	800
4	4247	800
5	4817	800
6	5045	800

prune23.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	36	9	45

Error

0.0b

Counts

45 → 9

Alt Table

Status	Error	Program
	23.1b	(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
	13.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓	10.4b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	25.4b	(/.f64 (.f64 (sqrt.f64 a2) (.f64 (/.f64 a1 b1) (sqrt.f64 a2))) b2)
	13.8b	(.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))))
	13.4b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
▶	12.2b	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
	13.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	14.1b	(/.f64 (.f64 (.f64 a1 a2) (/.f64 1 b1)) b2)

Compiler

Compiled 559 to 244 computations (56.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.9b	(/.f64 a1 (*.f64 b2 b1))
6.8b	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))

rewrite40.0ms (0.9%)

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:

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

Compiler

Compiled 606 to 154 computations (74.6% saved)

series54.0ms (1.2%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

29.0ms	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
20.0ms	(/.f64 a1 (*.f64 b2 b1))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify105.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
466×	`associate-l_binary64`
433×	`associate-*l/_binary64`
425×	`associate-*r/_binary64`
383×	`associate-r_binary64`

Counts

69 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	831
1	192	702
2	739	702
3	3815	702
4	4162	702
5	4668	702
6	4968	702
7	4988	702

prune17.0ms (0.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	28	9	37

Error

0.0b

Counts

37 → 9

Alt Table

Status	Error	Program
	25.4b	(/.f64 (.f64 (sqrt.f64 a2) (.f64 (/.f64 a1 b1) (sqrt.f64 a2))) b2)
▶	11.4b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
	23.1b	(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
	13.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓	10.4b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	13.4b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
✓	12.2b	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
	13.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	14.1b	(/.f64 (.f64 (.f64 a1 a2) (/.f64 1 b1)) b2)

Compiler

Compiled 405 to 192 computations (52.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.1b

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

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

1 → 50

Calls

1 calls:

9.0ms

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

Compiler

Compiled 730 to 192 computations (73.7% saved)

series31.0ms (0.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

31.0ms

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

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify142.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

669×	`associate-*l/_binary64`
565×	`associate-*r/_binary64`
498×	`associate-l_binary64`
468×	`associate-/l*_binary64`
386×	`associate-r_binary64`

Counts

62 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	911
1	306	803
2	959	803
3	3784	803
4	4028	803
5	4514	803
6	4850	803
7	4910	803
8	4953	803
9	4987	803

prune18.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	38	9	47

Error

0.0b

Counts

47 → 9

Alt Table

Status	Error	Program
	12.2b	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
	12.8b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
	23.1b	(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
	13.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	10.4b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	11.4b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
	13.4b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
	13.5b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	14.1b	(/.f64 (.f64 (.f64 a1 a2) (/.f64 1 b1)) b2)

Compiler

Compiled 505 to 180 computations (64.4% saved)

regimes835.0ms (19.2%)

Accuracy

Total 4.8b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 6396 to 3544 computations (44.6% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	146
1	44	146
2	44	146

end36.0ms (0.8%)

Compiler: Compiled 490 to 180 computations (63.3% saved)

sample1.6s (36.1%)

Algorithm

1×

intervals

Results

467.0ms	8000×	body	128	valid
142.0ms	1878×	body	128	invalid

Compiler

Compiled 223 to 119 computations (46.6% saved)

Details

analyze1.0s (23.5%)

sample41.0ms (0.9%)

simplify10.0ms (0.2%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series33.0ms (0.8%)

simplify84.0ms (1.9%)

prune15.0ms (0.3%)

localize5.0ms (0.1%)

rewrite46.0ms (1%)

series49.0ms (1.1%)

simplify92.0ms (2.1%)

prune23.0ms (0.5%)

localize5.0ms (0.1%)

rewrite40.0ms (0.9%)

series54.0ms (1.2%)

simplify105.0ms (2.4%)

prune17.0ms (0.4%)

localize5.0ms (0.1%)

rewrite37.0ms (0.8%)

series31.0ms (0.7%)

simplify142.0ms (3.3%)

prune18.0ms (0.4%)

regimes835.0ms (19.2%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end36.0ms (0.8%)

sample1.6s (36.1%)

Profiling