Details

analyze1.1s (22.2%)

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)

sample42.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	56×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify12.0ms (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

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

8.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	8.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.2b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
5×	`add-cube-cbrt_binary64`
4×	`times-frac_binary64`
4×	`prod-exp_binary64`

Counts

1 → 46

Calls

1 calls:

15.0ms

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

Compiler

Compiled 470 to 104 computations (77.9% saved)

series33.0ms (0.7%)

Error

8.4b

Counts

1 → 12

Calls

1 calls:

32.0ms

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

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-/l*_binary64`
382×	`associate-l_binary64`
354×	`div-exp_binary64`
324×	`prod-exp_binary64`
299×	`associate-*l/_binary64`

Counts

58 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	613
1	149	529
2	555	529
3	3304	529
4	4923	529
5	5121	529

prune24.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Error

0.1b

Counts

29 → 7

Alt Table

Status	Error	Program
✓	8.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	12.3b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.4b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
▶	8.8b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	8.9b	(/.f64 1 (/.f64 (.f64 b2 b1) (.f64 a1 a2)))
	23.5b	(.f64 (cbrt.f64 (.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)) (/.f64 (.f64 a1 a2) (.f64 b2 b1)))) (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1))))
	9.0b	(.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))))

Compiler

Compiled 493 to 180 computations (63.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (*.f64 b2 b1))
8.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))

rewrite88.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64`
14×	`add-cube-cbrt_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`

Counts

2 → 96

Calls

2 calls:

16.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
15.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 1129 to 521 computations (53.9% saved)

series43.0ms (0.9%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

29.0ms	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
12.0ms	(/.f64 1 (*.f64 b2 b1))

Compiler

Compiled 440 to 286 computations (35% saved)

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

668×	`times-frac_binary64`
508×	`associate-*l/_binary64`
422×	`associate-*r/_binary64`
248×	`associate-/l*_binary64`
240×	`log-div_binary64`

Counts

114 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	987
1	230	892
2	883	880
3	3956	880
4	4991	880

prune26.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	45	9	54

Error

0.0b

Counts

54 → 9

Alt Table

Status	Error	Program
▶	9.0b	(.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))))
	10.0b	(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)
✓	8.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	12.3b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.4b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓	8.8b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	19.8b	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (pow.f64 (.f64 b2 b1) -2)) (cbrt.f64 (/.f64 1 (*.f64 b2 b1)))))
	9.8b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	13.9b	(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))

Compiler

Compiled 556 to 247 computations (55.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.2b	(/.f64 (.f64 a1 a2) (.f64 b2 b1))
16.8b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
16.8b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
16.8b	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))

rewrite127.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-cube-cbrt_binary64`
16×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`pow1/3_binary64`

Counts

4 → 151

Calls

4 calls:

15.0ms	(/.f64 (.f64 a1 a2) (.f64 b2 b1))
12.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
11.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
10.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))

Compiler

Compiled 3374 to 443 computations (86.9% saved)

series315.0ms (6.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

89.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
88.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
87.0ms	(cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b2 b1)))
33.0ms	(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Compiler

Compiled 4530 to 1958 computations (56.8% saved)

simplify132.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-/l*_binary64`
440×	`associate-l_binary64`
335×	`associate-r_binary64`
266×	`fma-def_binary64`
257×	`associate-*l/_binary64`

Counts

199 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2553
1	329	2417
2	863	2237
3	4454	2127
4	4988	2127
5	4989	2127

prune51.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	120	9	129

Error

0.0b

Counts

129 → 9

Alt Table

Status	Error	Program
✓	9.0b	(.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))))
	10.0b	(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)
✓	8.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	12.3b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.4b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓	8.8b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	19.8b	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (pow.f64 (.f64 b2 b1) -2)) (cbrt.f64 (/.f64 1 (*.f64 b2 b1)))))
▶	9.8b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	13.9b	(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))

Compiler

Compiled 2350 to 463 computations (80.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.5b	(/.f64 a2 (*.f64 b2 b1))
7.3b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))

rewrite85.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64`
15×	`pow1_binary64`
15×	`add-cube-cbrt_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cbrt-cube_binary64`

Counts

2 → 92

Calls

2 calls:

16.0ms	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
15.0ms	(/.f64 a2 (*.f64 b2 b1))

Compiler

Compiled 940 to 233 computations (75.2% saved)

series55.0ms (1.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

33.0ms	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
21.0ms	(/.f64 a2 (*.f64 b2 b1))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-*l/_binary64`
547×	`associate-/l*_binary64`
478×	`associate-*r/_binary64`
305×	`div-exp_binary64`
301×	`associate-/r*_binary64`

Counts

113 → 38

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	1034
1	207	914
2	837	914
3	4204	914
4	5407	914

prune21.0ms (0.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	39	8	47

Error

0.0b

Counts

47 → 8

Alt Table

Status	Error	Program
	13.7b	(*.f64 a1 (/.f64 (/.f64 a2 b1) b2))
	8.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	12.3b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	12.4b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	8.8b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b2 b1)))
	19.8b	(.f64 (.f64 a1 a2) (.f64 (cbrt.f64 (pow.f64 (.f64 b2 b1) -2)) (cbrt.f64 (/.f64 1 (*.f64 b2 b1)))))
	9.8b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	10.0b	(/.f64 (*.f64 (/.f64 a1 b2) a2) b1)

Compiler

Compiled 400 to 157 computations (60.8% saved)

regimes1.0s (21.3%)

Accuracy

Total 4.1b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 7463 to 4377 computations (41.4% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	85
1	27	85
2	27	85

end39.0ms (0.8%)

Compiler: Compiled 310 to 105 computations (66.1% saved)

sample1.4s (27.7%)

Algorithm

1×

intervals

Results

308.0ms	8000×	body	128	valid
83.0ms	1784×	body	128	invalid

Compiler

Compiled 178 to 98 computations (44.9% saved)

Details

analyze1.1s (22.2%)

sample42.0ms (0.8%)

simplify12.0ms (0.3%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite51.0ms (1%)

series33.0ms (0.7%)

simplify72.0ms (1.5%)

prune24.0ms (0.5%)

localize9.0ms (0.2%)

rewrite88.0ms (1.8%)

series43.0ms (0.9%)

simplify87.0ms (1.8%)

prune26.0ms (0.5%)

localize11.0ms (0.2%)

rewrite127.0ms (2.6%)

series315.0ms (6.4%)

simplify132.0ms (2.7%)

prune51.0ms (1%)

localize6.0ms (0.1%)

rewrite85.0ms (1.7%)

series55.0ms (1.1%)

simplify76.0ms (1.5%)

prune21.0ms (0.4%)

regimes1.0s (21.3%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end39.0ms (0.8%)

sample1.4s (27.7%)

Profiling