Details

analyze446.0ms (6.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample70.0ms (1%)

Algorithm

1×

intervals

Results

35.0ms	136×	body	320	valid
19.0ms	115×	body	160	valid
4.0ms	45×	body	80	nan
0.0ms	5×	body	80	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify261.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (251.0ms)

Iter	Nodes	Cost
0	4927	48
1	4927	48

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 33.7b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-times_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `flip-+_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 60

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series162.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
73.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5365	1533

prune146.0ms (2.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	18	74

Merged error: 29.7b

Counts

74 → 18

Compiler

Compiled 3825 to 1627 computations (57.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series97.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
10.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4945	1229
1	4945	1229

prune136.0ms (2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	6	11	17
Picked	1	0	1
Done	0	0	0
Total	68	20	88

Merged error: 29.4b

Counts

88 → 20

Compiler

Compiled 3696 to 1539 computations (58.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
8.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series97.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4945	1229
1	4945	1229

prune124.0ms (1.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 29.4b

Counts

90 → 22

Compiler

Compiled 3744 to 1582 computations (57.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 g g) (.f64 h h))
6.5b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-div_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`difference-of-squares_binary64`
2×	`pow1/2_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-times_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `cbrt-prod_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series98.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
6.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5278	1254

prune94.0ms (1.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	69	23	92

Merged error: 29.4b

Counts

92 → 23

Compiler

Compiled 2769 to 1032 computations (62.7% saved)

regimes621.0ms (9.2%)

Compiler: Compiled 6297 to 3690 computations (41.4% saved)

bsearch241.0ms (3.6%)

Steps

Iters	Range		Point
14	-1.312226616136528e-220	3.538758256515952e-240	3.5006831600779324e-240

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	182	123
1	182	123

end0.0ms (0%)

sample3.6s (53.2%)

Algorithm

1×

intervals

Results

954.0ms	3812×	body	320	valid
678.0ms	4054×	body	160	valid
103.0ms	1194×	body	80	nan
11.0ms	134×	body	80	valid

Compiler

Compiled 1090 to 632 computations (42% saved)

Details

analyze446.0ms (6.6%)

sample70.0ms (1%)

simplify261.0ms (3.9%)

prune8.0ms (0.1%)

localize17.0ms (0.2%)

rewrite40.0ms (0.6%)

series162.0ms (2.4%)

simplify72.0ms (1.1%)

prune146.0ms (2.2%)

localize19.0ms (0.3%)

rewrite28.0ms (0.4%)

series97.0ms (1.4%)

simplify104.0ms (1.5%)

prune136.0ms (2%)

localize21.0ms (0.3%)

rewrite28.0ms (0.4%)

series97.0ms (1.4%)

simplify97.0ms (1.4%)

prune124.0ms (1.8%)

localize18.0ms (0.3%)

rewrite29.0ms (0.4%)

series98.0ms (1.4%)

simplify91.0ms (1.3%)

prune94.0ms (1.4%)

regimes621.0ms (9.2%)

bsearch241.0ms (3.6%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.6s (53.2%)

Profiling