Details

analyze613.0ms (5%)

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)

sample74.0ms (0.6%)

Algorithm

1×

intervals

Results

54.0ms	244×	body	256	valid
3.0ms	32×	body	128	nan
1.0ms	12×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify516.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	4882	48
1	4882	48

prune11.0ms (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: 35.8b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.4b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite60.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_2838`
8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
4×	`frac-times_binary64_2816` `sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781` `associate-*r/_binary64_2748`
2×	`pow1/2_binary64_2886` `pow1/3_binary64_2888` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `flip3-+_binary64_2809` `cbrt-prod_binary64_2837` `difference-of-squares_binary64_2775` `associate-*l/_binary64_2749`

Counts

4 → 60

Calls

4 calls:

23.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
18.0ms	(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)))

series1.4s (11.5%)

Counts

4 → 12

Calls

4 calls:

675.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
616.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
66.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4965	1573
1	4965	1573

prune243.0ms (2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	16	74

Merged error: 30.5b

Counts

74 → 16

Compiler

Compiled 3774 to 1592 computations (57.8% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
9.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`*-un-lft-identity_binary64_2806` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
5×	`cbrt-div_binary64_2838` `flip3--_binary64_2810` `flip--_binary64_2781`
4×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`difference-of-squares_binary64_2775`
2×	`frac-times_binary64_2816` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819` `associate-*r/_binary64_2748`
1×	`cancel-sign-sub-inv_binary64_2772` `pow1/3_binary64_2888` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cbrt-prod_binary64_2837` `associate-*l/_binary64_2749`

Counts

4 → 59

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
6.0ms	(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))

series841.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

665.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
70.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
60.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
46.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5076	1242

prune281.0ms (2.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	57	14	71
Fresh	8	7	15
Picked	1	0	1
Done	0	0	0
Total	66	21	87

Merged error: 29.4b

Counts

87 → 21

Compiler

Compiled 3694 to 1546 computations (58.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2828` `add-log-exp_binary64_2845` `sqrt-prod_binary64_2822`
6×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
4×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `cancel-sign-sub-inv_binary64_2772` `sqrt-pow1_binary64_2824` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819`

Counts

4 → 58

Calls

4 calls:

9.0ms	(-.f64 (.f64 g g) (.f64 h h))
8.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series294.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
78.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
73.0ms	(-.f64 (.f64 g g) (.f64 h h))
51.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4906	960
1	4906	960

prune181.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	72	19	91

Merged error: 29.4b

Counts

91 → 19

Compiler

Compiled 3520 to 1386 computations (60.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.8b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2828` `add-log-exp_binary64_2845` `sqrt-prod_binary64_2822`
6×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
4×	`sqrt-div_binary64_2823` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `cancel-sign-sub-inv_binary64_2772` `sqrt-pow1_binary64_2824` `diff-log_binary64_2898` `sub-neg_binary64_2799` `rem-sqrt-square_binary64_2819`

Counts

4 → 58

Calls

4 calls:

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))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series278.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
72.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
61.0ms	(-.f64 (.f64 g g) (.f64 h h))
54.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4906	960
1	4906	960

prune124.0ms (1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	69	20	89

Merged error: 29.4b

Counts

89 → 20

Compiler

Compiled 2676 to 928 computations (65.3% saved)

regimes2.0s (16%)

Compiler: Compiled 24178 to 14469 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	54
1	64	54

end0.0ms (0%)

sample4.9s (39.8%)

Algorithm

1×

intervals

Results

1.8s	7595×	body	256	valid
141.0ms	1235×	body	128	nan
51.0ms	405×	body	128	valid

Compiler

Compiled 3251 to 1941 computations (40.3% saved)

Details

analyze613.0ms (5%)

sample74.0ms (0.6%)

simplify516.0ms (4.2%)

prune11.0ms (0.1%)

localize19.0ms (0.2%)

rewrite60.0ms (0.5%)

series1.4s (11.5%)

simplify90.0ms (0.7%)

prune243.0ms (2%)

localize35.0ms (0.3%)

rewrite44.0ms (0.4%)

series841.0ms (6.8%)

simplify73.0ms (0.6%)

prune281.0ms (2.3%)

localize22.0ms (0.2%)

rewrite44.0ms (0.4%)

series294.0ms (2.4%)

simplify74.0ms (0.6%)

prune181.0ms (1.5%)

localize31.0ms (0.3%)

rewrite25.0ms (0.2%)

series278.0ms (2.3%)

simplify67.0ms (0.5%)

prune124.0ms (1%)

regimes2.0s (16%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.9s (39.8%)

Profiling