Details

analyze414.0ms (5.8%)

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)

sample51.0ms (0.7%)

Algorithm

1×

intervals

Results

37.0ms	242×	body	256	valid
3.0ms	32×	body	128	nan
1.0ms	14×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify347.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	4882	48
1	4882	48

prune6.0ms (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: 39.0b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.3b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_3476`
8×	`add-sqr-sqrt_binary64_3468` `sqrt-prod_binary64_3462`
6×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `pow1_binary64_3505`
4×	`flip--_binary64_3422` `add-log-exp_binary64_3483` `associate-*r/_binary64_3391` `sqrt-div_binary64_3463` `add-cbrt-cube_binary64_3480` `frac-times_binary64_3457` `add-exp-log_binary64_3482` `flip3--_binary64_3451`
2×	`flip-+_binary64_3421` `rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `associate-*l/_binary64_3392` `flip3-+_binary64_3450` `sqrt-pow1_binary64_3464` `cbrt-prod_binary64_3475` `difference-of-squares_binary64_3416` `pow1/3_binary64_3526`

Counts

4 → 60

Calls

4 calls:

18.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
15.0ms	(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)))

series1.1s (16.2%)

Counts

4 → 12

Calls

4 calls:

534.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
513.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
50.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5701	1511

prune179.0ms (2.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	57	15	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	15	74

Merged error: 34.0b

Counts

74 → 15

Compiler

Compiled 3691 to 1547 computations (58.1% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_3468` `sqrt-prod_binary64_3462`
6×	`*-un-lft-identity_binary64_3447` `add-log-exp_binary64_3483` `add-cube-cbrt_binary64_3479` `pow1_binary64_3505`
5×	`cbrt-div_binary64_3476`
4×	`sqrt-div_binary64_3463` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
3×	`flip--_binary64_3422` `difference-of-squares_binary64_3416` `flip3--_binary64_3451`
2×	`flip-+_binary64_3421` `rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `associate-*r/_binary64_3391` `flip3-+_binary64_3450` `sqrt-pow1_binary64_3464` `frac-times_binary64_3457`
1×	`associate-*l/_binary64_3392` `cbrt-prod_binary64_3475` `diff-log_binary64_3536` `sub-neg_binary64_3440` `pow1/3_binary64_3526`

Counts

4 → 58

Calls

4 calls:

15.0ms	(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))

series681.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

528.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
57.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
39.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5212	1229

prune157.0ms (2.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	67	18	85

Merged error: 32.8b

Counts

85 → 18

Compiler

Compiled 3634 to 1491 computations (59% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
3.0b	(-.f64 (.f64 g g) (.f64 h h))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_3483` `add-sqr-sqrt_binary64_3468` `sqrt-prod_binary64_3462`
6×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `pow1_binary64_3505`
4×	`flip--_binary64_3422` `sqrt-div_binary64_3463` `add-cbrt-cube_binary64_3480` `difference-of-squares_binary64_3416` `add-exp-log_binary64_3482` `flip3--_binary64_3451`
2×	`rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `sqrt-pow1_binary64_3464` `diff-log_binary64_3536` `sub-neg_binary64_3440`

Counts

4 → 56

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(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))

series194.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
48.0ms	(-.f64 (.f64 g g) (.f64 h h))
39.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5152	948

prune129.0ms (1.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	67	19	86

Merged error: 32.8b

Counts

86 → 19

Compiler

Compiled 3461 to 1388 computations (59.9% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
32.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_3468` `sqrt-prod_binary64_3462`
6×	`*-un-lft-identity_binary64_3447` `add-log-exp_binary64_3483` `add-cube-cbrt_binary64_3479` `pow1_binary64_3505`
5×	`cbrt-div_binary64_3476`
4×	`sqrt-div_binary64_3463` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
3×	`flip--_binary64_3422` `difference-of-squares_binary64_3416` `flip3--_binary64_3451`
2×	`flip-+_binary64_3421` `rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `associate-*r/_binary64_3391` `flip3-+_binary64_3450` `sqrt-pow1_binary64_3464` `frac-times_binary64_3457`
1×	`associate-*l/_binary64_3392` `cbrt-prod_binary64_3475` `diff-log_binary64_3536` `sub-neg_binary64_3440` `pow1/3_binary64_3526`

Counts

4 → 58

Calls

4 calls:

15.0ms	(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)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series659.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

509.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
54.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
52.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
44.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5212	1229

prune116.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	71	18	89

Merged error: 32.8b

Counts

89 → 18

Compiler

Compiled 2826 to 1040 computations (63.2% saved)

regimes304.0ms (4.3%)

Compiler: Compiled 4475 to 2560 computations (42.8% saved)

bsearch98.0ms (1.4%)

Steps

Iters	Range		Point
10	-5.9950595309595415e-182	-1.0460409794059976e-198	-5.913073061015827e-182

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	122
1	93	122

end0.0ms (0%)

sample2.1s (30.3%)

Algorithm

1×

intervals

Results

1.2s	7596×	body	256	valid
95.0ms	1187×	body	128	nan
34.0ms	404×	body	128	valid

Compiler

Compiled 923 to 526 computations (43% saved)

Details

analyze414.0ms (5.8%)

sample51.0ms (0.7%)

simplify347.0ms (4.9%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite51.0ms (0.7%)

series1.1s (16.2%)

simplify60.0ms (0.8%)

prune179.0ms (2.5%)

localize22.0ms (0.3%)

rewrite36.0ms (0.5%)

series681.0ms (9.6%)

simplify59.0ms (0.8%)

prune157.0ms (2.2%)

localize18.0ms (0.3%)

rewrite24.0ms (0.3%)

series194.0ms (2.7%)

simplify49.0ms (0.7%)

prune129.0ms (1.8%)

localize23.0ms (0.3%)

rewrite35.0ms (0.5%)

series659.0ms (9.3%)

simplify58.0ms (0.8%)

prune116.0ms (1.6%)

regimes304.0ms (4.3%)

bsearch98.0ms (1.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (30.3%)

Profiling