Details

analyze430.0ms (5.3%)

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)

sample57.0ms (0.7%)

Algorithm

1×

intervals

Results

43.0ms	247×	body	256	valid
2.0ms	30×	body	128	nan
1.0ms	9×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify321.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	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: 35.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
8.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_1815`
8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
4×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `associate-*r/_binary64_1725` `add-exp-log_binary64_1821` `sqrt-div_binary64_1800` `frac-times_binary64_1793` `flip--_binary64_1758` `add-log-exp_binary64_1822`
2×	`difference-of-squares_binary64_1752` `flip-+_binary64_1757` `cbrt-prod_binary64_1814` `pow1/2_binary64_1863` `associate-*l/_binary64_1726` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `pow1/3_binary64_1865` `rem-sqrt-square_binary64_1796`

Counts

4 → 60

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

series618.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
277.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5478	1529

prune181.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	17	74

Merged error: 31.6b

Counts

74 → 17

Compiler

Compiled 3740 to 1600 computations (57.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
5.8b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`cbrt-div_binary64_1815`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `sqrt-div_binary64_1800`
3×	`flip3--_binary64_1787` `difference-of-squares_binary64_1752` `flip--_binary64_1758`
2×	`associate-*r/_binary64_1725` `flip-+_binary64_1757` `pow1/2_binary64_1863` `frac-times_binary64_1793` `flip3-+_binary64_1786` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`cbrt-prod_binary64_1814` `cancel-sign-sub-inv_binary64_1749` `associate-*l/_binary64_1726` `diff-log_binary64_1875` `pow1/3_binary64_1865` `sub-neg_binary64_1776`

Counts

4 → 59

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

series362.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
27.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
21.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5150	1255

prune154.0ms (1.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	4	12	16
Picked	1	0	1
Done	0	0	0
Total	68	20	88

Merged error: 30.0b

Counts

88 → 20

Compiler

Compiled 3715 to 1559 computations (58% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
2.6b	(-.f64 (.f64 g g) (.f64 h h))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799` `add-log-exp_binary64_1822`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
4×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `add-exp-log_binary64_1821` `sqrt-div_binary64_1800` `flip--_binary64_1758`
2×	`cancel-sign-sub-inv_binary64_1749` `pow1/2_binary64_1863` `diff-log_binary64_1875` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sub-neg_binary64_1776`

Counts

4 → 58

Calls

4 calls:

4.0ms	(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))

series100.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
21.0ms	(-.f64 (.f64 g g) (.f64 h h))
20.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4931	960
1	4931	960

prune138.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 30.0b

Counts

90 → 20

Compiler

Compiled 3512 to 1424 computations (59.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
2.6b	(-.f64 (.f64 g g) (.f64 h h))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799` `add-log-exp_binary64_1822`
6×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
4×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752` `add-exp-log_binary64_1821` `sqrt-div_binary64_1800` `flip--_binary64_1758`
2×	`cancel-sign-sub-inv_binary64_1749` `pow1/2_binary64_1863` `diff-log_binary64_1875` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sub-neg_binary64_1776`

Counts

4 → 58

Calls

4 calls:

4.0ms	(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))

series97.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
26.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
22.0ms	(-.f64 (.f64 g g) (.f64 h h))
20.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4931	960
1	4931	960

prune90.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 30.0b

Counts

90 → 20

Compiler

Compiled 2676 to 928 computations (65.3% saved)

regimes1.6s (19.4%)

Compiler: Compiled 21514 to 13147 computations (38.9% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	157	268
1	157	268

end0.0ms (0%)

sample3.5s (43%)

Algorithm

1×

intervals

Results

1.3s	7608×	body	256	valid
98.0ms	1184×	body	128	nan
34.0ms	392×	body	128	valid

Compiler

Compiled 3012 to 1809 computations (39.9% saved)

Details

analyze430.0ms (5.3%)

sample57.0ms (0.7%)

simplify321.0ms (3.9%)

prune6.0ms (0.1%)

localize22.0ms (0.3%)

rewrite43.0ms (0.5%)

series618.0ms (7.6%)

simplify61.0ms (0.8%)

prune181.0ms (2.2%)

localize20.0ms (0.2%)

rewrite35.0ms (0.4%)

series362.0ms (4.5%)

simplify65.0ms (0.8%)

prune154.0ms (1.9%)

localize20.0ms (0.2%)

rewrite26.0ms (0.3%)

series100.0ms (1.2%)

simplify77.0ms (0.9%)

prune138.0ms (1.7%)

localize23.0ms (0.3%)

rewrite22.0ms (0.3%)

series97.0ms (1.2%)

simplify80.0ms (1%)

prune90.0ms (1.1%)

regimes1.6s (19.4%)

bsearch6.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.5s (43%)

Profiling