Details

analyze808.0ms (6.3%)

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)

sample105.0ms (0.8%)

Algorithm

1×

intervals

Results

75.0ms	241×	body	256	valid
7.0ms	46×	body	128	nan
2.0ms	15×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify624.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (337.0ms)

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: 33.3b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite67.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1783`
11×	`cbrt-prod_binary64_1790`
10×	`*-un-lft-identity_binary64_1762`
9×	`sqrt-prod_binary64_1777`
8×	`add-cube-cbrt_binary64_1794`
6×	`times-frac_binary64_1768` `pow1_binary64_1820`
4×	`add-log-exp_binary64_1798` `difference-of-squares_binary64_1731` `add-cbrt-cube_binary64_1795` `sqrt-div_binary64_1778` `add-exp-log_binary64_1797`
2×	`flip3--_binary64_1766` `rem-sqrt-square_binary64_1775` `pow1/3_binary64_1841` `flip--_binary64_1737` `sqrt-pow1_binary64_1779` `cbrt-div_binary64_1791` `pow1/2_binary64_1839`
1×	`div-inv_binary64_1759` `associate-*l/_binary64_1707` `distribute-lft-out--_binary64_1716`

Counts

4 → 61

Calls

4 calls:

18.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
18.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series1.9s (14.5%)

Counts

4 → 12

Calls

4 calls:

855.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
803.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
109.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
103.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4942	1656
1	4942	1656

prune299.0ms (2.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	57	16	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	16	75

Merged error: 27.3b

Counts

75 → 16

Compiler

Compiled 3380 to 1265 computations (62.6% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
6.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1783`
10×	`cbrt-prod_binary64_1790` `*-un-lft-identity_binary64_1762`
9×	`sqrt-prod_binary64_1777`
8×	`add-cube-cbrt_binary64_1794`
6×	`times-frac_binary64_1768` `add-log-exp_binary64_1798` `pow1_binary64_1820`
5×	`difference-of-squares_binary64_1731`
4×	`add-cbrt-cube_binary64_1795` `sqrt-div_binary64_1778` `add-exp-log_binary64_1797`
3×	`flip3--_binary64_1766` `flip--_binary64_1737`
2×	`rem-sqrt-square_binary64_1775` `sqrt-pow1_binary64_1779` `pow1/2_binary64_1839`
1×	`diff-log_binary64_1851` `pow1/3_binary64_1841` `div-inv_binary64_1759` `distribute-lft-out--_binary64_1716` `sub-neg_binary64_1755` `cbrt-div_binary64_1791`

Counts

4 → 63

Calls

4 calls:

18.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
8.0ms	(-.f64 (.f64 g g) (.f64 h h))

series1.1s (8.7%)

Counts

4 → 12

Calls

4 calls:

829.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
110.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
105.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
78.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify122.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4879	1495
1	4879	1495

prune276.0ms (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	71	20	91

Merged error: 26.0b

Counts

91 → 20

Compiler

Compiled 3632 to 1406 computations (61.3% saved)

localize43.0ms (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))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_1798` `sqrt-prod_binary64_1777` `add-sqr-sqrt_binary64_1783`
6×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `pow1_binary64_1820`
4×	`flip3--_binary64_1766` `difference-of-squares_binary64_1731` `flip--_binary64_1737` `add-cbrt-cube_binary64_1795` `sqrt-div_binary64_1778` `add-exp-log_binary64_1797`
2×	`rem-sqrt-square_binary64_1775` `diff-log_binary64_1851` `sqrt-pow1_binary64_1779` `sub-neg_binary64_1755` `pow1/2_binary64_1839`

Counts

4 → 56

Calls

4 calls:

10.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
9.0ms	(-.f64 (.f64 g g) (.f64 h h))
9.0ms	(-.f64 (.f64 g g) (.f64 h h))

series353.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
94.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
85.0ms	(-.f64 (.f64 g g) (.f64 h h))
74.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5152	948

prune241.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	67	21	88

Merged error: 26.0b

Counts

88 → 21

Compiler

Compiled 3324 to 1332 computations (59.9% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (.f64 g g) (.f64 h h))
9.5b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
25.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`sqrt-prod_binary64_1777` `add-sqr-sqrt_binary64_1783`
6×	`add-log-exp_binary64_1798` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `pow1_binary64_1820`
4×	`add-cbrt-cube_binary64_1795` `sqrt-div_binary64_1778` `add-exp-log_binary64_1797`
3×	`flip3--_binary64_1766` `difference-of-squares_binary64_1731` `flip--_binary64_1737`
2×	`rem-sqrt-square_binary64_1775` `sqrt-pow1_binary64_1779` `pow1/2_binary64_1839`
1×	`diff-log_binary64_1851` `pow1/3_binary64_1841` `associate-*l/_binary64_1707` `cbrt-prod_binary64_1790` `sub-neg_binary64_1755` `cbrt-div_binary64_1791`

Counts

4 → 54

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.0ms	(-.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)))

series1.1s (8.4%)

Counts

4 → 12

Calls

4 calls:

798.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
114.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
105.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
67.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4929	1095
1	4929	1095

prune169.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	19	20
Picked	0	1	1
Done	0	0	0
Total	64	23	87

Merged error: 26.0b

Counts

87 → 23

Compiler

Compiled 2428 to 851 computations (65% saved)

regimes529.0ms (4.1%)

Compiler: Compiled 3368 to 1990 computations (40.9% saved)

bsearch166.0ms (1.3%)

Steps

Iters	Range		Point
10	-1.0229392736695081e-191	-3.4874522917705045e-204	-1.0087729752986895e-191

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	95
1	67	95

end0.0ms (0%)

sample4.5s (34.5%)

Algorithm

1×

intervals

Results

2.7s	7592×	body	256	valid
194.0ms	1258×	body	128	nan
64.0ms	408×	body	128	valid

Compiler

Compiled 938 to 551 computations (41.3% saved)

Details

analyze808.0ms (6.3%)

sample105.0ms (0.8%)

simplify624.0ms (4.8%)

prune11.0ms (0.1%)

localize32.0ms (0.2%)

rewrite67.0ms (0.5%)

series1.9s (14.5%)

simplify93.0ms (0.7%)

prune299.0ms (2.3%)

localize36.0ms (0.3%)

rewrite58.0ms (0.5%)

series1.1s (8.7%)

simplify122.0ms (0.9%)

prune276.0ms (2.1%)

localize43.0ms (0.3%)

rewrite50.0ms (0.4%)

series353.0ms (2.7%)

simplify90.0ms (0.7%)

prune241.0ms (1.9%)

localize38.0ms (0.3%)

rewrite55.0ms (0.4%)

series1.1s (8.4%)

simplify111.0ms (0.9%)

prune169.0ms (1.3%)

regimes529.0ms (4.1%)

bsearch166.0ms (1.3%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.5s (34.5%)

Profiling