Details

analyze423.0ms (4.8%)

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)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Results

39.0ms	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)

simplify360.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	4882	48
1	4882	48

prune9.0ms (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 167 to 100 computations (40.1% saved)

localize18.0ms (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 (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-div_binary64_1831`
8×	`add-sqr-sqrt_binary64_1821` `sqrt-prod_binary64_1815`
6×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`sqrt-div_binary64_1816` `add-log-exp_binary64_1838` `associate-*r/_binary64_1741` `flip--_binary64_1774` `add-cbrt-cube_binary64_1835` `flip3--_binary64_1803` `add-exp-log_binary64_1837` `frac-times_binary64_1809`
2×	`pow1/3_binary64_1881` `cbrt-prod_binary64_1830` `pow1/2_binary64_1879` `difference-of-squares_binary64_1768` `sqrt-pow1_binary64_1817` `flip3-+_binary64_1802` `rem-sqrt-square_binary64_1812` `flip-+_binary64_1773` `associate-*l/_binary64_1742`

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))))))
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)))

series1.2s (13.1%)

Counts

4 → 12

Calls

4 calls:

531.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
521.0ms	(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)))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	1573
1	4965	1573

prune1.1s (12%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	57	17	74

Merged error: 34.0b

Counts

74 → 17

Compiler

Compiled 25878 to 13786 computations (46.7% saved)

localize19.0ms (0.2%)

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)))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1821` `sqrt-prod_binary64_1815`
6×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `*-un-lft-identity_binary64_1799`
5×	`cbrt-div_binary64_1831`
4×	`sqrt-div_binary64_1816` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
3×	`flip--_binary64_1774` `difference-of-squares_binary64_1768` `flip3--_binary64_1803`
2×	`pow1/2_binary64_1879` `associate-*r/_binary64_1741` `sqrt-pow1_binary64_1817` `flip3-+_binary64_1802` `rem-sqrt-square_binary64_1812` `frac-times_binary64_1809` `flip-+_binary64_1773`
1×	`sub-neg_binary64_1792` `pow1/3_binary64_1881` `cbrt-prod_binary64_1830` `diff-log_binary64_1891` `cancel-sign-sub-inv_binary64_1765` `associate-*l/_binary64_1742`

Counts

4 → 59

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))

series677.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

523.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
55.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
40.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5242	1235

prune1.0s (11.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	60	11	71
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	69	19	88

Merged error: 32.8b

Counts

88 → 19

Compiler

Compiled 24911 to 12974 computations (47.9% saved)

localize20.0ms (0.2%)

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)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838` `sqrt-prod_binary64_1815`
6×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`sqrt-div_binary64_1816` `flip--_binary64_1774` `add-cbrt-cube_binary64_1835` `difference-of-squares_binary64_1768` `flip3--_binary64_1803` `add-exp-log_binary64_1837`
2×	`sub-neg_binary64_1792` `pow1/2_binary64_1879` `diff-log_binary64_1891` `sqrt-pow1_binary64_1817` `cancel-sign-sub-inv_binary64_1765` `rem-sqrt-square_binary64_1812`

Counts

4 → 58

Calls

4 calls:

7.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

series191.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
53.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
42.0ms	(-.f64 (.f64 g g) (.f64 h h))
40.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4906	960
1	4906	960

prune517.0ms (5.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	68	21	89

Merged error: 32.8b

Counts

89 → 21

Compiler

Compiled 12792 to 6611 computations (48.3% saved)

localize18.0ms (0.2%)

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)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838` `sqrt-prod_binary64_1815`
6×	`pow1_binary64_1860` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`sqrt-div_binary64_1816` `flip--_binary64_1774` `add-cbrt-cube_binary64_1835` `difference-of-squares_binary64_1768` `flip3--_binary64_1803` `add-exp-log_binary64_1837`
2×	`sub-neg_binary64_1792` `pow1/2_binary64_1879` `diff-log_binary64_1891` `sqrt-pow1_binary64_1817` `cancel-sign-sub-inv_binary64_1765` `rem-sqrt-square_binary64_1812`

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))

series204.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
61.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
40.0ms	(-.f64 (.f64 g g) (.f64 h h))
39.0ms	(-.f64 (.f64 g g) (.f64 h h))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4906	960
1	4906	960

prune214.0ms (2.4%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	70	21	91

Merged error: 32.8b

Counts

91 → 21

Compiler

Compiled 5528 to 2550 computations (53.9% saved)

regimes323.0ms (3.6%)

Compiler: Compiled 4962 to 2857 computations (42.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	54
1	67	54

end0.0ms (0%)

sample2.2s (25.2%)

Algorithm

1×

intervals

Results

1.3s	7596×	body	256	valid
101.0ms	1187×	body	128	nan
36.0ms	404×	body	128	valid

Compiler

Compiled 983 to 566 computations (42.4% saved)

Details

analyze423.0ms (4.8%)

sample57.0ms (0.6%)

simplify360.0ms (4%)

prune9.0ms (0.1%)

localize18.0ms (0.2%)

rewrite51.0ms (0.6%)

series1.2s (13.1%)

simplify64.0ms (0.7%)

prune1.1s (12%)

localize19.0ms (0.2%)

rewrite37.0ms (0.4%)

series677.0ms (7.6%)

simplify59.0ms (0.7%)

prune1.0s (11.3%)

localize20.0ms (0.2%)

rewrite28.0ms (0.3%)

series191.0ms (2.1%)

simplify57.0ms (0.6%)

prune517.0ms (5.8%)

localize18.0ms (0.2%)

rewrite26.0ms (0.3%)

series204.0ms (2.3%)

simplify53.0ms (0.6%)

prune214.0ms (2.4%)

regimes323.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (25.2%)

Profiling