Details

analyze80.0ms (3.3%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample20.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify201.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_1860` `add-exp-log_binary64_1837`
9×	`add-cbrt-cube_binary64_1835`
8×	`add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838`
7×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
3×	`prod-exp_binary64_1848` `pow-unpow_binary64_1876` `unpow-prod-down_binary64_1878` `associate-l_binary64_1740` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
2×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`unpow2_binary64_1864` `unswap-sqr_binary64_1767` `pow-to-exp_binary64_1868` `pow-exp_binary64_1867` `sqr-pow_binary64_1771` `-commutative_binary64_1730` `pow-pow_binary64_1871` `associate-r*_binary64_1739`

Counts

4 → 59

Calls

4 calls:

10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
7.0ms	(+.f64 (.f64 a a) (.f64 b b))
7.0ms	(.f64 4 (.f64 b b))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series217.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
40.0ms	(+.f64 (.f64 a a) (.f64 b b))
36.0ms	(.f64 4 (.f64 b b))

simplify72.0ms (3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4923	1108
1	4923	1108

prune173.0ms (7.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0b

Counts

72 → 3

Compiler

Compiled 3484 to 1969 computations (43.5% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
1.6b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite59.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
18×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
15×	`add-log-exp_binary64_1838`
9×	`*-un-lft-identity_binary64_1799`
7×	`sum-log_binary64_1890`
6×	`add-sqr-sqrt_binary64_1821`
5×	`add-cube-cbrt_binary64_1834`
4×	`associate-l_binary64_1740`
2×	`+-commutative_binary64_1729` `unpow-prod-down_binary64_1878` `-commutative_binary64_1730` `distribute-lft-out_binary64_1750` `flip3-+_binary64_1802` `flip-+_binary64_1773` `associate-r*_binary64_1739`
1×	`unswap-sqr_binary64_1767` `associate-+l+_binary64_1732`

Counts

4 → 74

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
11.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(.f64 4 (.f64 b b))

series244.0ms (10%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
70.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
51.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
38.0ms	(.f64 4 (.f64 b b))

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4991	1404
1	4991	1404

prune116.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 2470 to 1622 computations (34.3% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.3b	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`exp-prod_binary64_1851`
13×	`add-sqr-sqrt_binary64_1821`
12×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
11×	`pow1_binary64_1860`
10×	`add-exp-log_binary64_1837`
9×	`unpow-prod-down_binary64_1878` `add-cbrt-cube_binary64_1835` `log-pow_binary64_1888`
5×	`add-log-exp_binary64_1838`
3×	`log-prod_binary64_1885` `prod-exp_binary64_1848` `pow-unpow_binary64_1876` `unpow2_binary64_1864` `associate-l_binary64_1740` `cbrt-unprod_binary64_1832` `sqr-pow_binary64_1771` `pow-prod-down_binary64_1870`
1×	`unswap-sqr_binary64_1767` `pow-to-exp_binary64_1868` `rem-exp-log_binary64_1839` `pow-exp_binary64_1867` `-commutative_binary64_1730` `pow-pow_binary64_1871` `rem-log-exp_binary64_1840` `associate-r*_binary64_1739`

Counts

4 → 73

Calls

4 calls:

7.0ms	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
6.0ms	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series187.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
34.0ms	(.f64 4 (.f64 b b))
32.0ms	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4981	1098
1	4981	1098

prune91.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

Compiler

Compiled 2041 to 969 computations (52.5% saved)

regimes83.0ms (3.4%)

Compiler: Compiled 530 to 398 computations (24.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample637.0ms (26.1%)

Algorithm

1×

intervals

Results

371.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 104 to 79 computations (24% saved)

Details

analyze80.0ms (3.3%)

sample20.0ms (0.8%)

simplify201.0ms (8.2%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

rewrite34.0ms (1.4%)

series217.0ms (8.9%)

simplify72.0ms (3%)

prune173.0ms (7.1%)

localize15.0ms (0.6%)

rewrite59.0ms (2.4%)

series244.0ms (10%)

simplify79.0ms (3.2%)

prune116.0ms (4.8%)

localize12.0ms (0.5%)

rewrite31.0ms (1.3%)

series187.0ms (7.7%)

simplify74.0ms (3%)

prune91.0ms (3.7%)

regimes83.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample637.0ms (26.1%)

Profiling