Details

analyze1.0s (15.7%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	107×	body	128	invalid
3.0ms	73×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify314.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4740	19
1	4740	19

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 2.6b

Counts

2 → 1

Compiler

Compiled 54 to 45 computations (16.7% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_1837`
17×	`add-sqr-sqrt_binary64_1821`
12×	`add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799`
11×	`associate-r_binary64_1739`
10×	`add-cube-cbrt_binary64_1834`
7×	`prod-exp_binary64_1848`
6×	`associate-l_binary64_1740`
5×	`pow1_binary64_1860`
4×	`div-exp_binary64_1850` `unswap-sqr_binary64_1767` `unpow-prod-down_binary64_1878`
3×	`add-log-exp_binary64_1838` `associate-/r*_binary64_1743` `times-frac_binary64_1805` `cbrt-unprod_binary64_1832`
2×	`pow-to-exp_binary64_1868` `associate-r/_binary64_1741` `associate-/r/_binary64_1745` `cbrt-undiv_binary64_1833` `pow-exp_binary64_1867` `sqr-pow_binary64_1771` `-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`distribute-rgt-in_binary64_1749` `clear-num_binary64_1798` `distribute-lft-in_binary64_1748` `associate-/l*_binary64_1744` `frac-2neg_binary64_1810` `div-inv_binary64_1796` `pow-prod-down_binary64_1870` `distribute-lft-out_binary64_1750`

Counts

3 → 73

Calls

3 calls:

8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))

series399.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

246.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
99.0ms	(*.f64 a (pow.f64 k m))
53.0ms	(*.f64 k (+.f64 k 10))

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4962	1205
1	4962	1205

prune101.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 2.6b

Counts

83 → 4

Compiler

Compiled 1960 to 1173 computations (40.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
12.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite81.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64_1821`
92×	`times-frac_binary64_1805`
52×	`sqrt-prod_binary64_1815` `associate-r_binary64_1739`
50×	`*-un-lft-identity_binary64_1799`
48×	`add-cube-cbrt_binary64_1834`
30×	`add-exp-log_binary64_1837`
27×	`associate-l_binary64_1740`
24×	`unpow-prod-down_binary64_1878`
22×	`unswap-sqr_binary64_1767`
18×	`add-cbrt-cube_binary64_1835`
12×	`sqr-pow_binary64_1771`
10×	`pow1_binary64_1860` `div-exp_binary64_1850`
9×	`prod-exp_binary64_1848`
8×	`sqrt-div_binary64_1816`
5×	`cbrt-unprod_binary64_1832` `flip3-+_binary64_1802` `flip-+_binary64_1773`
4×	`add-log-exp_binary64_1838` `associate-/r/_binary64_1745` `cbrt-undiv_binary64_1833`
3×	`associate-*r/_binary64_1741`
2×	`pow-to-exp_binary64_1868` `pow1/2_binary64_1879` `pow-exp_binary64_1867` `sqrt-pow1_binary64_1817` `*-commutative_binary64_1730` `div-inv_binary64_1796` `pow-prod-down_binary64_1870` `rem-sqrt-square_binary64_1812`
1×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `distribute-lft-out_binary64_1750` `frac-times_binary64_1809` `associate-*l/_binary64_1742`

Counts

4 → 170

Calls

4 calls:

39.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
7.0ms	(*.f64 k (+.f64 k 10))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series362.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

254.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
53.0ms	(*.f64 k (+.f64 k 10))
29.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
26.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify129.0ms (2%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4918	5775
1	4918	5775

prune330.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	182	4	186

Merged error: 2.6b

Counts

186 → 4

Compiler

Compiled 6216 to 4117 computations (33.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
2.7b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-exp-log_binary64_1837`
36×	`times-frac_binary64_1805`
34×	`add-sqr-sqrt_binary64_1821`
29×	`*-un-lft-identity_binary64_1799`
27×	`add-cube-cbrt_binary64_1834`
26×	`div-exp_binary64_1850`
22×	`add-cbrt-cube_binary64_1835`
16×	`prod-exp_binary64_1848`
11×	`associate-r_binary64_1739`
8×	`associate-/r*_binary64_1743`
7×	`pow1_binary64_1860` `cbrt-undiv_binary64_1833`
6×	`associate-/l_binary64_1744` `associate-l*_binary64_1740` `div-inv_binary64_1796`
5×	`pow-to-exp_binary64_1868` `rec-exp_binary64_1849` `1-exp_binary64_1843` `pow-exp_binary64_1867`
4×	`add-log-exp_binary64_1838` `unswap-sqr_binary64_1767` `unpow-prod-down_binary64_1878` `cbrt-unprod_binary64_1832`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-r/_binary64_1741` `associate-/l/_binary64_1746` `sqr-pow_binary64_1771` `-commutative_binary64_1730` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `pow-flip_binary64_1873` `associate-/r/_binary64_1745` `pow-prod-down_binary64_1870` `distribute-lft-out_binary64_1750` `inv-pow_binary64_1884`

Counts

4 → 135

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
9.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))

series571.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
204.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
98.0ms	(*.f64 a (pow.f64 k m))
59.0ms	(*.f64 k (+.f64 k 10))

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5330	3007

prune168.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	147	4	151

Merged error: 0.0b

Counts

151 → 4

Compiler

Compiled 3368 to 2056 computations (39% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
0.1b	(/.f64 1 (.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m))))
2.7b	(.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite84.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-exp-log_binary64_1837`
117×	`div-exp_binary64_1850`
81×	`add-sqr-sqrt_binary64_1821`
71×	`times-frac_binary64_1805`
65×	`prod-exp_binary64_1848`
51×	`*-un-lft-identity_binary64_1799`
45×	`add-cube-cbrt_binary64_1834`
38×	`add-cbrt-cube_binary64_1835`
33×	`rec-exp_binary64_1849` `1-exp_binary64_1843`
29×	`associate-r_binary64_1739`
24×	`unpow-prod-down_binary64_1878`
17×	`pow-to-exp_binary64_1868` `pow-exp_binary64_1867`
16×	`associate-l_binary64_1740`
14×	`cbrt-undiv_binary64_1833`
13×	`unswap-sqr_binary64_1767`
11×	`pow1_binary64_1860`
10×	`sqr-pow_binary64_1771`
9×	`cbrt-unprod_binary64_1832`
8×	`associate-/r*_binary64_1743`
6×	`associate-/l*_binary64_1744`
4×	`add-log-exp_binary64_1838` `associate-*r/_binary64_1741` `div-inv_binary64_1796`
3×	`associate-/r/_binary64_1745` `pow-prod-down_binary64_1870`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `pow-flip_binary64_1873` `associate-/l/_binary64_1746` `-commutative_binary64_1730` `flip3-+_binary64_1802` `frac-times_binary64_1809` `flip-+_binary64_1773` `associate-l/_binary64_1742`
1×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `distribute-lft-out_binary64_1750` `inv-pow_binary64_1884`

Counts

4 → 231

Calls

4 calls:

20.0ms	(.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m)))
15.0ms	(/.f64 1 (.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m))))
8.0ms	(*.f64 k (+.f64 k 10))
8.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))

series692.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

256.0ms	(.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m)))
249.0ms	(/.f64 1 (.f64 (/.f64 1 a) (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (pow.f64 k m))))
133.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
55.0ms	(*.f64 k (+.f64 k 10))

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5215	5584

prune287.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	243	4	247

Merged error: 0.0b

Counts

247 → 4

Compiler

Compiled 5517 to 3472 computations (37.1% saved)

regimes52.0ms (0.8%)

Compiler: Compiled 213 to 189 computations (11.3% saved)

bsearch28.0ms (0.4%)

Steps

Iters	Range		Point
7	5.8737162999893705e+156	4.290874554990311e+158	5.95740836316349e+156

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	62
1	44	62

end0.0ms (0%)

sample1.4s (21.8%)

Algorithm

1×

intervals

Results

545.0ms	8000×	body	128	valid
291.0ms	3338×	body	128	invalid
94.0ms	2048×	body	128	nan

Compiler

Compiled 126 to 102 computations (19% saved)

Details

analyze1.0s (15.7%)

sample45.0ms (0.7%)

simplify314.0ms (4.9%)

prune5.0ms (0.1%)

localize12.0ms (0.2%)

rewrite26.0ms (0.4%)

series399.0ms (6.2%)

simplify82.0ms (1.3%)

prune101.0ms (1.6%)

localize12.0ms (0.2%)

rewrite81.0ms (1.3%)

series362.0ms (5.7%)

simplify129.0ms (2%)

prune330.0ms (5.2%)

localize11.0ms (0.2%)

rewrite45.0ms (0.7%)

series571.0ms (8.9%)

simplify56.0ms (0.9%)

prune168.0ms (2.6%)

localize11.0ms (0.2%)

rewrite84.0ms (1.3%)

series692.0ms (10.8%)

simplify84.0ms (1.3%)

prune287.0ms (4.5%)

regimes52.0ms (0.8%)

bsearch28.0ms (0.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.8%)

Profiling