Details

analyze97.0ms (6.4%)

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%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify94.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune7.0ms (0.5%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14763`
4×	`add-log-exp_binary64_14780` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `*-un-lft-identity_binary64_14741` `pow1_binary64_14802` `add-cube-cbrt_binary64_14776`
3×	`associate-l_binary64_14682` `associate-r_binary64_14681`
2×	`associate-+l+_binary64_14674` `distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `flip-+_binary64_14715` `flip3-+_binary64_14744` `distribute-rgt-in_binary64_14691`
1×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `+-commutative_binary64_14671` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `sum-log_binary64_14832`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
5.0ms	(.f64 x (+.f64 x (.f64 2 y)))

series48.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(.f64 x (+.f64 x (.f64 2 y)))
22.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

simplify57.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5056	646

prune36.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 718 to 390 computations (45.7% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 y (+.f64 y (.f64 x 2)))
0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14763`
4×	`add-log-exp_binary64_14780` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `*-un-lft-identity_binary64_14741` `pow1_binary64_14802` `add-cube-cbrt_binary64_14776`
3×	`associate-l_binary64_14682` `associate-r_binary64_14681`
2×	`distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `flip-+_binary64_14715` `associate-+r+_binary64_14673` `flip3-+_binary64_14744` `distribute-rgt-in_binary64_14691`
1×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `+-commutative_binary64_14671` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `sum-log_binary64_14832`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 y (+.f64 y (.f64 x 2)))
5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

series48.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(.f64 y (+.f64 y (.f64 x 2)))
22.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5032	646

prune32.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 711 to 382 computations (46.3% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

rewrite49.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_14763`
24×	`sqrt-prod_binary64_14757`
21×	`pow1_binary64_14802`
16×	`sqrt-div_binary64_14758`
14×	`*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
10×	`pow1/2_binary64_14821` `sqrt-pow1_binary64_14759`
9×	`flip-+_binary64_14715` `flip3-+_binary64_14744`
8×	`swap-sqr_binary64_14708`
6×	`add-log-exp_binary64_14780` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `associate-l_binary64_14682` `associate-r_binary64_14681`
5×	`pow-prod-up_binary64_14811`
4×	`unswap-sqr_binary64_14709` `rem-sqrt-square_binary64_14754` `frac-times_binary64_14751`
3×	`pow-sqr_binary64_14714` `pow-prod-down_binary64_14812`
2×	`associate-+l+_binary64_14674` `associate-r/_binary64_14683` `associate-l/_binary64_14684`
1×	`sqr-abs_binary64_14756` `cbrt-unprod_binary64_14774` `distribute-lft-in_binary64_14690` `pow2_binary64_14822` `sqrt-unprod_binary64_14761` `+-commutative_binary64_14671` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `pow-plus_binary64_14804` `sum-log_binary64_14832` `rem-square-sqrt_binary64_14753` `distribute-rgt-in_binary64_14691`

Counts

4 → 101

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
9.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

series136.0ms (9%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
44.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
24.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
21.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

simplify108.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4955	2538
1	4955	2538

prune129.0ms (8.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 3131 to 1750 computations (44.1% saved)

regimes37.0ms (2.5%)

Accuracy

Total 0.0b remaining (59.9%)

Threshold costs 0.0b (59.9%)

Compiler

Compiled 252 to 182 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample518.0ms (34.1%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
9.0ms	201×	body	128	invalid

Compiler

Compiled 114 to 82 computations (28.1% saved)

Details

analyze97.0ms (6.4%)

sample14.0ms (0.9%)

simplify94.0ms (6.2%)

prune7.0ms (0.5%)

localize7.0ms (0.4%)

rewrite14.0ms (0.9%)

series48.0ms (3.2%)

simplify57.0ms (3.8%)

prune36.0ms (2.3%)

localize7.0ms (0.4%)

rewrite13.0ms (0.8%)

series48.0ms (3.1%)

simplify58.0ms (3.8%)

prune32.0ms (2.1%)

localize9.0ms (0.6%)

rewrite49.0ms (3.2%)

series136.0ms (9%)

simplify108.0ms (7.1%)

prune129.0ms (8.5%)

regimes37.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample518.0ms (34.1%)

Profiling