Details

analyze165.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26
0	2	2
1	2	2

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%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Symmetry

Compiler

Compiled 12 to 9 computations (25% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (0.2%)

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 29 to 22 computations (24.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite38.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_14780`
4×	`sum-log_binary64_14832`
2×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `flip3-+_binary64_14744` `*-un-lft-identity_binary64_14741` `flip-+_binary64_14715` `+-commutative_binary64_14671`
1×	`associate-+l+_binary64_14674` `distribute-lft-out_binary64_14692`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 519 to 236 computations (54.5% saved)

series183.0ms (8.4%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

123.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
45.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify82.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune32.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Error

0.0b

Counts

48 → 2

Compiler

Compiled 540 to 271 computations (49.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 2 x)))
0.0b	(*.f64 x (+.f64 2 x))
0.1b	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3)
40.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3))

rewrite121.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
12×	`add-cube-cbrt_binary64_14776` `cbrt-prod_binary64_14772`
7×	`pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
6×	`add-log-exp_binary64_14780` `unpow-prod-down_binary64_14820` `cube-prod_binary64_14769`
4×	`flip3-+_binary64_14744` `cube-div_binary64_14770` `flip-+_binary64_14715` `associate-r_binary64_14681`
3×	`pow-unpow_binary64_14818` `associate-l_binary64_14682`
2×	`cbrt-div_binary64_14773` `unpow3_binary64_14807` `cube-mult_binary64_14771` `sqr-pow_binary64_14713` `distribute-rgt-in_binary64_14691` `distribute-lft-in_binary64_14690` `associate-*r/_binary64_14683` `associate-+r+_binary64_14673`
1×	`pow1/3_binary64_14823` `rem-cbrt-cube_binary64_14765` `pow-pow_binary64_14813` `pow-to-exp_binary64_14810` `pow-exp_binary64_14809` `rem-cube-cbrt_binary64_14764` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `unswap-sqr_binary64_14709` `distribute-lft-out_binary64_14692` `*-commutative_binary64_14672` `sum-log_binary64_14832` `+-commutative_binary64_14671`

Counts

4 → 84

Calls

4 calls:

10.0ms	(*.f64 x (+.f64 2 x))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3))
5.0ms	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3)
4.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 2 x)))

Compiler

Compiled 1904 to 1155 computations (39.3% saved)

series529.0ms (24.3%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

184.0ms	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3)
128.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 2 x))) 3))
117.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 2 x)))
33.0ms	(*.f64 x (+.f64 2 x))

Compiler

Compiled 2402 to 2019 computations (15.9% saved)

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5061	2676

prune127.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

0.0b

Counts

146 → 2

Compiler

Compiled 2456 to 1517 computations (38.2% saved)

regimes123.0ms (5.7%)

Accuracy

Total 0.0b remaining (60.9%)

Threshold costs 0.0b (60.9%)

Compiler

Compiled 771 to 627 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

Removed

()

end0.0ms (0%)

sample674.0ms (31%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 179 to 144 computations (19.6% saved)

Details

analyze165.0ms (7.6%)

sample15.0ms (0.7%)

simplify8.0ms (0.3%)

prune4.0ms (0.2%)

localize7.0ms (0.3%)

rewrite38.0ms (1.8%)

series183.0ms (8.4%)

simplify82.0ms (3.8%)

prune32.0ms (1.5%)

localize9.0ms (0.4%)

rewrite121.0ms (5.5%)

series529.0ms (24.3%)

simplify57.0ms (2.6%)

prune127.0ms (5.8%)

regimes123.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample674.0ms (31%)

Profiling