Details

analyze96.0ms (3.9%)

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)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify93.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune3.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_16826`
4×	`sum-log_binary64_16878`
2×	`pow1_binary64_16848` `add-cube-cbrt_binary64_16822` `flip-+_binary64_16761` `add-sqr-sqrt_binary64_16809` `add-exp-log_binary64_16825` `*-un-lft-identity_binary64_16787` `+-commutative_binary64_16717` `add-cbrt-cube_binary64_16823` `flip3-+_binary64_16790`
1×	`associate-+l+_binary64_16720`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

series53.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))
26.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

simplify48.0ms (2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4971	549
1	4971	549

prune27.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	30	2	32

Error

0.0b

Counts

32 → 2

Compiler

Compiled 564 to 307 computations (45.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_16809`
4×	`add-log-exp_binary64_16826` `pow1_binary64_16848` `add-cube-cbrt_binary64_16822` `add-exp-log_binary64_16825` `*-un-lft-identity_binary64_16787` `add-cbrt-cube_binary64_16823`
3×	`associate-r_binary64_16727` `associate-l_binary64_16728`
2×	`associate-+l+_binary64_16720` `associate-*r/_binary64_16729` `flip-+_binary64_16761` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `flip3-+_binary64_16790`
1×	`cbrt-unprod_binary64_16820` `sum-log_binary64_16878` `prod-exp_binary64_16836` `*-commutative_binary64_16718` `unswap-sqr_binary64_16755` `+-commutative_binary64_16717` `pow-prod-down_binary64_16858`

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)))

series45.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 x (+.f64 x (.f64 2 y)))
20.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5056	646

prune32.0ms (1.3%)

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

0.0b

Counts

43 → 2

Compiler

Compiled 713 to 387 computations (45.7% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))
1.7b	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
4.3b	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))
34.1b	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y)))

rewrite77.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`pow1_binary64_16848`
20×	`add-sqr-sqrt_binary64_16809` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
18×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
15×	`pow-prod-down_binary64_16858`
12×	`associate-*r/_binary64_16729` `flip-+_binary64_16761` `flip3-+_binary64_16790`
9×	`cbrt-unprod_binary64_16820` `times-frac_binary64_16793` `prod-exp_binary64_16836` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
8×	`frac-times_binary64_16797`
7×	`cancel-sign-sub-inv_binary64_16753`
6×	`add-log-exp_binary64_16826`
5×	`pow-plus_binary64_16850` `pow-prod-up_binary64_16857`
4×	`associate-r_binary64_16727` `associate--l+_binary64_16724` `associate-l_binary64_16728` `associate-*l/_binary64_16730`
3×	`pow2_binary64_16868` `associate-/l_binary64_16732` `swap-sqr_binary64_16754` `flip3--_binary64_16791` `unpow-prod-down_binary64_16866` `associate-/r_binary64_16731` `pow-sqr_binary64_16760` `flip--_binary64_16762`
2×	`*-commutative_binary64_16718` `associate-/l/_binary64_16734` `unswap-sqr_binary64_16755` `associate-/r/_binary64_16733`
1×	`diff-log_binary64_16879` `div-sub_binary64_16792` `cbrt-undiv_binary64_16821` `sub-neg_binary64_16780` `div-exp_binary64_16838` `clear-num_binary64_16786` `sqr-pow_binary64_16759` `frac-2neg_binary64_16798` `div-inv_binary64_16784`

Counts

4 → 130

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y)))
15.0ms	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
13.0ms	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))
7.0ms	(.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))

series163.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
59.0ms	(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y)))
25.0ms	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))
16.0ms	(.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))

simplify92.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	3802
1	4981	3802

prune239.0ms (9.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	142	2	144

Error

Counts

144 → 2

Compiler

Compiled 5306 to 3110 computations (41.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
1.7b	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
4.3b	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))
34.6b	(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))

rewrite84.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`pow1_binary64_16848`
29×	`add-sqr-sqrt_binary64_16809` `add-exp-log_binary64_16825`
23×	`*-un-lft-identity_binary64_16787` `add-cbrt-cube_binary64_16823`
22×	`add-cube-cbrt_binary64_16822`
20×	`times-frac_binary64_16793`
16×	`associate-r_binary64_16727`
15×	`pow-prod-down_binary64_16858`
12×	`prod-exp_binary64_16836`
11×	`associate-*r/_binary64_16729`
10×	`cbrt-unprod_binary64_16820`
8×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
7×	`cancel-sign-sub-inv_binary64_16753`
6×	`add-log-exp_binary64_16826` `flip-+_binary64_16761` `frac-times_binary64_16797` `flip3-+_binary64_16790`
5×	`flip3--_binary64_16791` `flip--_binary64_16762`
4×	`pow-plus_binary64_16850` `div-exp_binary64_16838` `associate--l+_binary64_16724` `associate-l_binary64_16728` `pow-prod-up_binary64_16857` `unswap-sqr_binary64_16755` `associate-/r/_binary64_16733` `associate-*l/_binary64_16730`
3×	`associate-/l_binary64_16732` `unpow-prod-down_binary64_16866` `associate-/r_binary64_16731`
2×	`cbrt-undiv_binary64_16821` `pow2_binary64_16868` `rec-exp_binary64_16837` `1-exp_binary64_16831` `*-commutative_binary64_16718` `pow-sqr_binary64_16760` `div-inv_binary64_16784`
1×	`un-div-inv_binary64_16785` `diff-log_binary64_16879` `sub-neg_binary64_16780` `clear-num_binary64_16786` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `sqr-pow_binary64_16759` `frac-2neg_binary64_16798`

Counts

4 → 138

Calls

4 calls:

27.0ms	(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
15.0ms	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
13.0ms	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))
11.0ms	(/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

series195.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
60.0ms	(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (.f64 2 y)))) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
43.0ms	(/.f64 1 (-.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
24.0ms	(.f64 (.f64 x x) (.f64 (+.f64 x (.f64 2 y)) (+.f64 x (*.f64 2 y))))

simplify105.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4933	4092
1	4933	4092

prune240.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 5811 to 3434 computations (40.9% saved)

regimes79.0ms (3.2%)

Accuracy

Total 0.0b remaining (78.3%)

Threshold costs 0.0b (78.3%)

Compiler

Compiled 861 to 611 computations (29% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample659.0ms (26.6%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
5.0ms	173×	body	128	invalid

Compiler

Compiled 315 to 224 computations (28.9% saved)

Details

analyze96.0ms (3.9%)

sample17.0ms (0.7%)

simplify93.0ms (3.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite14.0ms (0.6%)

series53.0ms (2.1%)

simplify48.0ms (2%)

prune27.0ms (1.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.6%)

series45.0ms (1.8%)

simplify56.0ms (2.3%)

prune32.0ms (1.3%)

localize13.0ms (0.5%)

rewrite77.0ms (3.1%)

series163.0ms (6.6%)

simplify92.0ms (3.7%)

prune239.0ms (9.7%)

localize15.0ms (0.6%)

rewrite84.0ms (3.4%)

series195.0ms (7.9%)

simplify105.0ms (4.2%)

prune240.0ms (9.7%)

regimes79.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample659.0ms (26.6%)

Profiling