Details

analyze74.0ms

Algorithm

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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify167.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4954	25
1	4954	25

prune1.0ms

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

Merged error: 19.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.7b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

60×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*l/_binary64`
27×	`*-un-lft-identity_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*r/_binary64`
15×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`distribute-lft-out_binary64` `associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`swap-sqr_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 140

Calls

3 calls:

9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
20.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
19.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
30.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
94.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify105.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4981	3756
1	4981	3756

prune133.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	12	150

Merged error: 7.7b

Counts

150 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 6)
0.1b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
19.0b	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
19.7b	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
19×	`add-exp-log_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
15×	`add-cbrt-cube_binary64`
13×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64`
11×	`associate-l_binary64`
7×	`pow1_binary64`
6×	`distribute-lft-out_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate-/r_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 x y) 6)
14.0ms	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
14.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow.f64 (+.f64 x y) 6)
31.0ms	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
12.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
98.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

simplify83.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4966	1924
1	4966	1924

prune85.0ms

Filtered

68 candidates to 104 candidates (-52.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	103	13	116

Merged error: 7.7b

Counts

116 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) (/.f64 6 2))
0.1b	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
19.7b	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
38.2b	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
24×	`add-cbrt-cube_binary64`
23×	`*-un-lft-identity_binary64`
20×	`associate-*r/_binary64`
17×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`cbrt-prod_binary64`
13×	`pow-unpow_binary64`
12×	`flip3-+_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `flip-+_binary64`
11×	`associate-l_binary64`
10×	`pow1_binary64` `times-frac_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64`
2×	`div-inv_binary64`
1×	`pow-to-exp_binary64` `associate-/r_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

6.0ms	(pow.f64 (+.f64 x y) (/.f64 6 2))
20.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
19.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow.f64 (+.f64 x y) (/.f64 6 2))
47.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
139.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
21.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

simplify115.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5062	2124

prune126.0ms

Filtered

88 candidates to 127 candidates (-44.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	8	2	10
Picked	0	1	1
Done	2	0	2
Total	134	6	140

Merged error: 3.5b

Counts

140 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(pow.f64 (+.f64 x y) 2)
0.0b	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2))))
15.9b	(/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity_binary64`
76×	`times-frac_binary64`
60×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64`
36×	`distribute-lft-out_binary64`
30×	`associate-r_binary64`
22×	`unpow2_binary64`
21×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-l_binary64`
14×	`distribute-rgt-out_binary64`
12×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64` `distribute-rgt1-in_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `pow-pow_binary64` `sqr-pow_binary64` `frac-times_binary64` `pow-exp_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 173

Calls

4 calls:

5.0ms	(/.f64 x (+.f64 x y))
4.0ms	(pow.f64 (+.f64 x y) 2)
28.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2))))
12.0ms	(/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/.f64 x (+.f64 x y))
13.0ms	(pow.f64 (+.f64 x y) 2)
103.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2))))
58.0ms	(/.f64 y (+.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 2)))

simplify96.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5034	3546

prune132.0ms

Filtered

129 candidates to 185 candidates (-43.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	180	5	185
Fresh	3	1	4
Picked	0	1	1
Done	1	0	1
Total	184	7	191

Merged error: 0.0b

Counts

191 → 7

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	25
1	15	25

end0.0ms

sample384.0ms

Algorithm

intervals

Results

262.0ms

8000×

body

valid

Details

analyze74.0ms

sample14.0ms

simplify167.0ms

prune1.0ms

localize8.0ms

rewrite55.0ms

series140.0ms

simplify105.0ms

prune133.0ms

localize10.0ms

rewrite39.0ms

series214.0ms

simplify83.0ms

prune85.0ms

localize12.0ms

rewrite54.0ms

series235.0ms

simplify115.0ms

prune126.0ms

localize10.0ms

rewrite57.0ms

series197.0ms

simplify96.0ms

prune132.0ms

regimes30.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample384.0ms

Profiling