Details

analyze53.0ms

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid
0.0ms	2×	body	80	nan

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	1582	12
1	1582	12

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.4b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(/.f64 1/9 x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `frac-add_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 75

Calls

3 calls:

15.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

series21.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
5.0ms	(*.f64 3 (sqrt.f64 x))
2.0ms	(/.f64 1/9 x)

simplify27.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5169	747

prune130.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	71	13	84
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	14	86

Merged error: 0.0b

Counts

86 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
0.3b	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
0.3b	(*.f64 (sqrt.f64 x) 3)
0.4b	(/.f64 1/3 x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`times-frac_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow1_binary64` `associate-l_binary64`
9×	`sqrt-prod_binary64`
6×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-r/_binary64` `associate-/l_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `flip-+_binary64`

Counts

4 → 110

Calls

4 calls:

10.0ms	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
8.0ms	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
5.0ms	(*.f64 (sqrt.f64 x) 3)
3.0ms	(/.f64 1/3 x)

series23.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
6.0ms	(*.f64 (sqrt.f64 x) (/.f64 1/3 x))
5.0ms	(*.f64 (sqrt.f64 x) 3)
2.0ms	(/.f64 1/3 x)

simplify59.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4916	916
1	4916	916

prune156.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	124	12	136

Merged error: 0.0b

Counts

136 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1) (.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
0.1b	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
0.3b	(*.f64 (sqrt.f64 x) 3)
0.4b	(/.f64 1/3 (sqrt.f64 x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
16×	`sqrt-prod_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
8×	`associate-r_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip-+_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-sqr--1_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

4 calls:

12.0ms	(+.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1) (.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
8.0ms	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
5.0ms	(*.f64 (sqrt.f64 x) 3)
4.0ms	(/.f64 1/3 (sqrt.f64 x))

series43.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1) (.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1)))
12.0ms	(.f64 (.f64 (sqrt.f64 x) 3) (+.f64 y -1))
5.0ms	(*.f64 (sqrt.f64 x) 3)
9.0ms	(/.f64 1/3 (sqrt.f64 x))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4931	1065
1	4931	1065

prune164.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	110	12	122

Merged error: 0.0b

Counts

122 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
0.3b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
0.4b	(/.f64 1/9 x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64` `times-frac_binary64`
6×	`associate-r_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64` `sqrt-prod_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-/l_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 83

Calls

3 calls:

25.0ms	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
29.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
6.0ms	(/.f64 1/9 x)

series27.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1)))
13.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 (/.f64 1/9 x) (+.f64 y -1))))
3.0ms	(/.f64 1/9 x)

simplify69.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4934	969
1	4934	969

prune78.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	92	12	104

Merged error: 0.0b

Counts

104 → 12

regimes197.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample506.0ms

Algorithm

intervals

Results

355.0ms	8000×	body	80	valid
9.0ms	124×	body	80	nan
3.0ms	69×	body	80	invalid

Details

analyze53.0ms

sample23.0ms

simplify119.0ms

prune9.0ms

localize8.0ms

rewrite25.0ms

series21.0ms

simplify27.0ms

prune130.0ms

localize10.0ms

rewrite30.0ms

series23.0ms

simplify59.0ms

prune156.0ms

localize10.0ms

rewrite32.0ms

series43.0ms

simplify58.0ms

prune164.0ms

localize14.0ms

rewrite64.0ms

series27.0ms

simplify69.0ms

prune78.0ms

regimes197.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample506.0ms

Profiling