Details

analyze524.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample29.0ms

Algorithm

intervals

Results

6.0ms	186×	body	128	valid
6.0ms	19×	body	2048	valid
3.0ms	26×	body	1024	valid
2.0ms	17×	body	512	valid
1.0ms	43×	body	128	invalid
1.0ms	9×	body	512	invalid
0.0ms	8×	body	256	valid
0.0ms	3×	body	1024	invalid
0.0ms	4×	body	256	invalid

simplify260.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (253.0ms)

Iter	Nodes	Cost
0	6472	7

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(*.f64 y (-.f64 x z))

simplify69.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5893	254

prune20.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4943	170
1	4943	170

prune12.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.2b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
10.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
79.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5173	641

prune26.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

2.2b	(-.f64 (.f64 x x) (.f64 z z))
9.3b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
20.4b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 z z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
10.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

series329.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(-.f64 (.f64 x x) (.f64 z z))
119.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
170.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5048	1009

prune33.0ms

Filtered

49 candidates to 71 candidates (-44.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms

sample758.0ms

Algorithm

intervals

Results

188.0ms	5791×	body	128	valid
105.0ms	856×	body	1024	valid
73.0ms	459×	body	2048	valid
49.0ms	549×	body	512	valid
42.0ms	1328×	body	128	invalid
27.0ms	304×	body	512	invalid
25.0ms	189×	body	1024	invalid
21.0ms	345×	body	256	valid
13.0ms	175×	body	256	invalid

Details

analyze524.0ms

sample29.0ms

simplify260.0ms

prune3.0ms

localize4.0ms

rewrite8.0ms

series68.0ms

simplify69.0ms

prune20.0ms

localize6.0ms

rewrite5.0ms

series66.0ms

simplify75.0ms

prune12.0ms

localize8.0ms

rewrite22.0ms

series164.0ms

simplify55.0ms

prune26.0ms

localize8.0ms

rewrite26.0ms

series329.0ms

simplify58.0ms

prune33.0ms

regimes37.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample758.0ms

Profiling