Details

analyze503.0ms

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

sample25.0ms

Algorithm

intervals

Results

6.0ms	186×	body	128	valid
3.0ms	26×	body	1024	valid
3.0ms	19×	body	2048	valid
2.0ms	48×	body	128	invalid
1.0ms	17×	body	512	valid
1.0ms	6×	body	512	invalid
0.0ms	8×	body	256	valid
0.0ms	3×	body	1024	invalid
0.0ms	2×	body	256	invalid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	5584	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))

rewrite9.0ms

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))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5893	254

prune17.0ms

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)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (65.0ms)

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

localize6.0ms

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)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
80.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

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))

rewrite29.0ms

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)))
13.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

series336.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(-.f64 (.f64 x x) (.f64 z z))
119.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
176.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5048	1009

prune34.0ms

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

regimes35.0ms

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

sample760.0ms

Algorithm

intervals

Results

190.0ms	5793×	body	128	valid
103.0ms	856×	body	1024	valid
68.0ms	458×	body	2048	valid
51.0ms	549×	body	512	valid
50.0ms	1526×	body	128	invalid
21.0ms	344×	body	256	valid
18.0ms	203×	body	512	invalid
17.0ms	143×	body	1024	invalid
10.0ms	124×	body	256	invalid

Details

analyze503.0ms

sample25.0ms

simplify172.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series75.0ms

simplify71.0ms

prune17.0ms

localize6.0ms

rewrite5.0ms

series69.0ms

simplify74.0ms

prune12.0ms

localize6.0ms

rewrite22.0ms

series168.0ms

simplify53.0ms

prune26.0ms

localize8.0ms

rewrite29.0ms

series336.0ms

simplify56.0ms

prune34.0ms

regimes35.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample760.0ms

Profiling