Details

sample89.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

44.0ms

563×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune6.0ms

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: 12.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.2b	(* b (- (* c z) (* t i)))
5.0b	(* j (- (* c a) (* y i)))
5.9b	(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* c a) (* y i))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c a) (* y i))
18.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* j (- (* c a) (* y i)))
18.0ms	(* x (- (* y z) (* t a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune236.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 9.6b

Counts

97 → 20

localize26.0ms

Local error

Found 4 expressions with local error:

5.9b	(* x (- (* y z) (* t a)))
6.6b	(cbrt (- (* c a) (* y i)))
6.6b	(cbrt (- (* c a) (* y i)))
6.6b	(cbrt (- (* c a) (* y i)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (- (* y z) (* t a)))
38.0ms	(cbrt (- (* c a) (* y i)))
38.0ms	(cbrt (- (* c a) (* y i)))
36.0ms	(cbrt (- (* c a) (* y i)))

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	314	602
1	1079	555
2	3847	543
3	5001	534

prune220.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	74	21	95

Merged error: 9.6b

Counts

95 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt j) (- (* c a) (* y i)))
3.1b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.2b	(* b (- (* c z) (* t i)))
5.9b	(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

8.0ms	(* (cbrt j) (- (* c a) (* y i)))
11.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt j) (- (* c a) (* y i)))
23.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
18.0ms	(* b (- (* c z) (* t i)))
17.0ms	(* x (- (* y z) (* t a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	593	987
1	2490	787
2	5001	724

prune252.0ms

Filtered

71 candidates to 120 candidates (-69.0%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	117	24	141

Merged error: 8.1b

Counts

141 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (cbrt j) (- (* c a) (* y i)))
2.2b	(* (cbrt j) (* (cbrt j) (- (* c a) (* y i))))
4.2b	(* b (- (* c z) (* t i)))
5.9b	(* x (- (* y z) (* t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-l`
15×	`pow1` `add-exp-log`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`sub-neg` `associate-r/` `associate-r*`
7×	`cbrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (cbrt j) (- (* c a) (* y i)))
9.0ms	(* (cbrt j) (* (cbrt j) (- (* c a) (* y i))))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* x (- (* y z) (* t a)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (cbrt j) (- (* c a) (* y i)))
84.0ms	(* (cbrt j) (* (cbrt j) (- (* c a) (* y i))))
22.0ms	(* b (- (* c z) (* t i)))
17.0ms	(* x (- (* y z) (* t a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	577	890
1	2354	817
2	5001	817

prune113.0ms

Filtered

80 candidates to 119 candidates (-48.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	1	22	23
Picked	0	1	1
Done	0	0	0
Total	117	26	143

Merged error: 7.9b

Counts

143 → 26

regimes2.5s

Accuracy

3.4% (5.6b remaining)

Error of 12.7b against oracle of 7.1b and baseline of 12.9b

bsearch152.0ms

Steps

Iters	Range		Point
10	2.431080689355236e-223	2.322315520728583e-211	2.161735039489693e-212
11	-4.147890276644767e-209	-3.9131223288507545e-233	-2.22512872738622e-214

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	45
1	67	45
2	74	45
3	74	45

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.5s

19010×

body

valid

Details

sample89.0ms

simplify80.0ms

prune6.0ms

localize22.0ms

rewrite22.0ms

series66.0ms

simplify52.0ms

prune236.0ms

localize26.0ms

rewrite17.0ms

series129.0ms

simplify100.0ms

prune220.0ms

localize24.0ms

rewrite34.0ms

series128.0ms

simplify67.0ms

prune252.0ms

localize25.0ms

rewrite30.0ms

series189.0ms

simplify65.0ms

prune113.0ms

regimes2.5s

bsearch152.0ms

simplify3.0ms

end0.0ms

sample2.7s

Profiling