Details

sample1.1s

Algorithm

intervals

Results

623.0ms

2522×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	5250	95

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 26.0b

Counts

2 → 1

localize67.0ms

Local error

Found 4 expressions with local error:

8.3b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

10.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
15.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
58.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
58.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
55.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5019	2980

prune444.0ms

Filtered

99 candidates to 132 candidates (-33.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	114	18	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	18	133

Merged error: 16.1b

Counts

133 → 18

localize75.0ms

Local error

Found 4 expressions with local error:

7.9b	(cbrt (- (* t y2) (* y y3)))
8.3b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

4.0ms	(cbrt (- (* t y2) (* y y3)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (- (* t y2) (* y y3)))
58.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
56.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
59.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5098	2468

prune357.0ms

Filtered

92 candidates to 115 candidates (-25.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	116	17	133

Merged error: 15.9b

Counts

133 → 17

localize73.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.3b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

10.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
55.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
57.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
60.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify38.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4999	2976
1	4999	2976

prune414.0ms

Filtered

102 candidates to 132 candidates (-29.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	129	20	149

Merged error: 14.6b

Counts

149 → 20

localize71.0ms

Local error

Found 4 expressions with local error:

9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
11.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
58.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
56.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
58.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5057	2960

prune189.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	132	20	152

Merged error: 14.6b

Counts

152 → 20

regimes6.0s

Accuracy

-8.6% (12.4b remaining)

Error of 28.0b against oracle of 15.6b and baseline of 27.0b

bsearch1.5s

Steps

Iters	Range		Point
7	5.4063795602065796e-45	1.5223710270051698e-43	2.1965330079210014e-44
8	5.5443877641388646e-120	1.1575381874107273e-115	2.47854626503355e-117
6	5.801494699808126e-264	6.80221626845611e-263	1.060405106921018e-263
1	-6.46686552647192e-178	-5.949370508812812e-178	-6.07874426322759e-178

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	167	485
1	167	485

end0.0ms

sample29.9s

Algorithm

intervals

Results

17.9s

72998×

body

valid

Details

sample1.1s

simplify13.0ms

prune20.0ms

localize67.0ms

rewrite48.0ms

series228.0ms

simplify39.0ms

prune444.0ms

localize75.0ms

rewrite36.0ms

series215.0ms

simplify46.0ms

prune357.0ms

localize73.0ms

rewrite43.0ms

series231.0ms

simplify38.0ms

prune414.0ms

localize71.0ms

rewrite45.0ms

series229.0ms

simplify43.0ms

prune189.0ms

regimes6.0s

bsearch1.5s

simplify3.0ms

end0.0ms

sample29.9s

Profiling