Details

sample830.0ms

Algorithm

intervals

Results

483.0ms

2221×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune12.0ms

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: 26.1b

Counts

2 → 1

localize58.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite37.0ms

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:

8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
52.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify38.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune569.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	105	27	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	27	133

Merged error: 16.7b

Counts

133 → 27

localize89.0ms

Local error

Found 4 expressions with local error:

7.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.4b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite42.0ms

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:

8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
15.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
53.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune476.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	1	25	26
Picked	1	0	1
Done	0	0	0
Total	130	29	159

Merged error: 15.3b

Counts

159 → 29

localize67.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite42.0ms

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:

8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
14.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify80.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	574	1572
1	2737	1452
2	5001	1452

prune444.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	28	28
Picked	0	1	1
Done	0	0	0
Total	132	29	161

Merged error: 15.3b

Counts

161 → 29

localize67.0ms

Local error

Found 4 expressions with local error:

7.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.4b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

rewrite35.0ms

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:

8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune177.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	27	27
Picked	1	0	1
Done	0	1	1
Total	132	29	161

Merged error: 15.3b

Counts

161 → 29

regimes7.7s

Accuracy

-16.6% (12.5b remaining)

Error of 29.4b against oracle of 16.8b and baseline of 27.6b

bsearch1.5s

Steps

Iters	Range		Point
6	1.3330324606372001e-134	9.85990849777471e-134	8.859462695907203e-134
9	-6.758489632385195e-186	-1.2490362050831553e-192	-1.6569141190871772e-186
7	-5.929410089973885e-153	-4.444273177855752e-155	-1.231684909130243e-154
8	-6.061448316758878e-82	-2.85046091236505e-85	-1.0433057092083044e-82

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	216	266
1	220	266
2	220	266

end0.0ms

sample27.0s

Algorithm

intervals

Results

15.9s

74009×

body

valid

Details

sample830.0ms

simplify44.0ms

prune12.0ms

localize58.0ms

rewrite37.0ms

series199.0ms

simplify38.0ms

prune569.0ms

localize89.0ms

rewrite42.0ms

series203.0ms

simplify40.0ms

prune476.0ms

localize67.0ms

rewrite42.0ms

series196.0ms

simplify80.0ms

prune444.0ms

localize67.0ms

rewrite35.0ms

series199.0ms

simplify40.0ms

prune177.0ms

regimes7.7s

bsearch1.5s

simplify5.0ms

end0.0ms

sample27.0s

Profiling