Details

sample710.0ms

Algorithm

intervals

Results

482.0ms

2355×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune14.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 27.1b

Counts

2 → 1

localize58.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.7b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite40.0ms

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	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
11.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
167.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
168.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
168.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	112	20	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	20	133

Merged error: 17.6b

Counts

133 → 20

localize69.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite40.0ms

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:

9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
171.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
171.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify82.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	557	1572
1	2694	1452
2	5001	1452

prune1.9s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	18	19
Picked	0	1	1
Done	0	0	0
Total	132	20	152

Merged error: 17.6b

Counts

152 → 20

localize77.0ms

Local error

Found 4 expressions with local error:

8.7b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite40.0ms

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)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series689.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
176.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
171.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
174.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify114.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	820	1572
1	4001	1452
2	5001	1452

prune2.2s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	132	20	152

Merged error: 17.6b

Counts

152 → 20

localize69.0ms

Local error

Found 4 expressions with local error:

8.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.7b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite38.0ms

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

series675.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
168.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
166.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune1.6s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	127	25	152

Merged error: 16.1b

Counts

152 → 25

regimes6.5s

Accuracy

-24.5% (13.1b remaining)

Error of 29.3b against oracle of 16.1b and baseline of 26.7b

bsearch1.5s

Steps

Iters	Range	Point
6	2.992281666342308e-55	4.7444043870127327e-54	4.041873318466748e-55
7	1.8147825690521452e-193	1.0245732417840539e-191	1.9730859358057872e-192
7	-2.567737881727081e-181	-1.2495034469104499e-182	-5.350791858218338e-182

Iters

Range

Point

2.992281666342308e-55

4.7444043870127327e-54

4.041873318466748e-55

1.8147825690521452e-193

1.0245732417840539e-191

1.9730859358057872e-192

-2.567737881727081e-181

-1.2495034469104499e-182

-5.350791858218338e-182

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	177	193
1	183	193
2	183	193

end0.0ms

sample21.5s

Algorithm

intervals

Results

15.3s

72713×

body

valid

Details

sample710.0ms

simplify46.0ms

prune14.0ms

localize58.0ms

rewrite40.0ms

series670.0ms

simplify45.0ms

prune1.8s

localize69.0ms

rewrite40.0ms

series681.0ms

simplify82.0ms

prune1.9s

localize77.0ms

rewrite40.0ms

series689.0ms

simplify114.0ms

prune2.2s

localize69.0ms

rewrite38.0ms

series675.0ms

simplify41.0ms

prune1.6s

regimes6.5s

bsearch1.5s

simplify4.0ms

end0.0ms

sample21.5s

Profiling