Details

sample696.0ms

Algorithm

intervals

Results

484.0ms

2296×

body

valid

simplify43.0ms

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

prune13.0ms

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: 28.3b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite44.0ms

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:

15.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
188.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
161.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
164.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

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: 20.3b

Counts

133 → 18

localize69.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite39.0ms

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

series682.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
173.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
170.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
169.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune1.9s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	128	22	150

Merged error: 18.2b

Counts

150 → 22

localize70.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite44.0ms

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

series669.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
168.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
165.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune2.1s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	132	22	154

Merged error: 18.2b

Counts

154 → 22

localize71.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.1b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.0b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

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:

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

series685.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
173.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
170.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
167.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5002	1484

prune1.6s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	20	20
Picked	0	1	1
Done	0	1	1
Total	132	22	154

Merged error: 18.2b

Counts

154 → 22

regimes6.0s

Accuracy

-16.2% (12.7b remaining)

Error of 29.1b against oracle of 16.4b and baseline of 27.3b

bsearch1.2s

Steps

Iters	Range	Point
5	5.166414315807372e-111	1.7660004053412466e-110	9.396988799549284e-111
5	2.507612806281006e-277	9.38335032616299e-277	3.935353822114726e-277
6	-1.3052345268439158e-177	-1.2401804953950257e-178	-4.938470443767385e-178

Iters

Range

Point

5.166414315807372e-111

1.7660004053412466e-110

9.396988799549284e-111

2.507612806281006e-277

9.38335032616299e-277

3.935353822114726e-277

-1.3052345268439158e-177

-1.2401804953950257e-178

-4.938470443767385e-178

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	196	222
1	198	222
2	198	222

end0.0ms

sample21.3s

Algorithm

intervals

Results

15.5s

72054×

body

valid