Details

sample862.0ms

Algorithm

intervals

Results

625.0ms

2411×

body

valid

simplify47.0ms

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

prune12.0ms

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: 27.4b

Counts

2 → 1

localize82.0ms

Local error

Found 4 expressions with local error:

9.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 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 y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
168.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
167.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
166.0ms	(* (- (* 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	1076	1572
1	5002	1484

prune1.9s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	111	21	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Merged error: 17.8b

Counts

133 → 21

localize75.0ms

Local error

Found 4 expressions with local error:

9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.7b	(* (- (* 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 j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series660.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
163.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
166.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
169.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify81.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	568	1572
1	2733	1452
2	5001	1452

prune1.9s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	132	21	153

Merged error: 17.8b

Counts

153 → 21

localize76.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.7b	(* (- (* 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	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
170.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
170.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
172.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify114.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	823	1572
1	4017	1452
2	5001	1452

prune1.9s

Filtered

132 candidates to 96 candidates (72.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	19	19
Picked	1	0	1
Done	0	1	1
Total	132	21	153

Merged error: 17.8b

Counts

153 → 21

localize75.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

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

series683.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
170.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
171.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
172.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	0	19	19
Picked	1	0	1
Done	0	1	1
Total	127	26	153

Merged error: 15.9b

Counts

153 → 26

regimes6.7s

Accuracy

-19.3% (13.0b remaining)

Error of 29.6b against oracle of 16.6b and baseline of 27.5b

bsearch1.7s

Steps

Iters	Range	Point
7	2.049202332535347e-21	4.5752495826343847e-20	3.4959747122124034e-21
9	2.0589736110383116e-304	5.523932039091424e-298	2.4023730091179e-303
5	-3.108614703165698e-225	-1.1551753459665507e-225	-1.9019294863745165e-225

Iters

Range

Point

2.049202332535347e-21

4.5752495826343847e-20

3.4959747122124034e-21

2.0589736110383116e-304

5.523932039091424e-298

2.4023730091179e-303

-3.108614703165698e-225

-1.1551753459665507e-225

-1.9019294863745165e-225

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	193	204
1	197	204
2	197	204

end0.0ms

sample22.9s

Algorithm

intervals

Results

17.4s

71983×

body

valid

Details

sample862.0ms

simplify47.0ms

prune12.0ms

localize82.0ms

rewrite37.0ms

series666.0ms

simplify41.0ms

prune1.9s

localize75.0ms

rewrite39.0ms

series660.0ms

simplify81.0ms

prune1.9s

localize76.0ms

rewrite39.0ms

series684.0ms

simplify114.0ms

prune1.9s

localize75.0ms

rewrite38.0ms

series683.0ms

simplify42.0ms

prune1.8s

regimes6.7s

bsearch1.7s

simplify4.0ms

end0.0ms

sample22.9s

Profiling