Details

sample846.0ms

Algorithm

intervals

Results

555.0ms

2522×

body

valid

simplify43.0ms

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

prune11.0ms

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: 29.1b

Counts

2 → 1

localize58.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

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 y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune402.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

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: 18.1b

Counts

133 → 18

localize65.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite41.0ms

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	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
13.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify105.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	829	1572
1	4030	1452
2	5002	1452

prune362.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	132	18	150

Merged error: 18.1b

Counts

150 → 18

localize67.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

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:

8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
17.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
242.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify84.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	558	1572
1	2704	1452
2	5003	1452

prune327.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	132	18	150

Merged error: 18.1b

Counts

150 → 18

localize66.0ms

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)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

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

series204.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify84.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	558	1572
1	2704	1452
2	5003	1452

prune169.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	131	19	150

Merged error: 18.1b

Counts

150 → 19

regimes5.8s

Accuracy

-13.5% (9.8b remaining)

Error of 28.4b against oracle of 18.6b and baseline of 27.2b

bsearch686.0ms

Steps

Iters	Range		Point
8	2.795990636505562e-175	1.7688172297741703e-172	1.2621982941617119e-172
7	-5.184000505897728e-200	-1.4819798935574936e-201	-3.0209515561888596e-200

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	178	153
1	180	153
2	180	153

end0.0ms

sample24.3s

Algorithm

intervals

Results

16.3s

73833×

body

valid

Details

sample846.0ms

simplify43.0ms

prune11.0ms

localize58.0ms

rewrite37.0ms

series199.0ms

simplify40.0ms

prune402.0ms

localize65.0ms

rewrite41.0ms

series199.0ms

simplify105.0ms

prune362.0ms

localize67.0ms

rewrite45.0ms

series393.0ms

simplify84.0ms

prune327.0ms

localize66.0ms

rewrite42.0ms

series204.0ms

simplify84.0ms

prune169.0ms

regimes5.8s

bsearch686.0ms

simplify4.0ms

end0.0ms

sample24.3s

Profiling