Details

sample843.0ms

Algorithm

intervals

Results

478.0ms

2228×

body

valid

simplify45.0ms

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

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: 28.8b

Counts

2 → 1

localize66.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.9b	(* (- (* 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	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5001	1484

prune474.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	113	19	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	19	133

Merged error: 21.9b

Counts

133 → 19

localize68.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.5b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.9b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite34.0ms

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:

7.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
48.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
46.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
82.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify38.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1080	1572
1	5002	1484

prune424.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	128	23	151

Merged error: 19.4b

Counts

151 → 23

localize68.0ms

Local error

Found 4 expressions with local error:

9.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.9b	(* (- (* 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)))
14.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
47.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify119.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	828	1572
1	4030	1452
2	5001	1452

prune415.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	132	23	155

Merged error: 19.4b

Counts

155 → 23

localize75.0ms

Local error

Found 4 expressions with local error:

9.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.9b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite36.0ms

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)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
48.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify116.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	828	1572
1	4030	1452
2	5001	1452

prune174.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	132	23	155

Merged error: 19.4b

Counts

155 → 23

regimes6.3s

Accuracy

-8.2% (11.6b remaining)

Error of 28.5b against oracle of 16.9b and baseline of 27.7b

bsearch752.0ms

Steps

Iters	Range		Point
7	3.1787623399681585e-171	5.383168250817381e-169	1.3816648504084264e-170
7	-4.132361115517615e-139	-2.4656018027431816e-141	-9.764546717109822e-141

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	144	128
1	144	128

end0.0ms

sample27.2s

Algorithm

intervals

Results

15.7s

72073×

body

valid

Details

sample843.0ms

simplify45.0ms

prune11.0ms

localize66.0ms

rewrite42.0ms

series201.0ms

simplify44.0ms

prune474.0ms

localize68.0ms

rewrite34.0ms

series225.0ms

simplify38.0ms

prune424.0ms

localize68.0ms

rewrite41.0ms

series193.0ms

simplify119.0ms

prune415.0ms

localize75.0ms

rewrite36.0ms

series199.0ms

simplify116.0ms

prune174.0ms

regimes6.3s

bsearch752.0ms

simplify4.0ms

end0.0ms

sample27.2s

Profiling