Details

sample765.0ms

Algorithm

intervals

Results

510.0ms

2312×

body

valid

simplify44.0ms

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: 27.7b

Counts

2 → 1

localize59.0ms

Local error

Found 4 expressions with local error:

10.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
11.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 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)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
47.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune440.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

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: 18.3b

Counts

133 → 20

localize68.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 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	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
51.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5002	1484

prune441.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	129	23	152

Merged error: 16.6b

Counts

152 → 23

localize71.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.5b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
11.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 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:

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

series198.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune412.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	131	24	155

Merged error: 16.5b

Counts

155 → 24

localize73.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.2b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 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:

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

series196.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5002	1484

prune171.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	134	22	156

Merged error: 16.5b

Counts

156 → 22

regimes6.2s

Accuracy

-24.8% (13.6b remaining)

Error of 29.8b against oracle of 16.2b and baseline of 27.1b

bsearch1.6s

Steps

Iters	Range		Point
10	3.414085549277405e-14	607.8837712929353	0.40419063301476316
8	1.799326853999766e-139	5.365832221450568e-137	9.746989437764434e-139
9	-2.7242255611897247e-276	-1.177008948348692e-285	-4.73114236634986e-277
9	-6.736260153197541e-76	-2.8829539654763288e-83	-2.650011394575976e-80

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	190	233
1	196	233
2	196	233

end0.0ms

sample24.5s

Algorithm

intervals

Results

16.7s

73499×

body

valid

Details

sample765.0ms

simplify44.0ms

prune11.0ms

localize59.0ms

rewrite36.0ms

series197.0ms

simplify41.0ms

prune440.0ms

localize68.0ms

rewrite36.0ms

series195.0ms

simplify42.0ms

prune441.0ms

localize71.0ms

rewrite41.0ms

series198.0ms

simplify41.0ms

prune412.0ms

localize73.0ms

rewrite34.0ms

series196.0ms

simplify40.0ms

prune171.0ms

regimes6.2s

bsearch1.6s

simplify4.0ms

end0.0ms

sample24.5s

Profiling