Details

sample915.0ms

Algorithm

intervals

Results

516.0ms

2460×

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

prune22.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 31.3b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune3.0s

Filtered

132 candidates to 100 candidates (24.2%)

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: 22.8b

Counts

133 → 21

localize69.0ms

Local error

Found 4 expressions with local error:

9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 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:

9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
14.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
52.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify111.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	821	1572
1	4012	1452
2	5001	1452

prune2.4s

Filtered

132 candidates to 96 candidates (27.3%)

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: 22.8b

Counts

153 → 21

localize67.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

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

series203.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
51.0ms	(* (- (* 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	5001	1484

prune2.4s

Filtered

132 candidates to 100 candidates (24.2%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	1	18	19
Picked	1	0	1
Done	0	1	1
Total	127	26	153

Merged error: 20.8b

Counts

153 → 26

localize65.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.6b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

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

series203.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5002	1484

prune2.4s

Filtered

132 candidates to 100 candidates (24.2%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	23	24
Picked	1	0	1
Done	0	1	1
Total	132	26	158

Merged error: 20.8b

Counts

158 → 26

regimes11.9s

Accuracy

-14.7% (12.4b remaining)

Error of 29.0b against oracle of 16.5b and baseline of 27.4b

bsearch1.3s

Steps

Iters	Range		Point
9	3.6456348349784887e-284	2.4096769227997153e-277	3.157092628895259e-279
7	-6.651975899667882e-176	-1.958705678529788e-177	-6.2970949423114624e-176

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	161	168
1	161	168

end0.0ms

sample26.7s

Algorithm

intervals

Results

15.7s

74704×

body

valid

Details

sample915.0ms

simplify45.0ms

prune22.0ms

localize60.0ms

rewrite35.0ms

series201.0ms

simplify43.0ms

prune3.0s

localize69.0ms

rewrite42.0ms

series202.0ms

simplify111.0ms

prune2.4s

localize67.0ms

rewrite35.0ms

series203.0ms

simplify41.0ms

prune2.4s

localize65.0ms

rewrite35.0ms

series203.0ms

simplify42.0ms

prune2.4s

regimes11.9s

bsearch1.3s

simplify3.0ms

end0.0ms

sample26.7s

Profiling