Details

sample82.0ms

Algorithm

intervals

Results

34.0ms	102×	body	2560	valid
19.0ms	75×	body	1280	valid
7.0ms	45×	body	640	valid
7.0ms	249×	body	80	nan
2.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	6×	body	80	valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2776	7
7	5002	7

prune2.0ms

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: 0.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`acos-asin` `frac-2neg` `div-sub` `clear-num` `div-inv`

Counts

3 → 12

Calls

3 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
24.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	157	119
1	578	117
2	2156	114
3	5001	114

prune42.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.4b

Counts

22 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
0.0b	(/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4)))
0.1b	(* 5.0 (pow v 2))
0.4b	(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`flip3-+` `flip-+` `associate-/l/`
5×	`associate-*l/`
4×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
3×	`associate-l`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-r` `-commutative` `div-inv`
1×	`acos-asin` `div-sub` `unpow2` `sqr-pow`

Counts

4 → 37

Calls

4 calls:

198.0ms	(* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
6.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4)))
3.0ms	(* 5.0 (pow v 2))
2.0ms	(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0))
78.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4)))
25.0ms	(* 5.0 (pow v 2))
7.0ms	(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (+ (- (* 1.0 1.0)) (pow v 4))) (+ (* v v) 1.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	474	565
1	2689	551
2	5001	551

prune156.0ms

Filtered

49 candidates to 40 candidates (81.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Merged error: 0.4b

Counts

51 → 2

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	3066×	body	2560	valid
546.0ms	2454×	body	1280	valid
230.0ms	8149×	body	80	nan
199.0ms	1226×	body	640	valid
73.0ms	609×	body	320	valid
34.0ms	423×	body	160	valid
10.0ms	222×	body	80	valid