Details

sample83.0ms

Algorithm

intervals

Results

35.0ms	102×	body	2560	valid
18.0ms	75×	body	1280	valid
8.0ms	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

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	43	7
2	84	7
3	155	7
4	262	7
5	454	7
6	2865	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

localize7.0ms

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)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

269.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
29.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	164	119
1	601	113
2	2415	111
3	5001	109

prune39.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

Calls

4 calls:

7.0ms	(* (/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
3.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4)))
3.0ms	(* 5.0 (pow v 2))
2.0ms	(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0))
83.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4)))
24.0ms	(* 5.0 (pow v 2))
9.0ms	(acos (* (/ (- 1.0 (* 5.0 (pow v 2))) (fma (- 1.0) 1.0 (pow v 4))) (+ (* v v) 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	419	482
1	2044	456
2	5002	442

prune146.0ms

Filtered

45 candidates to 36 candidates (80.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0.4b

Counts

47 → 2

regimes46.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	3066×	body	2560	valid
579.0ms	2454×	body	1280	valid
245.0ms	8149×	body	80	nan
208.0ms	1226×	body	640	valid
76.0ms	609×	body	320	valid
36.0ms	423×	body	160	valid
11.0ms	222×	body	80	valid