Details

sample181.0ms

Algorithm

intervals

Results

61.0ms	51×	body	2560	valid
56.0ms	79×	body	1280	valid
15.0ms	34×	body	640	valid
14.0ms	5×	body	5120	valid
7.0ms	21×	body	320	valid
6.0ms	61×	body	80	valid
1.0ms	5×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

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: 46.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
33.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
11.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune426.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	51	23	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	23	75

Merged error: 41.0b

Counts

75 → 23

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
37.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune366.0ms

Filtered

85 candidates to 66 candidates (77.6%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	67	18	85
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	73	35	108

Merged error: 39.4b

Counts

108 → 35

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune123.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	34	34
Picked	1	1
Done	0	0
Total	35	35

Merged error: 39.4b

Counts

35 → 35

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
2.2b	(* (* t z) (fma 2.0 y 1.0))
37.0b	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

4.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
5.0ms	(* (* t z) (fma 2.0 y 1.0))
2.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
51.0ms	(* (* t z) (fma 2.0 y 1.0))
27.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	390
1	1026	326
2	4815	326
3	5001	326

prune137.0ms

Filtered

60 candidates to 40 candidates (66.7%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	6	27	33
Picked	1	0	1
Done	0	1	1
Total	58	37	95

Merged error: 39.2b

Counts

95 → 37

regimes2.1s

Accuracy

0% (4.8b remaining)

Error of 44.6b against oracle of 39.8b and baseline of 44.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	0
1	8	0
2	8	0

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	1805×	body	2560	valid
1.6s	2338×	body	1280	valid
519.0ms	1115×	body	640	valid
204.0ms	1862×	body	80	valid
189.0ms	580×	body	320	valid
156.0ms	57×	body	5120	valid
57.0ms	243×	body	160	valid