Details

sample173.0ms

Algorithm

intervals

Results

67.0ms	57×	body	2560	valid
51.0ms	72×	body	1280	valid
18.0ms	42×	body	640	valid
7.0ms	65×	body	80	valid
5.0ms	15×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	4×	body	160	valid

simplify88.0ms

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: 45.2b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite28.0ms

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:

9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
6.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (44.0ms)

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

prune427.0ms

Filtered

74 candidates to 60 candidates (81.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	53	21	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	21	75

Merged error: 40.4b

Counts

75 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.7b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`pow1` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r` `prod-exp`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
5.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* a 2.0) 1.0) b)
69.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	332	577
1	1300	472
2	5002	465

prune365.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	65	21	86
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	72	35	107

Merged error: 38.9b

Counts

107 → 35

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune119.0ms

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: 38.9b

Counts

35 → 35

localize18.0ms

Local error

Found 4 expressions with local error:

7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
7.6b	(cbrt (* (+ (* a 2.0) 1.0) b))
35.4b	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 48

Calls

4 calls:

5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
5.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
2.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

series433.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
131.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
123.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
55.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	250	783
1	693	706
2	2362	664
3	5001	592

prune502.0ms

Filtered

60 candidates to 59 candidates (98.3%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	48	12	60
Fresh	3	30	33
Picked	1	0	1
Done	0	1	1
Total	52	43	95

Merged error: 38.7b

Counts

95 → 43

regimes2.3s

Accuracy

0% (4.5b remaining)

Error of 44.3b against oracle of 39.8b and baseline of 44.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	1851×	body	2560	valid
1.6s	2246×	body	1280	valid
571.0ms	1215×	body	640	valid
209.0ms	1897×	body	80	valid
178.0ms	513×	body	320	valid
119.0ms	44×	body	5120	valid
54.0ms	234×	body	160	valid