Details

sample167.0ms

Algorithm

intervals

Results

71.0ms	64×	body	2560	valid
40.0ms	65×	body	1280	valid
18.0ms	36×	body	640	valid
6.0ms	63×	body	80	valid
5.0ms	2×	body	5120	valid
5.0ms	18×	body	320	valid
2.0ms	8×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	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: 45.6b

Counts

2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
32.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite23.0ms

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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

8.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(* (* (+ (* 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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune306.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	49	17	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	17	67

Merged error: 41.6b

Counts

67 → 17

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
32.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`prod-exp`
6×	`associate-r` `pow-prod-down` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/`
3×	`add-log-exp`
2×	`associate-l` `*-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 46

Calls

3 calls:

5.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
8.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	288	439
1	1183	351
2	5002	347

prune230.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	40	15	55
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	44	28	72

Merged error: 39.9b

Counts

72 → 28

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

prune94.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	27	27
Picked	1	1
Done	0	0
Total	28	28

Merged error: 39.9b

Counts

28 → 28

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.5b	(* (+ (* a 2.0) 1.0) (* b t))
32.5b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`prod-exp`
6×	`pow-prod-down` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 46

Calls

3 calls:

5.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
7.0ms	(* (+ (* a 2.0) 1.0) (* b t))
3.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
41.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	279	438
1	1080	352
2	4023	348
3	5001	348

prune114.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	4	22	26
Picked	1	0	1
Done	0	1	1
Total	53	30	83

Merged error: 39.8b

Counts

83 → 30

regimes1.5s

Accuracy

0% (4.1b remaining)

Error of 43.5b against oracle of 39.4b and baseline of 43.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	1797×	body	2560	valid
1.4s	2191×	body	1280	valid
528.0ms	1199×	body	640	valid
190.0ms	1994×	body	80	valid
166.0ms	516×	body	320	valid
94.0ms	36×	body	5120	valid
61.0ms	267×	body	160	valid

Details

sample167.0ms

simplify87.0ms

prune4.0ms

localize29.0ms

rewrite23.0ms

series154.0ms

simplify54.0ms

prune306.0ms

localize13.0ms

rewrite16.0ms

series140.0ms

simplify36.0ms

prune230.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune94.0ms

localize18.0ms

rewrite16.0ms

series138.0ms

simplify99.0ms

prune114.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.9s

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