Details

sample203.0ms

Algorithm

intervals

Results

84.0ms	65×	body	2560	valid
60.0ms	73×	body	1280	valid
21.0ms	32×	body	640	valid
9.0ms	62×	body	80	valid
5.0ms	16×	body	160	valid
4.0ms	8×	body	320	valid

simplify85.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
3.0b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite37.0ms

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:

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

series157.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

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

prune339.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 41.2b

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)))
3.0b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite38.0ms

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×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* (+ (* a 2.0) 1.0) b)
7.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
18.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series176.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* a 2.0) 1.0) b)
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))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	319	551
1	1335	448
2	5001	444

prune314.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 39.7b

localize3.0ms

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

prune124.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 39.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.2b	(* (+ (* a 2.0) 1.0) (* b t))
34.5b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite24.0ms

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:

7.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
15.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series141.0ms

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))
36.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (28.0ms)

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

prune136.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 39.5b

regimes1.8s

Accuracy

0% (4.5b remaining)

Error of 44.5b against oracle of 40.1b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	0
1	8	0

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.4s	1829×	body	2560	valid
1.8s	2230×	body	1280	valid
681.0ms	1177×	body	640	valid
271.0ms	1866×	body	80	valid
246.0ms	558×	body	320	valid
111.0ms	40×	body	5120	valid
89.0ms	300×	body	160	valid