Details

sample161.0ms

Algorithm

intervals

Results

59.0ms	53×	body	2560	valid
48.0ms	77×	body	1280	valid
11.0ms	31×	body	640	valid
8.0ms	67×	body	80	valid
6.0ms	22×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	5×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 44.9b

localize27.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (+ (* a 2.0) 1.0) b) t)
3.1b	(* (* (+ (* y 2.0) 1.0) z) t)
32.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite89.0ms

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:

38.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series138.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
30.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune335.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 40.2b

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)))
3.1b	(* (* (+ (* a 2.0) 1.0) b) t)
32.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite88.0ms

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:

24.0ms	(* (+ (* a 2.0) 1.0) b)
17.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* a 2.0) 1.0) b)
63.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
37.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

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

prune315.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 38.7b

localize5.0ms

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

prune102.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 38.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.8b	(* (+ (* a 2.0) 1.0) (* b t))
32.9b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite59.0ms

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:

19.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
34.0ms	(* (+ (* a 2.0) 1.0) (* b t))
4.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
32.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (27.0ms)

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

prune134.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 38.5b

regimes1.7s

Accuracy

0% (4.3b remaining)

Error of 44.3b against oracle of 39.9b and baseline of 44.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1832×	body	2560	valid
1.3s	2234×	body	1280	valid
414.0ms	1161×	body	640	valid
158.0ms	1888×	body	80	valid
156.0ms	567×	body	320	valid
131.0ms	51×	body	5120	valid
49.0ms	267×	body	160	valid