Details

sample168.0ms

Algorithm

intervals

Results

65.0ms	53×	body	2560	valid
42.0ms	73×	body	1280	valid
15.0ms	41×	body	640	valid
10.0ms	4×	body	5120	valid
6.0ms	23×	body	320	valid
5.0ms	56×	body	80	valid
1.0ms	6×	body	160	valid

simplify86.0ms

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: 47.2b

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite91.0ms

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:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune339.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

25.0ms	(* (+ (* a 2.0) 1.0) b)
19.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series209.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (+ (* a 2.0) 1.0) b)
74.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	318	605
1	1500	470
2	5001	442

prune379.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 41.1b

localize6.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune126.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 41.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.7b	(* (+ (* a 2.0) 1.0) (* b t))
37.1b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `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-+` `flip-+`

Counts

3 → 45

Calls

3 calls:

19.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
37.0ms	(* (+ (* a 2.0) 1.0) (* b t))
4.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series162.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
43.0ms	(* (+ (* a 2.0) 1.0) (* b t))
41.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	278	492
1	1233	374
2	4722	346
3	5001	346

prune155.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 41.0b

regimes2.0s

Accuracy

0% (4.3b remaining)

Error of 44.5b against oracle of 40.2b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.9s	1829×	body	2560	valid
1.5s	2275×	body	1280	valid
445.0ms	1223×	body	640	valid
157.0ms	1851×	body	80	valid
129.0ms	516×	body	320	valid
101.0ms	41×	body	5120	valid
46.0ms	265×	body	160	valid