Details

sample163.0ms

Algorithm

intervals

Results

64.0ms	58×	body	2560	valid
45.0ms	78×	body	1280	valid
11.0ms	29×	body	640	valid
6.0ms	71×	body	80	valid
5.0ms	4×	body	160	valid
4.0ms	15×	body	320	valid
3.0ms	1×	body	5120	valid

simplify96.0ms

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: 43.9b

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite94.0ms

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:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(* (* (+ (* 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))

series144.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
31.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (13.0ms)

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

prune368.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 39.6b

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)))
2.6b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

21.0ms	(* (* 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))

series146.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	287	491
1	1338	373
2	5002	345

prune282.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 38.2b

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

prune115.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 38.2b

localize20.0ms

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)))
2.1b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite64.0ms

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:

23.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
35.0ms	(* (+ (* a 2.0) 1.0) (* b t))
4.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
39.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (33.0ms)

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

prune162.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 37.9b

regimes2.0s

Accuracy

0% (4.2b remaining)

Error of 44.1b against oracle of 39.9b and baseline of 44.1b

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

sample4.7s

Algorithm

intervals

Results

2.0s	1843×	body	2560	valid
1.3s	2250×	body	1280	valid
426.0ms	1160×	body	640	valid
180.0ms	1923×	body	80	valid
147.0ms	552×	body	320	valid
102.0ms	41×	body	5120	valid
40.0ms	231×	body	160	valid