Details

sample205.0ms

Algorithm

intervals

Results

69.0ms	53×	body	2560	valid
54.0ms	65×	body	1280	valid
21.0ms	37×	body	640	valid
15.0ms	5×	body	5120	valid
12.0ms	65×	body	80	valid
11.0ms	24×	body	320	valid
2.0ms	7×	body	160	valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.4b

localize24.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* (+ (* y 2.0) 1.0) z) t)
4.1b	(* (* (+ (* a 2.0) 1.0) b) t)
33.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite39.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
18.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune426.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 40.7b

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)))
4.1b	(* (* (+ (* a 2.0) 1.0) b) t)
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite36.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
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))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* a 2.0) 1.0) b)
70.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	332	575
1	1299	472
2	5002	465

prune418.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.0b

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune135.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.6b	(* (+ (* a 2.0) 1.0) (* b t))
34.1b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite23.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 52

Calls

3 calls:

7.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
13.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms	(* (+ (* a 2.0) 1.0) (* b t))
33.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	289	468
1	1111	383
2	4167	379
3	5001	379

prune179.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 38.9b

regimes2.1s

Accuracy

0% (4.2b remaining)

Error of 43.8b against oracle of 39.6b and baseline of 43.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	1806×	body	2560	valid
1.9s	2258×	body	1280	valid
673.0ms	1143×	body	640	valid
291.0ms	1941×	body	80	valid
248.0ms	552×	body	320	valid
120.0ms	39×	body	5120	valid
80.0ms	261×	body	160	valid