Details

sample202.0ms

Algorithm

intervals

Results

69.0ms	53×	body	2560	valid
51.0ms	65×	body	1280	valid
21.0ms	37×	body	640	valid
15.0ms	5×	body	5120	valid
13.0ms	24×	body	320	valid
9.0ms	65×	body	80	valid
2.0ms	7×	body	160	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: 45.4b

localize26.0ms

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))

rewrite36.0ms

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)
15.0ms	(* (* (+ (* 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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

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

prune361.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.9b

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

Counts

4 → 66

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* a 2.0) 1.0) b)
71.0ms	(* (* 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))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (40.0ms)

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

prune337.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 39.2b

localize1.0ms

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

prune112.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.2b

localize14.0ms

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×	`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)))
14.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
40.0ms	(* (+ (* a 2.0) 1.0) (* b t))
37.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

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

prune156.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 39.0b

regimes2.0s

Accuracy

0% (4.2b remaining)

Error of 43.8b against oracle of 39.7b and baseline of 43.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.5s	1806×	body	2560	valid
1.9s	2258×	body	1280	valid
685.0ms	1143×	body	640	valid
291.0ms	1941×	body	80	valid
249.0ms	552×	body	320	valid
118.0ms	39×	body	5120	valid
86.0ms	261×	body	160	valid