Details

sample220.0ms

Algorithm

intervals

Results

96.0ms	70×	body	2560	valid
61.0ms	72×	body	1280	valid
20.0ms	34×	body	640	valid
8.0ms	54×	body	80	valid
8.0ms	18×	body	320	valid
6.0ms	2×	body	5120	valid
2.0ms	6×	body	160	valid

simplify93.0ms

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: 48.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
2.9b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (13.0ms)

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

prune338.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 43.0b

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)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
35.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite38.0ms

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* a 2.0) 1.0) b)
65.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (39.0ms)

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

prune320.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 41.0b

localize8.0ms

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

prune109.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 41.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.7b	(* (+ (* a 2.0) 1.0) (* b t))
35.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
23×	`add-cbrt-cube`
14×	`pow1`
11×	`prod-exp`
9×	`cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`associate-r` `associate-l` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `1-exp` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

9.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
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))

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
67.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms	(* (+ (* a 2.0) 1.0) (* b t))
32.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	406	642
1	1813	512
2	5002	512

prune216.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 40.8b

regimes1.9s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

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

sample6.0s

Algorithm

intervals

Results

2.3s	1778×	body	2560	valid
1.8s	2292×	body	1280	valid
676.0ms	1154×	body	640	valid
273.0ms	1898×	body	80	valid
259.0ms	566×	body	320	valid
127.0ms	45×	body	5120	valid
85.0ms	267×	body	160	valid