Details

sample182.0ms

Algorithm

intervals

Results

74.0ms	64×	body	2560	valid
47.0ms	74×	body	1280	valid
13.0ms	32×	body	640	valid
10.0ms	16×	body	320	valid
6.0ms	58×	body	80	valid
2.0ms	12×	body	160	valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.5b

localize33.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
1.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite29.0ms

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:

10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
10.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
52.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
52.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
45.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (63.0ms)

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

prune533.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.7b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (+ (* y 2.0) 1.0) z)
5.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series239.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* y 2.0) 1.0) z)
91.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
57.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune523.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 40.0b

localize5.0ms

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

prune166.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
0.4b	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `associate-l` `*-commutative` `flip-+` `expm1-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
1.0ms	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
10.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
113.0ms	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	237	452
1	1082	379
2	5001	376

prune253.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 40.0b

regimes2.5s

Accuracy

0% (4.3b remaining)

Error of 44.1b against oracle of 39.8b 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

end1.0ms

sample5.1s

Algorithm

intervals

Results

2.1s	1849×	body	2560	valid
1.6s	2255×	body	1280	valid
466.0ms	1152×	body	640	valid
172.0ms	1924×	body	80	valid
154.0ms	535×	body	320	valid
92.0ms	33×	body	5120	valid
48.0ms	252×	body	160	valid