Details

sample156.0ms

Algorithm

intervals

Results

61.0ms	56×	body	2560	valid
50.0ms	81×	body	1280	valid
13.0ms	35×	body	640	valid
5.0ms	59×	body	80	valid
3.0ms	11×	body	320	valid
2.0ms	14×	body	160	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 46.3b

localize28.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.3b	(* (* (+ (* a 2.0) 1.0) b) t)
35.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) 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))

series160.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune347.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.9b

localize15.0ms

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)))
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

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

Counts

4 → 65

Calls

4 calls:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series184.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	283	530
1	1350	439
2	5001	439

prune373.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.1b

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

prune125.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
2.1b	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
35.9b	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
10×	`associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`cbrt-prod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`
1×	`pow1/3`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt t)
86.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
24.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
2.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series484.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
72.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
175.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
56.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	396	843
1	2043	612
2	5002	554

prune277.0ms

Pruning

46 alts after pruning (45 fresh and 1 done)

Merged error: 39.9b

regimes2.8s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	1850×	body	2560	valid
1.4s	2321×	body	1280	valid
428.0ms	1129×	body	640	valid
158.0ms	1885×	body	80	valid
135.0ms	503×	body	320	valid
120.0ms	47×	body	5120	valid
51.0ms	265×	body	160	valid