Details

sample156.0ms

Algorithm

intervals

Results

56.0ms	53×	body	2560	valid
43.0ms	73×	body	1280	valid
14.0ms	41×	body	640	valid
10.0ms	4×	body	5120	valid
6.0ms	23×	body	320	valid
4.0ms	56×	body	80	valid
1.0ms	6×	body	160	valid

simplify90.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.2b

localize45.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite140.0ms

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:

45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
78.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (47.0ms)

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

prune408.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

27.0ms	(* (+ (* a 2.0) 1.0) b)
20.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* a 2.0) 1.0) b)
76.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	331	633
1	1459	498
2	5001	467

prune480.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 40.9b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune148.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
1.7b	(* (+ (* a 2.0) 1.0) (* b t))
37.1b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `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-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

34.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
43.0ms	(* (+ (* a 2.0) 1.0) (* b t))
7.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series172.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
42.0ms	(* (+ (* a 2.0) 1.0) (* b t))
38.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	288	526
1	1264	409
2	4866	381
3	5001	381

prune186.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 40.9b

regimes2.3s

Accuracy

0% (4.4b remaining)

Error of 44.5b against oracle of 40.2b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1829×	body	2560	valid
1.3s	2275×	body	1280	valid
470.0ms	1223×	body	640	valid
164.0ms	1851×	body	80	valid
136.0ms	516×	body	320	valid
102.0ms	41×	body	5120	valid
47.0ms	265×	body	160	valid