Details

sample182.0ms

Algorithm

intervals

Results

73.0ms	62×	body	2560	valid
48.0ms	71×	body	1280	valid
18.0ms	41×	body	640	valid
6.0ms	62×	body	80	valid
5.0ms	16×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	3×	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: 45.9b

localize26.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.1b	(* (* (+ (* y 2.0) 1.0) z) t)
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite40.0ms

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:

17.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
17.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (55.0ms)

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

prune434.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`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:

8.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
19.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
43.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	297	524
1	1369	407
2	5002	376

prune329.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 39.7b

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

prune115.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 39.7b

localize21.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
17.5b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
17.5b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
35.1b	(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 48

Calls

4 calls:

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

series514.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
164.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
151.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
41.0ms	(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	282	906
1	785	825
2	2818	717
3	5001	708

prune362.0ms

Pruning

41 alts after pruning (39 fresh and 2 done)

Merged error: 39.3b

regimes2.7s

Accuracy

0% (4.3b remaining)

Error of 43.9b against oracle of 39.6b and baseline of 43.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	1842×	body	2560	valid
1.5s	2251×	body	1280	valid
497.0ms	1162×	body	640	valid
185.0ms	1939×	body	80	valid
160.0ms	550×	body	320	valid
106.0ms	40×	body	5120	valid
43.0ms	216×	body	160	valid