Details

sample159.0ms

Algorithm

intervals

Results

72.0ms	62×	body	2560	valid
39.0ms	71×	body	1280	valid
16.0ms	41×	body	640	valid
5.0ms	62×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	3×	body	160	valid

simplify78.0ms

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: 45.9b

localize29.0ms

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))

rewrite52.0ms

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:

28.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
19.0ms	(* (* (+ (* 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))

series176.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
46.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (13.0ms)

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

prune364.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (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))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

7.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series396.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
63.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
226.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	288	437
1	1182	351
2	5002	347

prune257.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 39.8b

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

prune111.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 39.8b

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

13.0ms	(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))

series551.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
193.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
156.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
42.0ms	(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))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	269	830
1	740	758
2	2617	644
3	5003	644

prune273.0ms

Pruning

42 alts after pruning (40 fresh and 2 done)

Merged error: 39.4b

regimes2.5s

Accuracy

0% (4.2b remaining)

Error of 43.9b against oracle of 39.7b and baseline of 43.9b

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

sample4.5s

Algorithm

intervals

Results

2.0s	1842×	body	2560	valid
1.3s	2251×	body	1280	valid
442.0ms	1162×	body	640	valid
166.0ms	1939×	body	80	valid
146.0ms	550×	body	320	valid
96.0ms	40×	body	5120	valid
38.0ms	216×	body	160	valid