Details

sample219.0ms

Algorithm

intervals

Results

77.0ms	49×	body	2560	valid
62.0ms	61×	body	1280	valid
30.0ms	45×	body	640	valid
14.0ms	74×	body	80	valid
11.0ms	16×	body	320	valid
4.0ms	11×	body	160	valid

simplify92.0ms

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: 42.6b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
32.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite38.0ms

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	(* (* (+ (* a 2.0) 1.0) b) t)
18.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
1.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series158.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (14.0ms)

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

prune335.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 37.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
32.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite35.0ms

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:

10.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
19.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* y 2.0) 1.0) z)
64.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (12.0ms)

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

prune362.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 36.6b

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

prune111.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 36.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
3.4b	(* (+ (* y 2.0) 1.0) (* z t))
32.2b	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

3.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
14.0ms	(* (+ (* y 2.0) 1.0) (* z t))
2.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
40.0ms	(* (+ (* y 2.0) 1.0) (* z t))
38.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	244	417
1	992	343
2	3799	343
3	5001	343

prune167.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 36.5b

regimes1.8s

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	9	6
1	9	6

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.7s	1783×	body	2560	valid
2.1s	2251×	body	1280	valid
816.0ms	1209×	body	640	valid
352.0ms	1913×	body	80	valid
262.0ms	521×	body	320	valid
135.0ms	46×	body	5120	valid
95.0ms	277×	body	160	valid