Details

sample210.0ms

Algorithm

intervals

Results

86.0ms	65×	body	2560	valid
62.0ms	73×	body	1280	valid
19.0ms	32×	body	640	valid
9.0ms	62×	body	80	valid
5.0ms	16×	body	160	valid
3.0ms	8×	body	320	valid

simplify100.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize26.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
3.0b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.1b	(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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) 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:

46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

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

prune456.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 41.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
3.0b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (+ (* a 2.0) 1.0) b)
9.0ms	(* (* 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))

series205.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ (* a 2.0) 1.0) b)
74.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	332	575
1	1299	472
2	5002	465

prune433.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 39.5b

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

prune154.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 39.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.7b	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
1.5b	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
34.6b	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
96.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
29.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
2.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series517.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt t)
72.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
190.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
63.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	337	734
1	1533	569
2	5001	520

prune317.0ms

Pruning

50 alts after pruning (49 fresh and 1 done)

Merged error: 39.1b

regimes3.3s

Accuracy

0% (4.8b remaining)

Error of 44.5b against oracle of 39.7b 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

sample6.1s

Algorithm

intervals

Results

2.4s	1829×	body	2560	valid
1.8s	2230×	body	1280	valid
696.0ms	1177×	body	640	valid
277.0ms	1866×	body	80	valid
260.0ms	558×	body	320	valid
113.0ms	40×	body	5120	valid
89.0ms	300×	body	160	valid