Details

sample192.0ms

Algorithm

intervals

Results

64.0ms	48×	body	2560	valid
62.0ms	80×	body	1280	valid
20.0ms	36×	body	640	valid
9.0ms	65×	body	80	valid
8.0ms	14×	body	320	valid
6.0ms	2×	body	5120	valid
3.0ms	11×	body	160	valid

simplify88.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize25.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (+ (* y 2.0) 1.0) z) t)
2.4b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) 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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (12.0ms)

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

prune344.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.6b

localize17.0ms

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)))
1.3b	(* (* (+ (* y 2.0) 1.0) z) t)
34.3b	(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)
6.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* y 2.0) 1.0) z)
66.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (10.0ms)

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

prune365.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 39.0b

localize6.0ms

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

prune120.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.7b	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
0.9b	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
34.7b	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
23.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
86.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
2.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series480.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
175.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
73.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
53.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	396	843
1	2044	612
2	5001	554

prune289.0ms

Pruning

47 alts after pruning (46 fresh and 1 done)

Merged error: 38.7b

regimes2.8s

Accuracy

0% (4.5b remaining)

Error of 44.1b against oracle of 39.5b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.4s	1829×	body	2560	valid
1.8s	2261×	body	1280	valid
667.0ms	1166×	body	640	valid
276.0ms	1918×	body	80	valid
235.0ms	536×	body	320	valid
114.0ms	40×	body	5120	valid
74.0ms	250×	body	160	valid