Details

sample160.0ms

Algorithm

intervals

Results

63.0ms	56×	body	2560	valid
52.0ms	81×	body	1280	valid
14.0ms	35×	body	640	valid
5.0ms	59×	body	80	valid
3.0ms	11×	body	320	valid
3.0ms	14×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	96	27
3	197	27
4	343	27
5	526	27
6	730	27
7	960	27
8	1062	27
9	1112	27
10	1116	27
done	1116	27

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.3b	(* (* (+ (* a 2.0) 1.0) b) t)
35.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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	(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) 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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify673.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	138	888
1	366	878
2	1459	714
done	5000	714

prune332.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite32.0ms

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

series181.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
67.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.2s

Counts

77 → 77

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	118	1057
1	281	1046
2	1054	870
3	4345	870
done	5001	870

prune323.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.1b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune112.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
2.1b	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
35.9b	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite111.0ms

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)
83.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
23.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
2.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series460.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt t)
65.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
167.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
56.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify565.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	142	1526
1	397	1490
2	1600	1007
done	5001	1007

prune263.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 40.0b

regimes2.4s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	6	1
done	6	1

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1850×	body	2560	valid
1.4s	2321×	body	1280	valid
434.0ms	1129×	body	640	valid
168.0ms	1885×	body	80	valid
134.0ms	503×	body	320	valid
115.0ms	47×	body	5120	valid
51.0ms	265×	body	160	valid