Details

sample163.0ms

Algorithm

intervals

Results

67.0ms	60×	body	2560	valid
51.0ms	79×	body	1280	valid
12.0ms	30×	body	640	valid
6.0ms	67×	body	80	valid
3.0ms	1×	body	5120	valid
3.0ms	11×	body	320	valid
1.0ms	8×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize23.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
3.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite39.0ms

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:

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify669.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	138	888
1	366	878
2	1457	714
done	5000	714

prune345.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 40.2b

localize14.0ms

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)))
1.9b	(* (* (+ (* y 2.0) 1.0) z) t)
33.9b	(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)))
18.0ms	(* (* (+ (* 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:

41.0ms	(* (+ (* y 2.0) 1.0) z)
64.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: 2 (106.0ms)

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

prune339.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 38.6b

localize5.0ms

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

prune119.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 38.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.9b	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
1.3b	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
33.9b	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite117.0ms

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)
85.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
26.0ms	(* (* (+ (* 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))

series487.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt t)
69.0ms	(* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t))
170.0ms	(* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t)))
53.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify600.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (140.0ms)

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

prune264.0ms

Pruning

45 alts after pruning (44 fresh and 1 done)

Merged error: 38.3b

regimes2.7s

Accuracy

0% (4.5b 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	8	8
1	11	6
done	11	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1857×	body	2560	valid
1.3s	2246×	body	1280	valid
429.0ms	1139×	body	640	valid
162.0ms	580×	body	320	valid
162.0ms	1919×	body	80	valid
94.0ms	38×	body	5120	valid
39.0ms	221×	body	160	valid