Details

sample161.0ms

Algorithm

intervals

Results

66.0ms	60×	body	2560	valid
49.0ms	79×	body	1280	valid
12.0ms	30×	body	640	valid
6.0ms	67×	body	80	valid
3.0ms	11×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	8×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	96	27
3	199	27
4	352	27
5	539	27
6	737	27
7	970	27
8	1072	27
9	1122	27
10	1126	27
done	1126	27

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize24.0ms

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))

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)
18.0ms	(* (* (+ (* 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))

series154.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify580.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	138	888
1	379	878
2	1567	714
done	5000	714

prune343.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 40.2b

localize16.0ms

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))

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))

series186.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* y 2.0) 1.0) z)
69.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.7s

Counts

77 → 77

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	118	1057
1	291	1046
2	1179	870
3	4828	870
done	5000	870

prune376.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 38.6b

localize4.0ms

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

prune125.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 38.6b

localize19.0ms

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))

rewrite110.0ms

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))

series467.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(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)))
56.0ms	(cos (/ (* (* (* (+ (* y 2.0) 1.0) z) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify633.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	142	1526
1	403	1492
2	1737	1007
done	5000	1007

prune295.0ms

Pruning

44 alts after pruning (43 fresh and 1 done)

Merged error: 38.3b

regimes2.5s

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: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	7	6
done	7	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1857×	body	2560	valid
1.3s	2246×	body	1280	valid
424.0ms	1139×	body	640	valid
161.0ms	1919×	body	80	valid
160.0ms	580×	body	320	valid
94.0ms	38×	body	5120	valid
43.0ms	221×	body	160	valid