Details

sample164.0ms

Algorithm

intervals

Results

59.0ms	51×	body	2560	valid
42.0ms	71×	body	1280	valid
18.0ms	48×	body	640	valid
15.0ms	6×	body	5120	valid
5.0ms	59×	body	80	valid
4.0ms	16×	body	320	valid
1.0ms	5×	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	197	27
4	343	27
5	526	27
6	724	27
7	956	27
8	1058	27
9	1108	27
10	1112	27
done	1112	27

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
34.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.3b	(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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

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

series164.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
40.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.0s

Counts

66 → 66

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	138	888
1	366	878
2	1454	714
done	5000	706

prune341.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 41.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.0b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

11.0ms	(* (+ (* a 2.0) 1.0) b)
7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series194.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* a 2.0) 1.0) b)
74.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.2s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	127	1188
1	315	1099
2	1156	895
3	4113	851
done	5000	851

prune378.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.6b

localize1.0ms

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

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
34.0b	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
24.0ms	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
2.0ms	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

series604.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
189.0ms	(cbrt t)
172.0ms	(* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t)))
59.0ms	(cos (/ (* (* (* (+ (* a 2.0) 1.0) b) (* (cbrt t) (cbrt t))) (cbrt t)) 16.0))

simplify2.0s

Counts

65 → 65

Iterations

Useful iterations: 3 (923.0ms)

Iter	Nodes	Cost
0	111	873
1	298	851
2	1044	616
3	4988	565
done	5000	565

prune239.0ms

Pruning

42 alts after pruning (40 fresh and 2 done)

Merged error: 40.4b

regimes2.4s

Accuracy

0% (4.4b remaining)

Error of 44.5b against oracle of 40.1b and baseline of 44.5b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.4s	1843×	body	2560	valid
1.3s	2295×	body	1280	valid
435.0ms	1163×	body	640	valid
148.0ms	1848×	body	80	valid
148.0ms	543×	body	320	valid
82.0ms	33×	body	5120	valid
49.0ms	275×	body	160	valid