Details

sample417.0ms

Algorithm

intervals

Results

158.0ms	69×	body	2560	valid
88.0ms	66×	body	1280	valid
54.0ms	10×	body	160	valid
40.0ms	43×	body	640	valid
11.0ms	55×	body	80	valid
8.0ms	12×	body	320	valid
5.0ms	1×	body	5120	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	223	27
4	460	27
5	798	27
6	1063	27
7	1248	27
8	1338	27
9	1494	27
10	1506	27
done	1506	27

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.9b

localize71.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite190.0ms

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:

80.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
90.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series269.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
72.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
66.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
63.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (423.0ms)

Iter	Nodes	Cost
0	138	888
1	379	878
2	2572	718
done	5000	718

prune896.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
35.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

46.0ms	(* (+ (* a 2.0) 1.0) b)
35.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
83.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series360.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (+ (* a 2.0) 1.0) b)
129.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
89.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
71.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	127	1134
1	335	1072
2	1864	884
done	5000	880

prune997.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 41.2b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune334.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 41.2b

localize44.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
3.6b	(* (+ (* a 2.0) 1.0) (* t b))
35.1b	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

41.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
72.0ms	(* (+ (* a 2.0) 1.0) (* t b))
11.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

series263.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
77.0ms	(* (+ (* a 2.0) 1.0) (* t b))
63.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	104	898
1	293	841
2	1341	681
done	5000	669

prune375.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 41.1b

regimes5.7s

Accuracy

0% (4.3b remaining)

Error of 44.3b against oracle of 40.0b and baseline of 44.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	8
1	11	1
done	11	1

end0.0ms

sample11.7s

Algorithm

intervals

Results

4.8s	1848×	body	2560	valid
3.6s	2252×	body	1280	valid
1.0s	1199×	body	640	valid
580.0ms	41×	body	5120	valid
447.0ms	1890×	body	80	valid
326.0ms	523×	body	320	valid
133.0ms	247×	body	160	valid