Details

sample257.0ms

Algorithm

intervals

Results

103.0ms	77×	body	1280	valid
81.0ms	62×	body	2560	valid
25.0ms	30×	body	640	valid
9.0ms	25×	body	320	valid
6.0ms	57×	body	80	valid
3.0ms	1×	body	5120	valid
1.0ms	4×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	234	25
4	507	25
5	910	25
6	1243	25
7	1453	25
8	1551	25
9	1742	25
10	1778	25
done	1778	25

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize30.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
34.5b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite139.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

53.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
55.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
21.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
47.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
59.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.8s

Counts

74 → 74

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	146	980
1	396	886
2	2629	746
done	5001	738

prune579.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
3.2b	(* (* (+ (* a 2.0) 1.0) b) t)
35.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite117.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`1-exp` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

29.0ms	(* (+ (* a 2.0) 1.0) b)
28.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
11.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series251.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* a 2.0) 1.0) b)
92.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
58.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.4s

Counts

86 → 86

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	135	1230
1	347	1064
2	2137	892
done	5001	890

prune560.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 40.8b

localize6.0ms

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

prune215.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 40.8b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
2.4b	(* (+ (* a 2.0) 1.0) (* t b))
35.8b	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

rewrite84.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `1-exp` `flip-+`

Counts

3 → 52

Calls

3 calls:

27.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
51.0ms	(* (+ (* a 2.0) 1.0) (* t b))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

series205.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
61.0ms	(* (+ (* a 2.0) 1.0) (* t b))
47.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

simplify894.0ms

Counts

61 → 61

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	110	978
1	302	845
2	1382	699
done	5000	687

prune208.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.7b

regimes2.7s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.6s	1886×	body	2560	valid
2.9s	2238×	body	1280	valid
939.0ms	1143×	body	640	valid
502.0ms	1882×	body	80	valid
321.0ms	564×	body	320	valid
139.0ms	42×	body	5120	valid
118.0ms	245×	body	160	valid