Details

sample320.0ms

Algorithm

intervals

Results

123.0ms	65×	body	2560	valid
61.0ms	60×	body	1280	valid
48.0ms	20×	body	320	valid
31.0ms	41×	body	640	valid
16.0ms	5×	body	5120	valid
8.0ms	57×	body	80	valid
3.0ms	8×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	232	25
4	436	25
5	728	25
6	1012	25
7	1194	25
8	1292	25
9	1475	25
10	1511	25
done	1511	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize44.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
33.2b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite102.0ms

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:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series187.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
47.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	980
1	381	886
2	1608	744
done	5000	730

prune601.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 42.2b

localize30.0ms

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)))
1.8b	(* (* (+ (* a 2.0) 1.0) b) t)
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite129.0ms

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:

44.0ms	(* (+ (* a 2.0) 1.0) b)
25.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series297.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ (* a 2.0) 1.0) b)
120.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
67.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
50.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify3.4s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	135	1230
1	315	1062
2	1049	884
3	3649	876
done	5000	876

prune555.0ms

Pruning

41 alts after pruning (41 fresh and 0 done)

Merged error: 40.6b

localize5.0ms

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

prune230.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 40.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
2.2b	(* (+ (* a 2.0) 1.0) (* t b))
36.7b	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

rewrite69.0ms

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:

25.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
38.0ms	(* (+ (* a 2.0) 1.0) (* t b))
5.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
57.0ms	(* (+ (* a 2.0) 1.0) (* t b))
44.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

simplify2.3s

Counts

61 → 61

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	110	978
1	273	843
2	899	695
3	3333	687
done	5002	687

prune243.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 40.5b

regimes3.0s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	7	1
done	7	1

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.7s	1815×	body	2560	valid
3.6s	2248×	body	1280	valid
834.0ms	1169×	body	640	valid
253.0ms	1898×	body	80	valid
230.0ms	566×	body	320	valid
134.0ms	44×	body	5120	valid
63.0ms	260×	body	160	valid