Details

sample172.0ms

Algorithm

intervals

Results

63.0ms	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

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	211	25
4	385	25
5	608	25
6	850	25
7	1114	25
8	1224	25
9	1298	25
10	1326	25
done	1326	25

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize25.0ms

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))

rewrite37.0ms

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:

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))

series181.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
46.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	146	980
1	382	886
2	1517	738
done	5000	738

prune470.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 41.9b

localize16.0ms

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))

rewrite44.0ms

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

Counts

4 → 73

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)))
21.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series208.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* a 2.0) 1.0) b)
74.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
50.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	135	1290
1	329	1096
2	1198	910
3	4288	862
done	5001	862

prune461.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.5b

localize5.0ms

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

prune136.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.0b	(* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t))))
33.9b	(cos (/ (* (* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
32.0ms	(* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t))))
2.0ms	(cos (/ (* (* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series618.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt t)
196.0ms	(cbrt t)
191.0ms	(* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t))))
60.0ms	(cos (/ (* (* (fma 2.0 a 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (674.0ms)

Iter	Nodes	Cost
0	106	847
1	249	824
2	877	608
3	4292	548
done	5000	548

prune672.0ms

Pruning

41 alts after pruning (39 fresh and 2 done)

Merged error: 40.3b

regimes2.3s

Accuracy

0% (4.6b remaining)

Error of 44.5b against oracle of 39.9b and baseline of 44.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
done	9	11

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.9s	1843×	body	2560	valid
1.3s	2295×	body	1280	valid
422.0ms	1163×	body	640	valid
146.0ms	1848×	body	80	valid
144.0ms	543×	body	320	valid
79.0ms	33×	body	5120	valid
46.0ms	275×	body	160	valid