Details

sample231.0ms

Algorithm

intervals

Results

74.0ms	53×	body	2560	valid
54.0ms	59×	body	1280	valid
46.0ms	41×	body	640	valid
14.0ms	4×	body	5120	valid
8.0ms	72×	body	80	valid
7.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	609
1	42	609
2	98	609
3	223	609
4	460	609
5	802	609
6	1065	609
7	1246	609
8	1336	609
9	1489	609
10	1501	609
done	1501	609

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize70.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.2b	(* (* (+ (* y 2.0) 1.0) z) t)
31.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
60.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series223.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
53.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
54.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
61.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	138	16618
1	382	15594
2	2610	15554
done	5002	15474

prune715.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 38.9b

localize33.0ms

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)))
1.7b	(* (* (+ (* a 2.0) 1.0) b) t)
31.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`pow1` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r` `prod-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
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:

33.0ms	(* (+ (* a 2.0) 1.0) b)
26.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
6.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* a 2.0) 1.0) b)
76.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
40.0ms	(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	21144
1	335	19163
2	1860	18922
done	5000	18682

prune618.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 37.4b

localize1.0ms

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

prune221.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 37.4b

localize56.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* (+ (* a 2.0) 1.0) b))
6.5b	(cbrt (* (+ (* a 2.0) 1.0) b))
6.5b	(cbrt (* (+ (* a 2.0) 1.0) b))
31.8b	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*l/`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

8.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
15.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
14.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
5.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

series795.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
151.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
441.0ms	(cbrt (* (+ (* a 2.0) 1.0) b))
68.0ms	(cos (/ (* (* (* (cbrt (* (+ (* a 2.0) 1.0) b)) (cbrt (* (+ (* a 2.0) 1.0) b))) (cbrt (* (+ (* a 2.0) 1.0) b))) t) 16.0))

simplify1.7s

Counts

52 → 52

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	106	22945
1	238	20620
2	680	20500
3	2971	18420
done	5001	17241

prune440.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 37.3b

regimes4.1s

Accuracy

0% (4.3b remaining)

Error of 45.0b against oracle of 40.7b and baseline of 45.0b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.0s	1898×	body	2560	valid
2.6s	2291×	body	1280	valid
705.0ms	1165×	body	640	valid
563.0ms	571×	body	320	valid
486.0ms	1775×	body	80	valid
107.0ms	38×	body	5120	valid
61.0ms	262×	body	160	valid