Details

sample277.0ms

Algorithm

intervals

Results

85.0ms	58×	body	2560	valid
61.0ms	24×	body	320	valid
52.0ms	61×	body	1280	valid
26.0ms	43×	body	640	valid
8.0ms	61×	body	80	valid
8.0ms	9×	body	160	valid

simplify2.8s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.4b

localize45.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
34.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite109.0ms

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:

50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
6.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
45.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.5s

Counts

66 → 66

Iterations

Useful iterations: 2 (353.0ms)

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

prune602.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.6b	(* (* (+ (* y 2.0) 1.0) z) t)
35.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

42.0ms	(* (+ (* y 2.0) 1.0) z)
11.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
56.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series287.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* y 2.0) 1.0) z)
106.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
67.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
62.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	1057
1	295	1046
2	1828	886
done	5002	882

prune717.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 39.9b

localize8.0ms

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

prune249.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 39.9b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0)))
2.4b	(* (+ (* y 2.0) 1.0) (* z t))
35.6b	(cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

8.0ms	(* x (cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0)))
52.0ms	(* (+ (* y 2.0) 1.0) (* z t))
7.0ms	(cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0))

series203.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* x (cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0)))
47.0ms	(* (+ (* y 2.0) 1.0) (* z t))
59.0ms	(cos (/ (pow (* (+ (* y 2.0) 1.0) (* z t)) 1) 16.0))

simplify985.0ms

Counts

54 → 54

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	97	887
1	258	815
2	1106	679
done	5001	673

prune278.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.7b

regimes3.9s

Accuracy

0% (4.2b remaining)

Error of 44.0b against oracle of 39.7b and baseline of 44.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	15	1
done	15	1

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.3s	1824×	body	2560	valid
2.2s	2257×	body	1280	valid
931.0ms	1089×	body	640	valid
544.0ms	604×	body	320	valid
393.0ms	1933×	body	80	valid
122.0ms	44×	body	5120	valid
59.0ms	249×	body	160	valid