Details

sample254.0ms

Algorithm

intervals

Results

113.0ms	59×	body	2560	valid
61.0ms	66×	body	1280	valid
21.0ms	35×	body	640	valid
9.0ms	68×	body	80	valid
8.0ms	17×	body	320	valid
7.0ms	2×	body	5120	valid
2.0ms	9×	body	160	valid

simplify2.5s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize41.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* a 2.0) 1.0) b) t)
3.6b	(* (* (+ (* y 2.0) 1.0) z) t)
32.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite152.0ms

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:

64.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
72.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
51.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	138	888
1	382	878
2	2591	732
done	5002	730

prune531.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 40.2b

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)))
3.6b	(* (* (+ (* y 2.0) 1.0) z) t)
33.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite99.0ms

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:

34.0ms	(* (+ (* y 2.0) 1.0) z)
9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series275.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ (* y 2.0) 1.0) z)
109.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
61.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: done (1.2s)

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

prune587.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 38.6b

localize15.0ms

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

37 alts after pruning (36 fresh and 1 done)

Merged error: 38.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (* y 2.0) 1.0))
0.3b	(cbrt (+ (* y 2.0) 1.0))
3.6b	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
34.1b	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

rewrite588.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-div` `associate-*l/`
29×	`flip3-+` `flip-+`
28×	`frac-times`
22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`associate-r`
2×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 86

Calls

4 calls:

9.0ms	(cbrt (+ (* y 2.0) 1.0))
7.0ms	(cbrt (+ (* y 2.0) 1.0))
557.0ms	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
5.0ms	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

series447.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (+ (* y 2.0) 1.0))
146.0ms	(cbrt (+ (* y 2.0) 1.0))
67.0ms	(* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t)
68.0ms	(cos (/ (* (* (* (cbrt (+ (* y 2.0) 1.0)) (cbrt (+ (* y 2.0) 1.0))) (* (cbrt (+ (* y 2.0) 1.0)) z)) t) 16.0))

simplify1.6s

Counts

98 → 98

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	233	2749
1	682	2694
2	2699	2056
done	5001	1846

prune437.0ms

Pruning

46 alts after pruning (44 fresh and 2 done)

Merged error: 38.1b

regimes3.5s

Accuracy

0% (5.6b remaining)

Error of 45.2b against oracle of 39.6b and baseline of 45.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 3 (5.0ms)

Iter	Nodes	Cost
0	21	34
1	28	32
2	29	31
3	32	29
done	32	29

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.8s	1856×	body	2560	valid
3.2s	2246×	body	1280	valid
922.0ms	1153×	body	640	valid
274.0ms	1908×	body	80	valid
248.0ms	557×	body	320	valid
169.0ms	46×	body	5120	valid
100.0ms	234×	body	160	valid