Details

sample338.0ms

Algorithm

intervals

Results

132.0ms	67×	body	2560	valid
72.0ms	67×	body	1280	valid
69.0ms	35×	body	640	valid
10.0ms	62×	body	80	valid
8.0ms	16×	body	320	valid
5.0ms	1×	body	5120	valid
3.0ms	8×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.7b

localize33.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
3.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite123.0ms

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:

58.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
62.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
50.0ms	(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	738
done	5000	730

prune605.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 41.8b

localize19.0ms

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)))
2.2b	(* (* (+ (* y 2.0) 1.0) z) t)
34.8b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite91.0ms

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

Counts

4 → 73

Calls

4 calls:

29.0ms	(* (+ (* y 2.0) 1.0) z)
8.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series268.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* y 2.0) 1.0) z)
93.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
69.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	126	1149
1	292	1040
2	1093	880
3	4481	880
done	5000	880

prune519.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.0b

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

prune146.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.5b	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
34.6b	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite71.0ms

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)
63.0ms	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
5.0ms	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series698.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt t)
220.0ms	(cbrt t)
200.0ms	(* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t))))
67.0ms	(cos (/ (* (* (fma 2.0 y 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	106	847
1	243	824
2	871	608
3	4515	548
done	5001	548

prune310.0ms

Pruning

43 alts after pruning (41 fresh and 2 done)

Merged error: 39.8b

regimes3.4s

Accuracy

0.6% (4.6b remaining)

Error of 44.0b against oracle of 39.4b and baseline of 44.0b

bsearch381.0ms

Steps

Iters	Range		Point
8	5.647280553893629e+41	2.2183735592100593e+46	8.591447155711081e+42
9	-1.5496688704842292e-64	-3.194300463751469e-70	-1.2407485697082524e-65

simplify7.0ms

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	27	45
1	37	34
2	38	30
done	38	30

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.1s	1813×	body	2560	valid
3.0s	2198×	body	1280	valid
552.0ms	1210×	body	640	valid
369.0ms	1940×	body	80	valid
212.0ms	233×	body	160	valid
182.0ms	559×	body	320	valid
126.0ms	47×	body	5120	valid