Details

sample178.0ms

Algorithm

intervals

Results

72.0ms	62×	body	2560	valid
46.0ms	70×	body	1280	valid
14.0ms	35×	body	640	valid
7.0ms	23×	body	320	valid
5.0ms	2×	body	5120	valid
5.0ms	56×	body	80	valid
2.0ms	8×	body	160	valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14
done	1712	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.7b

localize28.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
3.6b	(* (* (+ (* y 2.0) 1.0) z) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
38.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite103.0ms

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:

45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series194.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
48.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
45.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify70.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372
done	5001	372

prune486.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 43.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
34.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

22.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
42.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
5.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
55.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify75.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	429	725
1	2175	565
2	5001	552
done	5001	552

prune518.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 41.2b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune150.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 41.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.7b	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
1.9b	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
34.5b	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1`
29×	`add-exp-log`
23×	`add-sqr-sqrt`
19×	`cbrt-prod` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`associate-l`
6×	`pow1/3` `swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 103

Calls

4 calls:

11.0ms	(* (cbrt t) (cbrt t))
190.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
61.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
5.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series592.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt t) (cbrt t))
86.0ms	(* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t))
206.0ms	(* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t))))
67.0ms	(cos (/ (* (* (fma a 2.0 1.0) (* b (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify80.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	371	880
1	1727	729
2	5002	655
done	5002	655

prune449.0ms

Pruning

44 alts after pruning (43 fresh and 1 done)

Merged error: 41.0b

regimes2.9s

Accuracy

0% (4.7b remaining)

Error of 44.2b against oracle of 39.6b and baseline of 44.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3
done	13	3

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.1s	1868×	body	2560	valid
1.4s	2254×	body	1280	valid
449.0ms	1169×	body	640	valid
166.0ms	1901×	body	80	valid
150.0ms	540×	body	320	valid
126.0ms	48×	body	5120	valid
41.0ms	220×	body	160	valid