Details

sample176.0ms

Algorithm

intervals

Results

31.0ms	270×	body	80	nan
30.0ms	51×	body	1280	valid
29.0ms	174×	body	80	valid
15.0ms	16×	body	2560	valid
13.0ms	30×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	7×	body	160	valid

simplify110.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	75	19
4	87	19
5	89	19
done	89	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.4b	(cos (- y (/ (* z t) 3.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

15.0ms	(/ a (* b 3.0))
11.0ms	(/ (* z t) 3.0)
34.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(cos (- y (/ (* z t) 3.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
21.0ms	(/ (* z t) 3.0)
129.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
59.0ms	(cos (- y (/ (* z t) 3.0)))

simplify2.8s

Counts

84 → 84

Iterations

Useful iterations: 2 (205.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1334	813
3	4843	813
done	5000	813

prune435.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (sin y) (sin (- (/ (* z t) 3.0))))
29.7b	(cos (/ (* z t) 3.0))
30.0b	(sin (- (/ (* z t) 3.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sin-neg` `cbrt-unprod`
1×	`neg-sub0` `frac-2neg` `pow-prod-down` `clear-num` `sin-diff` `-commutative` `distribute-rgt-neg-out` `div-inv` `sin-mult` `associate-/l` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

11.0ms	(/ (* z t) 3.0)
29.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
5.0ms	(cos (/ (* z t) 3.0))
10.0ms	(sin (- (/ (* z t) 3.0)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* z t) 3.0)
59.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
14.0ms	(cos (/ (* z t) 3.0))
29.0ms	(sin (- (/ (* z t) 3.0)))

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	109	696
1	221	683
2	679	577
3	2538	577
done	5000	577

prune613.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 3.0 (* z t))
0.4b	(/ 1 (/ 3.0 (* z t)))
29.7b	(cos (/ (* z t) 3.0))
30.0b	(sin (- (/ 1 (/ 3.0 (* z t)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
30×	`add-exp-log`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`prod-exp` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod`
1×	`neg-sub0` `pow-flip` `sin-neg` `associate-/r/` `sin-diff` `inv-pow`

Counts

4 → 93

Calls

4 calls:

14.0ms	(/ 3.0 (* z t))
19.0ms	(/ 1 (/ 3.0 (* z t)))
4.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (- (/ 1 (/ 3.0 (* z t)))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 3.0 (* z t))
20.0ms	(/ 1 (/ 3.0 (* z t)))
12.0ms	(cos (/ (* z t) 3.0))
24.0ms	(sin (- (/ 1 (/ 3.0 (* z t)))))

simplify3.4s

Counts

105 → 105

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	150	1098
1	307	955
2	786	776
3	3464	758
done	5000	758

prune673.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.5b

localize53.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* z t))
0.5b	(/ (/ 1 3.0) (/ 1 (* z t)))
29.7b	(cos (/ (* z t) 3.0))
30.0b	(sin (- (/ (/ 1 3.0) (/ 1 (* z t)))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

208×	`times-frac`
98×	`add-exp-log`
90×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
62×	`div-exp`
30×	`add-cbrt-cube`
24×	`div-inv`
17×	`rec-exp` `1-exp`
16×	`associate-/l*`
15×	`cbrt-undiv` `prod-exp`
8×	`associate-/r*`
7×	`pow1`
4×	`add-log-exp`
3×	`cbrt-unprod`
2×	`pow-flip` `frac-2neg` `clear-num`
1×	`neg-sub0` `pow-prod-down` `sin-neg` `associate-/r/` `sin-diff` `associate-/l/` `inv-pow`

Counts

4 → 201

Calls

4 calls:

18.0ms	(/ 1 (* z t))
35.0ms	(/ (/ 1 3.0) (/ 1 (* z t)))
5.0ms	(cos (/ (* z t) 3.0))
72.0ms	(sin (- (/ (/ 1 3.0) (/ 1 (* z t)))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (* z t))
27.0ms	(/ (/ 1 3.0) (/ 1 (* z t)))
15.0ms	(cos (/ (* z t) 3.0))
32.0ms	(sin (- (/ (/ 1 3.0) (/ 1 (* z t)))))

simplify4.6s

Counts

213 → 213

Iterations

Useful iterations: 3 (3.0s)

Iter	Nodes	Cost
0	310	3253
1	795	2482
2	1521	2041
3	4476	1969
done	5000	1969

prune647.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.4b

regimes3.5s

Accuracy

59.9% (1.6b remaining)

Error of 18.5b against oracle of 16.9b and baseline of 20.9b

bsearch2.0ms

simplify22.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	73
1	58	73
2	68	73
3	74	73
done	74	73

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.7s	8892×	body	80	nan
1.3s	1602×	body	1280	valid
806.0ms	5579×	body	80	valid
529.0ms	433×	body	320	valid
471.0ms	925×	body	640	valid
420.0ms	392×	body	2560	valid
92.0ms	230×	body	160	valid