Details

sample183.0ms

Algorithm

intervals

Results

48.0ms	325×	body	80	nan
30.0ms	51×	body	1280	valid
17.0ms	183×	body	80	valid
16.0ms	16×	body	2560	valid
11.0ms	27×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify85.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
26.1b	(cos (- y (/ (* z t) 3.0)))

rewrite74.0ms

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:

10.0ms	(/ (* z t) 3.0)
29.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
24.0ms	(cos (- y (/ (* z t) 3.0)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z t) 3.0)
131.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms	(/ a (* b 3.0))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1327	813
3	4801	813
done	5000	813

prune390.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.5b	(/ a (* b 3.0))
29.2b	(sin (- (/ (* z t) 3.0)))
29.4b	(cos (/ (* z t) 3.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `associate-l` `sin-neg` `clear-num` `associate-/r` `sin-diff` `-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 63

Calls

4 calls:

88.0ms	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
11.0ms	(/ a (* b 3.0))
9.0ms	(sin (- (/ (* z t) 3.0)))
5.0ms	(cos (/ (* z t) 3.0))

series370.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
30.0ms	(/ a (* b 3.0))
29.0ms	(sin (- (/ (* z t) 3.0)))
12.0ms	(cos (/ (* z t) 3.0))

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	1421
1	450	1390
2	1552	1149
done	5000	1109

prune531.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (- (/ (* z t) 3.0))))
0.3b	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
29.2b	(sin (- (/ (* z t) 3.0)))
29.4b	(cos (/ (* z t) 3.0))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sin-mult`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sin-neg` `cos-mult` `*-commutative`
1×	`neg-sub0` `flip3--` `sin-diff` `distribute-rgt-neg-out` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

29.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
88.0ms	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
6.0ms	(sin (- (/ (* z t) 3.0)))
4.0ms	(cos (/ (* z t) 3.0))

series411.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
298.0ms	(* (* 2.0 (sqrt x)) (- (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (- (/ (* z t) 3.0))))))
28.0ms	(sin (- (/ (* z t) 3.0)))
15.0ms	(cos (/ (* z t) 3.0))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	153	1540
1	386	1488
2	1364	1256
done	5000	1216

prune855.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.7b

localize63.0ms

Local error

Found 4 expressions with local error:

29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series62.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cos (/ (* z t) 3.0))
21.0ms	(cos (/ (* z t) 3.0))
14.0ms	(cos (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify1.7s

Counts

40 → 40

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	332
1	26	332
2	39	284
3	49	284
4	56	284
5	66	284
6	87	284
7	161	284
8	456	284
9	1901	284
done	5001	284

prune411.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.6b

regimes3.2s

Accuracy

51.1% (2.3b remaining)

Error of 17.9b against oracle of 15.5b and baseline of 20.3b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	132
1	72	132
2	78	132
done	78	132

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.5s	1648×	body	1280	valid
1.4s	9247×	body	80	nan
1.1s	5601×	body	80	valid
826.0ms	971×	body	640	valid
334.0ms	339×	body	2560	valid
155.0ms	388×	body	320	valid
51.0ms	214×	body	160	valid