Details

sample198.0ms

Algorithm

intervals

Results

46.0ms	51×	body	1280	valid
38.0ms	325×	body	80	nan
19.0ms	183×	body	80	valid
17.0ms	16×	body	2560	valid
12.0ms	27×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify82.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize63.0ms

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)))

rewrite98.0ms

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:

13.0ms	(/ (* z t) 3.0)
48.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
11.0ms	(/ a (* b 3.0))
24.0ms	(cos (- y (/ (* z t) 3.0)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* z t) 3.0)
125.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.0ms	(/ a (* b 3.0))
47.0ms	(cos (- y (/ (* z t) 3.0)))

simplify682.0ms

Counts: 84 → 84

prune333.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (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))

rewrite89.0ms

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:

69.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
8.0ms	(/ a (* b 3.0))
6.0ms	(sin (- (/ (* z t) 3.0)))
5.0ms	(cos (/ (* z t) 3.0))

series295.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
22.0ms	(/ a (* b 3.0))
22.0ms	(sin (- (/ (* z t) 3.0)))
12.0ms	(cos (/ (* z t) 3.0))

simplify667.0ms

Counts: 75 → 75

prune516.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.2b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

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))))
123.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
10.0ms	(sin (- (/ (* z t) 3.0)))
5.0ms	(cos (/ (* z t) 3.0))

series407.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
298.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
30.0ms	(sin (- (/ (* z t) 3.0)))
13.0ms	(cos (/ (* z t) 3.0))

simplify801.0ms

Counts: 74 → 74

prune604.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.2b

localize95.0ms

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))

rewrite17.0ms

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:

5.0ms	(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))

series66.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cos (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))
17.0ms	(cos (/ (* z t) 3.0))

simplify1.9s

Counts: 40 → 40

prune401.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 16.1b

regimes3.2s

Accuracy

60.9% (1.6b remaining)

Error of 17.9b against oracle of 16.3b and baseline of 20.3b

bsearch4.0ms

simplify797.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

1.7s	9247×	body	80	nan
1.5s	1648×	body	1280	valid
1.1s	5601×	body	80	valid
909.0ms	971×	body	640	valid
367.0ms	339×	body	2560	valid
130.0ms	388×	body	320	valid
53.0ms	214×	body	160	valid