Details

sample172.0ms

Algorithm

intervals

Results

47.0ms	57×	body	1280	valid
32.0ms	302×	body	80	nan
17.0ms	174×	body	80	valid
13.0ms	31×	body	640	valid
9.0ms	9×	body	2560	valid
3.0ms	9×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
0.4b	(/ a (* b 3.0))
23.2b	(cos (- y (/ (* z t) 3.0)))

rewrite96.0ms

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:

48.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
13.0ms	(/ (* z t) 3.0)
10.0ms	(/ a (* b 3.0))
22.0ms	(cos (- y (/ (* z t) 3.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
28.0ms	(/ (* z t) 3.0)
25.0ms	(/ a (* b 3.0))
51.0ms	(cos (- y (/ (* z t) 3.0)))

simplify37.0ms

Counts: 84 → 84

prune447.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 17.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ a (* b 3.0))
2.2b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.5b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

10.0ms	(/ a (* b 3.0))
52.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
141.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify40.0ms

Counts: 70 → 70

prune457.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 17.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ a (* b 3.0))
2.2b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.9b	(cos (* 0.3333333333333333 (* t z)))
27.9b	(sin (/ (* z t) 3.0))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
61.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(sin (/ (* z t) 3.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ a (* b 3.0))
140.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms	(cos (* 0.3333333333333333 (* t z)))
19.0ms	(sin (/ (* z t) 3.0))

simplify39.0ms

Counts: 70 → 70

prune578.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.2b

localize57.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
14.2b	(cbrt (pow (sin (/ (* z t) 3.0)) 3))
27.9b	(cos (* 0.3333333333333333 (* t z)))
27.9b	(sin (/ (* z t) 3.0))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`unpow-prod-down` `cube-prod`
1×	`cube-mult` `pow1/3` `unpow3` `associate-r` `associate-l` `*-commutative` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

81.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
6.0ms	(cbrt (pow (sin (/ (* z t) 3.0)) 3))
24.0ms	(cos (* 0.3333333333333333 (* t z)))
5.0ms	(sin (/ (* z t) 3.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (cbrt (pow (sin (/ (* z t) 3.0)) 3))))
27.0ms	(cbrt (pow (sin (/ (* z t) 3.0)) 3))
16.0ms	(cos (* 0.3333333333333333 (* t z)))
24.0ms	(sin (/ (* z t) 3.0))

simplify32.0ms

Counts: 69 → 69

prune393.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.2b

regimes3.7s

Accuracy

48.1% (1.9b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.0b

bsearch3.0ms

simplify79.0ms

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.7s	9339×	body	80	nan
1.2s	1561×	body	1280	valid
841.0ms	379×	body	2560	valid
743.0ms	5681×	body	80	valid
600.0ms	925×	body	640	valid
206.0ms	440×	body	320	valid
47.0ms	211×	body	160	valid