Details

sample148.0ms

Algorithm

intervals

Results

31.0ms	55×	body	1280	valid
25.0ms	245×	body	80	nan
17.0ms	43×	body	640	valid
16.0ms	170×	body	80	valid
7.0ms	7×	body	320	valid
5.0ms	6×	body	2560	valid
1.0ms	4×	body	160	valid

simplify68.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.2b	(cos (- y (/ (* z t) 3.0)))

rewrite102.0ms

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	(/ (* z t) 3.0)
11.0ms	(/ a (* b 3.0))
50.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms	(cos (- y (/ (* z t) 3.0)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
22.0ms	(/ a (* b 3.0))
133.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
43.0ms	(cos (- y (/ (* z t) 3.0)))

simplify531.0ms

Counts: 84 → 84

prune469.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.9b	(sin (/ (* z t) 3.0))
27.1b	(cos (/ (* z t) 3.0))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

42.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
66.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
137.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
20.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify772.0ms

Counts: 72 → 72

prune407.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
27.1b	(cos (/ (* z t) 3.0))
27.5b	(sin (* 0.3333333333333333 (* t z)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

44.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
117.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms	(cos (/ (* z t) 3.0))
25.0ms	(sin (* 0.3333333333333333 (* t z)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
130.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms	(cos (/ (* z t) 3.0))
21.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify726.0ms

Counts: 72 → 72

prune397.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.9b	(cos (* 0.3333333333333333 (* t z)))
27.5b	(sin (* 0.3333333333333333 (* t z)))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

100.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
102.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
33.0ms	(cos (* 0.3333333333333333 (* t z)))
20.0ms	(sin (* 0.3333333333333333 (* t z)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
131.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
15.0ms	(cos (* 0.3333333333333333 (* t z)))
24.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify686.0ms

Counts: 72 → 72

prune335.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.3b

regimes3.6s

Accuracy

55.1% (1.7b remaining)

Error of 17.8b against oracle of 16.1b and baseline of 19.8b

bsearch3.0ms

simplify952.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.4s	9078×	body	80	nan
1.1s	5561×	body	80	valid
1.0s	1581×	body	1280	valid
987.0ms	1001×	body	640	valid
361.0ms	350×	body	2560	valid
170.0ms	435×	body	320	valid
37.0ms	179×	body	160	valid