Details

sample208.0ms

Algorithm

intervals

Results

47.0ms	16×	body	2560	valid
35.0ms	49×	body	1280	valid
31.0ms	273×	body	80	nan
18.0ms	178×	body	80	valid
15.0ms	33×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	8×	body	160	valid

simplify79.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.7b	(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:

13.0ms	(/ (* z t) 3.0)
11.0ms	(/ a (* b 3.0))
48.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(cos (- y (/ (* z t) 3.0)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
20.0ms	(/ a (* b 3.0))
125.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
53.0ms	(cos (- y (/ (* z t) 3.0)))

simplify524.0ms

Counts: 84 → 84

prune411.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
2.2b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.7b	(cos (/ (* z t) 3.0))
27.8b	(sin (/ (* z t) 3.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

22.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
76.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
6.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))

series233.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
135.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms	(cos (/ (* z t) 3.0))
27.0ms	(sin (/ (* z t) 3.0))

simplify1.8s

Counts: 68 → 68

prune409.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
2.2b	(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
27.7b	(cos (/ (* z t) 3.0))
27.8b	(sin (/ (* z t) 3.0))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1` `add-exp-log`
33×	`add-cbrt-cube`
31×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (sin y))
155.0ms	(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (sin y))
112.0ms	(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (/ (* z t) 3.0)))))
15.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify802.0ms

Counts: 77 → 77

prune453.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (sin y))
1.1b	(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
27.7b	(cos (/ (* z t) 3.0))
27.8b	(sin (/ (* z t) 3.0))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`add-log-exp`
2×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

33.0ms	(* (* 2.0 (sqrt x)) (sin y))
128.0ms	(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
5.0ms	(cos (/ (* z t) 3.0))
13.0ms	(sin (/ (* z t) 3.0))

series292.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (* 2.0 (sqrt x)) (sin y))
138.0ms	(* (* (* 2.0 (sqrt x)) (sin y)) (sin (/ (* z t) 3.0)))
12.0ms	(cos (/ (* z t) 3.0))
25.0ms	(sin (/ (* z t) 3.0))

simplify710.0ms

Counts: 65 → 65

prune369.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.6b

regimes3.0s

Accuracy

62.1% (1.4b remaining)

Error of 17.5b against oracle of 16.1b and baseline of 19.7b

bsearch2.0ms

simplify1.3s

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.7s	9063×	body	80	nan
1.1s	1478×	body	1280	valid
932.0ms	5666×	body	80	valid
888.0ms	938×	body	640	valid
455.0ms	376×	body	2560	valid
145.0ms	440×	body	320	valid
55.0ms	222×	body	160	valid