Details

sample150.0ms

Algorithm

intervals

Results

31.0ms	51×	body	1280	valid
26.0ms	257×	body	80	nan
18.0ms	23×	body	2560	valid
15.0ms	174×	body	80	valid
7.0ms	19×	body	640	valid
4.0ms	13×	body	320	valid
1.0ms	5×	body	160	valid

simplify60.0ms

Counts: 1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize37.0ms

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))
23.4b	(cos (- y (/ (* z t) 3.0)))

rewrite109.0ms

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)
53.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms	(/ a (* b 3.0))
25.0ms	(cos (- y (/ (* z t) 3.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
113.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms	(/ a (* b 3.0))
52.0ms	(cos (- y (/ (* z t) 3.0)))

simplify608.0ms

Counts: 84 → 84

prune418.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 17.6b

localize46.0ms

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))
28.0b	(cos (/ (* z t) 3.0))
28.2b	(sin (/ (* z t) 3.0))

rewrite77.0ms

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×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

59.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms	(/ a (* b 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series359.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.0ms	(/ a (* b 3.0))
16.0ms	(cos (/ (* z t) 3.0))
25.0ms	(sin (/ (* z t) 3.0))

simplify734.0ms

Counts: 70 → 70

prune509.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.5b	(/ a (* b 3.0))
28.2b	(cos (* 0.3333333333333333 (* t z)))
28.2b	(sin (/ (* z t) 3.0))

rewrite174.0ms

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×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

135.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms	(/ a (* b 3.0))
24.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series357.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
21.0ms	(/ a (* b 3.0))
12.0ms	(cos (* 0.3333333333333333 (* t z)))
20.0ms	(sin (/ (* z t) 3.0))

simplify736.0ms

Counts: 70 → 70

prune586.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 17.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
0.5b	(/ a (* b 3.0))
28.1b	(sin (* 0.3333333333333333 (* t z)))
28.2b	(cos (* 0.3333333333333333 (* t z)))

rewrite228.0ms

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×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

173.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
8.0ms	(/ a (* b 3.0))
19.0ms	(sin (* 0.3333333333333333 (* t z)))
24.0ms	(cos (* 0.3333333333333333 (* t z)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
25.0ms	(/ a (* b 3.0))
25.0ms	(sin (* 0.3333333333333333 (* t z)))
17.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify855.0ms

Counts: 70 → 70

prune343.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 17.5b

regimes3.4s

Accuracy

59.7% (1.6b remaining)

Error of 18.4b against oracle of 16.9b and baseline of 20.7b

bsearch5.0ms

simplify891.0ms

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.1s	8889×	body	80	nan
1.2s	1584×	body	1280	valid
671.0ms	5532×	body	80	valid
591.0ms	969×	body	640	valid
462.0ms	439×	body	320	valid
384.0ms	373×	body	2560	valid
45.0ms	204×	body	160	valid