Details

sample156.0ms

Algorithm

intervals

Results

35.0ms	258×	body	80	nan
31.0ms	57×	body	1280	valid
16.0ms	177×	body	80	valid
12.0ms	14×	body	2560	valid
12.0ms	28×	body	640	valid
4.0ms	14×	body	320	valid
0.0ms	3×	body	160	valid

simplify79.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.4b	(cos (- y (/ (* z t) 3.0)))

rewrite101.0ms

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:

14.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
41.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.0ms	(cos (- y (/ (* z t) 3.0)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* z t) 3.0)
26.0ms	(/ a (* b 3.0))
129.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
52.0ms	(cos (- y (/ (* z t) 3.0)))

simplify717.0ms

Counts: 84 → 84

prune493.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 18.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
1.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.8b	(cos (/ (* z t) 3.0))
31.9b	(sin (/ (* z t) 3.0))

rewrite120.0ms

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:

25.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
82.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(cos (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))

series574.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
456.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms	(cos (/ (* z t) 3.0))
26.0ms	(sin (/ (* z t) 3.0))

simplify562.0ms

Counts: 68 → 68

prune459.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.9b	(sin (/ (* z t) 3.0))
32.2b	(cos (* 0.3333333333333333 (* t z)))

rewrite180.0ms

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:

99.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
45.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(sin (/ (* z t) 3.0))
29.0ms	(cos (* 0.3333333333333333 (* t z)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
141.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify777.0ms

Counts: 72 → 72

prune625.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 18.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
31.9b	(sin (* 0.3333333333333333 (* t z)))
32.2b	(cos (* 0.3333333333333333 (* t z)))

rewrite284.0ms

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:

89.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
130.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.0ms	(sin (* 0.3333333333333333 (* t z)))
36.0ms	(cos (* 0.3333333333333333 (* t z)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
140.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
24.0ms	(sin (* 0.3333333333333333 (* t z)))
16.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify749.0ms

Counts: 72 → 72

prune373.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.0b

regimes3.4s

Accuracy

42.9% (2.1b remaining)

Error of 18.8b against oracle of 16.7b and baseline of 20.4b

bsearch3.0ms

simplify1.2s

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.3s	9147×	body	80	nan
1.2s	932×	body	640	valid
1.2s	5465×	body	80	valid
1.1s	1648×	body	1280	valid
486.0ms	382×	body	2560	valid
249.0ms	470×	body	320	valid
41.0ms	189×	body	160	valid