Details

sample314.0ms

Algorithm

intervals

Results

97.0ms	349×	body	80	nan
86.0ms	65×	body	1280	valid
33.0ms	20×	body	2560	valid
30.0ms	163×	body	80	valid
22.0ms	29×	body	640	valid
6.0ms	11×	body	320	valid
2.0ms	6×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	89
3	76
2	54
1	32
0	18

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize39.0ms

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))))
24.5b	(cos (- y (/ (* z t) 3.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `clear-num` `frac-2neg` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 76

Calls

4 calls:

12.0ms	(/ (* z t) 3.0)
8.0ms	(/ a (* b 3.0))
35.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* z t) 3.0)
28.0ms	(/ a (* b 3.0))
131.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
49.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1995
1	426
0	174

prune761.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 18.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
1.4b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
28.3b	(sin (/ (* z t) 3.0))
28.5b	(cos (/ (* z t) 3.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

39.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
35.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
3.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series437.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
167.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
21.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1349
1	325
0	128

prune756.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
1.4b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
28.3b	(sin (/ (* z t) 3.0))
28.4b	(cos (* 0.3333333333333333 (* t z)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

73.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
33.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
7.0ms	(sin (/ (* z t) 3.0))
17.0ms	(cos (* 0.3333333333333333 (* t z)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
150.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
17.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1399
1	331
0	131

prune693.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 18.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
1.5b	(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
28.3b	(sin (* 0.3333333333333333 (* t z)))
28.4b	(cos (* 0.3333333333333333 (* t z)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 64

Calls

4 calls:

96.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
100.0ms	(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
27.0ms	(sin (* 0.3333333333333333 (* t z)))
24.0ms	(cos (* 0.3333333333333333 (* t z)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
186.0ms	(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
19.0ms	(sin (* 0.3333333333333333 (* t z)))
12.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1439
1	316
0	123

prune558.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 18.1b

regimes6.4s

Accuracy

44.9% (2.0b remaining)

Error of 18.2b against oracle of 16.1b and baseline of 19.9b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	54
2	54
1	53
0	41

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.6s	9129×	body	80	nan
1.8s	1614×	body	1280	valid
1.2s	5569×	body	80	valid
1.0s	385×	body	2560	valid
897.0ms	945×	body	640	valid
296.0ms	422×	body	320	valid
78.0ms	223×	body	160	valid