Details

sample271.0ms

Algorithm

intervals

Results

49.0ms	65×	body	1280	valid
49.0ms	349×	body	80	nan
38.0ms	6×	body	160	valid
22.0ms	20×	body	2560	valid
19.0ms	163×	body	80	valid
16.0ms	29×	body	640	valid
4.0ms	11×	body	320	valid

simplify320.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
6	86
5	84
4	78
3	67
2	50
1	32
0	18

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize205.0ms

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)))

rewrite184.0ms

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:

27.0ms	(/ (* z t) 3.0)
32.0ms	(/ a (* b 3.0))
81.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms	(cos (- y (/ (* z t) 3.0)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* z t) 3.0)
31.0ms	(/ a (* b 3.0))
233.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
78.0ms	(cos (- y (/ (* z t) 3.0)))

simplify3.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1363
1	426
0	174

prune2.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 18.5b

localize271.0ms

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))

rewrite200.0ms

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:

75.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
104.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
8.0ms	(sin (/ (* z t) 3.0))
8.0ms	(cos (/ (* z t) 3.0))

series769.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
368.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
25.0ms	(sin (/ (* z t) 3.0))
17.0ms	(cos (/ (* z t) 3.0))

simplify3.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1204
1	323
0	128

prune2.0s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 18.3b

localize308.0ms

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)))

rewrite402.0ms

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:

183.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
128.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
13.0ms	(sin (/ (* z t) 3.0))
75.0ms	(cos (* 0.3333333333333333 (* t z)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

437.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
362.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
25.0ms	(sin (/ (* z t) 3.0))
27.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1236
1	325
0	131

prune1.9s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 18.3b

localize248.0ms

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)))

rewrite933.0ms

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:

207.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
241.0ms	(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
39.0ms	(sin (* 0.3333333333333333 (* t z)))
442.0ms	(cos (* 0.3333333333333333 (* t z)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

397.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
342.0ms	(* (* (sin y) (sin (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
38.0ms	(sin (* 0.3333333333333333 (* t z)))
19.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify3.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1242
1	314
0	123

prune1.4s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 18.2b

regimes19.5s

Accuracy

57.5% (1.6b remaining)

Error of 17.9b against oracle of 16.2b and baseline of 20.0b

bsearch10.0ms

simplify34.0ms

Iterations

Iter	Nodes
done	60
1	60
0	43

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.5s	9129×	body	80	nan
1.7s	1614×	body	1280	valid
1.1s	5569×	body	80	valid
1.0s	945×	body	640	valid
645.0ms	385×	body	2560	valid
189.0ms	422×	body	320	valid
65.0ms	223×	body	160	valid