Details

sample266.0ms

Algorithm

intervals

Results

85.0ms	58×	body	1280	valid
42.0ms	312×	body	80	nan
21.0ms	173×	body	80	valid
17.0ms	32×	body	640	valid
14.0ms	11×	body	2560	valid
5.0ms	13×	body	320	valid
1.0ms	3×	body	160	valid

simplify95.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize79.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
22.6b	(cos (- y (/ (* z t) 3.0)))

rewrite75.0ms

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` `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 → 72

Calls

4 calls:

36.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ (* z t) 3.0)
6.0ms	(/ a (* b 3.0))
22.0ms	(cos (- y (/ (* z t) 3.0)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms	(/ (* z t) 3.0)
20.0ms	(/ a (* b 3.0))
41.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1997
1	422
0	170

prune889.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.3b

localize115.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.3b	(cos (/ (* z t) 3.0))
27.7b	(sin (/ (* z t) 3.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `associate-l` `associate-r/` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

14.0ms	(/ a (* b 3.0))
64.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
144.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
19.0ms	(cos (/ (* z t) 3.0))
29.0ms	(sin (/ (* z t) 3.0))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1105
1	301
0	132

prune814.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.3b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* (* z t) 0.3333333333333333))))
0.9b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.7b	(sin (/ (* z t) 3.0))
27.9b	(cos (* (* z t) 0.3333333333333333))

rewrite129.0ms

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` `add-log-exp`
2×	`associate-r` `associate-l` `associate-r/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

69.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* (* z t) 0.3333333333333333))))
42.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (* (* z t) 0.3333333333333333))

series319.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* (* z t) 0.3333333333333333))))
124.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
24.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (* (* z t) 0.3333333333333333))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1553
1	355
0	135

prune900.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.3b

localize103.0ms

Local error

Found 4 expressions with local error:

27.7b	(sin (/ (* z t) 3.0))
27.9b	(cos (* (* z t) 0.3333333333333333))
27.9b	(cos (* (* z t) 0.3333333333333333))
27.9b	(cos (* (* z t) 0.3333333333333333))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (* (* z t) 0.3333333333333333))
14.0ms	(cos (* (* z t) 0.3333333333333333))
15.0ms	(cos (* (* z t) 0.3333333333333333))

series55.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (* (* z t) 0.3333333333333333))
12.0ms	(cos (* (* z t) 0.3333333333333333))
12.0ms	(cos (* (* z t) 0.3333333333333333))

simplify1.6s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
8	1845
7	628
6	285
5	147
4	80
3	64
2	52
1	39
0	28

prune477.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.3b

regimes5.6s

Accuracy

54.5% (1.8b remaining)

Error of 18.5b against oracle of 16.7b and baseline of 20.7b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	55
1	55
0	41

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.8s	9012×	body	80	nan
1.6s	1625×	body	1280	valid
758.0ms	376×	body	2560	valid
675.0ms	5512×	body	80	valid
476.0ms	928×	body	640	valid
144.0ms	449×	body	320	valid
81.0ms	225×	body	160	valid