Details

sample257.0ms

Algorithm

intervals

Results

75.0ms	53×	body	1280	valid
47.0ms	309×	body	80	nan
23.0ms	183×	body	80	valid
17.0ms	14×	body	2560	valid
15.0ms	26×	body	640	valid
5.0ms	11×	body	320	valid
3.0ms	11×	body	160	valid

simplify479.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	76	19
4	89	19
5	92	19
done	92	19

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.4b	(cos (- y (/ (* z t) 3.0)))

rewrite111.0ms

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:

16.0ms	(/ (* z t) 3.0)
12.0ms	(/ a (* b 3.0))
55.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0ms	(cos (- y (/ (* z t) 3.0)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* z t) 3.0)
37.0ms	(/ a (* b 3.0))
183.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
60.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	993
1	420	965
2	1962	821
done	5001	813

prune763.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
28.9b	(sin (/ (* z t) 3.0))
29.0b	(cos (/ (* z t) 3.0))

rewrite102.0ms

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:

11.0ms	(/ a (* b 3.0))
77.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series410.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
338.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
24.0ms	(sin (/ (* z t) 3.0))
20.0ms	(cos (/ (* z t) 3.0))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	166	1246
1	452	1223
2	2224	1031
done	5000	1025

prune958.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
28.9b	(sin (/ (* z t) 3.0))
29.0b	(cos (* 0.3333333333333333 (* t z)))

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:

12.0ms	(/ a (* b 3.0))
130.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
5.0ms	(sin (/ (* z t) 3.0))
25.0ms	(cos (* 0.3333333333333333 (* t z)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ a (* b 3.0))
320.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* 0.3333333333333333 (* t z))) (cos y)) (* (sin y) (sin (/ (* z t) 3.0)))))
24.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	164	1246
1	451	1223
2	2239	1031
done	5000	1025

prune942.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.5b

localize102.0ms

Local error

Found 4 expressions with local error:

28.9b	(sin (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))
29.0b	(cos (* 0.3333333333333333 (* t z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

6.0ms	(sin (/ (* z t) 3.0))
13.0ms	(sin (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))
32.0ms	(cos (* 0.3333333333333333 (* t z)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sin (/ (* z t) 3.0))
32.0ms	(sin (/ (* z t) 3.0))
32.0ms	(sin (/ (* z t) 3.0))
19.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	26	344
1	35	344
2	49	296
3	61	296
4	77	296
5	144	296
6	299	296
7	642	296
8	2097	296
done	5000	296

prune555.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.5b

regimes6.6s

Accuracy

63.9% (1.3b remaining)

Error of 17.4b against oracle of 16.1b and baseline of 19.8b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	45	97
1	60	80
done	60	80

end0.0ms

sample8.4s

Algorithm

intervals

Results

2.5s	9038×	body	80	nan
1.5s	1577×	body	1280	valid
807.0ms	5665×	body	80	valid
701.0ms	952×	body	640	valid
669.0ms	407×	body	320	valid
487.0ms	353×	body	2560	valid
53.0ms	199×	body	160	valid