Details

sample227.0ms

Algorithm

intervals

Results

73.0ms	325×	body	80	nan
33.0ms	51×	body	1280	valid
20.0ms	183×	body	80	valid
18.0ms	16×	body	2560	valid
13.0ms	27×	body	640	valid
4.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify498.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	97	19
5	104	19
6	106	19
done	106	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
26.1b	(cos (- y (/ (* z t) 3.0)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
39.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
32.0ms	(cos (- y (/ (* z t) 3.0)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* z t) 3.0)
156.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(/ a (* b 3.0))
68.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	327	2847
1	666	2377
2	1856	1875
done	5000	1638

prune654.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.8b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
29.2b	(sin (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r` `associate-l` `associate-l/` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
54.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
187.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify3.3s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	140	974
1	306	941
2	1043	763
3	4502	756
done	5000	756

prune685.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
1.8b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
29.2b	(sin (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite150.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

60.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
64.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
6.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (/ (* z t) 3.0))

series553.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
218.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify1.5s

Counts

80 → 80

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	132	1358
1	323	1298
2	1304	1026
done	5000	1012

prune609.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.1b

localize75.0ms

Local error

Found 4 expressions with local error:

29.2b	(sin (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

7.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series70.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (/ (* z t) 3.0))
14.0ms	(cos (/ (* z t) 3.0))
21.0ms	(cos (/ (* z t) 3.0))

simplify3.6s

Counts

48 → 48

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	31	392
1	40	392
2	53	344
3	65	344
4	75	344
5	92	344
6	131	344
7	262	344
8	847	344
9	3662	344
done	5001	344

prune512.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 16.1b

regimes3.7s

Accuracy

60.6% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.2b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	47	85
1	61	85
done	61	85

end0.0ms

sample8.4s

Algorithm

intervals

Results

2.4s	9247×	body	80	nan
1.8s	1648×	body	1280	valid
995.0ms	339×	body	2560	valid
743.0ms	5601×	body	80	valid
586.0ms	971×	body	640	valid
141.0ms	214×	body	160	valid
133.0ms	388×	body	320	valid