Details

sample109.0ms

Algorithm

intervals

Results

23.0ms	50×	body	1280	valid
20.0ms	299×	body	80	nan
11.0ms	182×	body	80	valid
8.0ms	30×	body	640	valid
6.0ms	9×	body	2560	valid
2.0ms	13×	body	320	valid
1.0ms	6×	body	160	valid

simplify82.0ms

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: 20.9b

localize22.0ms

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))))
0.3b	(/ a (* b 3.0))
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite80.0ms

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:

10.0ms	(/ (* z t) 3.0)
35.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
24.0ms	(cos (- y (/ (* z t) 3.0)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* z t) 3.0)
117.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms	(/ a (* b 3.0))
43.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

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

prune484.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
1.6b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite64.0ms

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))
46.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
3.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series223.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ a (* b 3.0))
170.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
12.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (/ (* z t) 3.0))

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	140	974
1	306	941
2	1043	763
3	4501	756
done	5000	756

prune481.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
1.6b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite92.0ms

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:

37.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
46.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series392.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (* (cos y) (cos (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
166.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
15.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify956.0ms

Counts

80 → 80

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	132	1358
1	323	1298
2	1287	1026
done	5000	1012

prune475.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.2b

localize36.0ms

Local error

Found 4 expressions with local error:

28.6b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite19.0ms

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:

6.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series72.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))
20.0ms	(sin (/ (* z t) 3.0))
20.0ms	(sin (/ (* z t) 3.0))

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	31	400
1	40	400
2	54	352
3	66	352
4	76	352
5	93	352
6	132	352
7	274	352
8	826	352
9	3583	352
done	5001	352

prune363.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.2b

regimes2.7s

Accuracy

61.7% (1.6b remaining)

Error of 17.6b against oracle of 16.0b and baseline of 20.1b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	117
1	60	101
done	60	101

end0.0ms

sample3.1s

Algorithm

intervals

Results

612.0ms	9046×	body	80	nan
587.0ms	1523×	body	1280	valid
357.0ms	5726×	body	80	valid
249.0ms	928×	body	640	valid
236.0ms	353×	body	2560	valid
85.0ms	421×	body	320	valid
31.0ms	202×	body	160	valid