Details

sample218.0ms

Algorithm

intervals

Results

50.0ms	181×	body	80	valid
38.0ms	61×	body	1280	valid
37.0ms	329×	body	80	nan
17.0ms	18×	body	2560	valid
12.0ms	28×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify113.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0b	(cos (- y (/ (* z t) 3.0)))

rewrite131.0ms

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	(/ a (* b 3.0))
15.0ms	(/ (* z t) 3.0)
49.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
46.0ms	(cos (- y (/ (* z t) 3.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ a (* b 3.0))
20.0ms	(/ (* z t) 3.0)
107.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
61.0ms	(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	1867	1875
done	5000	1638

prune535.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.0b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*l/` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

14.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
49.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
3.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series310.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
226.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
19.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify3.5s

Counts

76 → 76

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	106	1065
1	225	1032
2	809	848
3	3726	840
done	5001	828

prune535.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.7b

localize56.0ms

Local error

Found 4 expressions with local error:

28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite15.0ms

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:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin (/ (* z t) 3.0))
21.0ms	(sin (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	31	400
1	40	400
2	53	352
3	65	352
4	75	352
5	92	352
6	131	352
7	262	352
8	847	352
9	3662	352
done	5001	352

prune483.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.7b

localize66.0ms

Local error

Found 4 expressions with local error:

28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite20.0ms

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:

5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series84.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sin (/ (* z t) 3.0))
20.0ms	(sin (/ (* z t) 3.0))
30.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify3.6s

Counts

48 → 48

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	31	400
1	40	400
2	53	352
3	65	352
4	75	352
5	92	352
6	131	352
7	262	352
8	847	352
9	3662	352
done	5001	352

prune391.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.7b

regimes3.2s

Accuracy

57.7% (1.6b remaining)

Error of 18.0b against oracle of 16.4b and baseline of 20.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	65
1	49	65
done	49	65

end0.0ms

sample6.4s

Algorithm

intervals

Results

1.7s	9197×	body	80	nan
1.2s	1562×	body	1280	valid
1.1s	5611×	body	80	valid
454.0ms	962×	body	640	valid
409.0ms	370×	body	2560	valid
133.0ms	461×	body	320	valid
76.0ms	187×	body	160	valid