Details

sample94.0ms

Algorithm

intervals

Results

19.0ms	50×	body	1280	valid
17.0ms	282×	body	80	nan
11.0ms	183×	body	80	valid
9.0ms	33×	body	640	valid
8.0ms	7×	body	2560	valid
3.0ms	14×	body	320	valid
1.0ms	4×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	57	19
3	80	19
4	95	19
5	102	19
6	104	19
done	104	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
24.2b	(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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:

4.0ms	(/ (* z t) 3.0)
16.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
13.0ms	(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
92.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	327	2847
1	686	2377
2	1962	1875
done	5000	1875

prune424.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.9b	(sin (/ (* z t) 3.0))
28.0b	(cos (/ (* z t) 3.0))

rewrite22.0ms

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-r` `associate-l` `clear-num` `associate-/r` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 66

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify1.9s

Counts

78 → 78

Iterations

Useful iterations: 3 (787.0ms)

Iter	Nodes	Cost
0	140	971
1	315	938
2	1021	760
3	4120	753
done	5000	753

prune419.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

localize31.0ms

Local error

Found 4 expressions with local error:

27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
28.0b	(cos (/ (* z t) 3.0))

rewrite6.0ms

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:

1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series60.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: 2 (10.0ms)

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	245	352
8	653	352
9	2489	352
done	5001	352

prune430.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.3b

localize32.0ms

Local error

Found 4 expressions with local error:

27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
28.0b	(cos (/ (* z t) 3.0))

rewrite6.0ms

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:

1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series59.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: 2 (10.0ms)

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	245	352
8	653	352
9	2489	352
done	5001	352

prune327.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 15.3b

regimes2.2s

Accuracy

47.6% (2.0b remaining)

Error of 18.6b against oracle of 16.7b and baseline of 20.5b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	41	116
1	57	99
done	57	99

end0.0ms

sample2.8s

Algorithm

intervals

Results

619.0ms	1598×	body	1280	valid
588.0ms	9036×	body	80	nan
330.0ms	5556×	body	80	valid
262.0ms	961×	body	640	valid
262.0ms	394×	body	2560	valid
80.0ms	396×	body	320	valid
28.0ms	209×	body	160	valid