Details

sample257.0ms

Algorithm

intervals

Results

97.0ms	61×	body	1280	valid
54.0ms	294×	body	80	nan
28.0ms	166×	body	80	valid
21.0ms	29×	body	640	valid
14.0ms	11×	body	2560	valid
5.0ms	9×	body	320	valid
3.0ms	9×	body	160	valid

simplify441.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
28.2b	(cos (- y (/ (* z t) 3.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`prod-diff`
19×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`clear-num` `frac-2neg`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 105

Calls

4 calls:

7.0ms	(/ a (* b 3.0))
26.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms	(/ (* z t) 3.0)
15.0ms	(cos (- y (/ (* z t) 3.0)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ a (* b 3.0))
150.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
28.0ms	(/ (* z t) 3.0)
59.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1886
1	713
0	331

prune1.2s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 14.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ (* z t) 3.0)
32.9b	(sin (/ (* z t) 3.0))
33.3b	(cos (/ (* z t) 3.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 68

Calls

4 calls:

15.0ms	(/ (* z t) 3.0)
21.0ms	(/ (* z t) 3.0)
17.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series133.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* z t) 3.0)
50.0ms	(/ (* z t) 3.0)
33.0ms	(sin (/ (* z t) 3.0))
15.0ms	(cos (/ (* z t) 3.0))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5197
3	2132
2	488
1	154
0	78

prune1.2s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 13.9b

localize121.0ms

Local error

Found 4 expressions with local error:

32.9b	(sin (/ (* z t) 3.0))
32.9b	(sin (/ (* z t) 3.0))
32.9b	(sin (/ (* z t) 3.0))
33.3b	(cos (/ (* z t) 3.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series97.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5015
9	3054
8	918
7	384
6	210
5	131
4	84
3	68
2	56
1	42
0	33

prune1.0s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 13.9b

localize118.0ms

Local error

Found 4 expressions with local error:

32.9b	(sin (/ (* z t) 3.0))
32.9b	(sin (/ (* z t) 3.0))
32.9b	(sin (/ (* z t) 3.0))
33.3b	(cos (/ (* z t) 3.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series102.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (* z t) 3.0))
30.0ms	(sin (/ (* z t) 3.0))
22.0ms	(sin (/ (* z t) 3.0))
20.0ms	(cos (/ (* z t) 3.0))

simplify3.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5015
9	3054
8	918
7	384
6	210
5	131
4	84
3	68
2	56
1	42
0	33

prune831.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 13.9b

regimes8.0s

Accuracy

49.4% (2.9b remaining)

Error of 16.7b against oracle of 13.8b and baseline of 19.6b

bsearch3.0ms

simplify35.0ms

Iterations

Iter	Nodes
done	85
3	85
2	84
1	81
0	61

end0.0ms

sample10.9s

Algorithm

intervals

Results

3.0s	8986×	body	80	nan
2.8s	1620×	body	1280	valid
1.9s	5597×	body	80	valid
988.0ms	899×	body	640	valid
705.0ms	362×	body	2560	valid
414.0ms	411×	body	320	valid
101.0ms	218×	body	160	valid