Details

sample204.0ms

Algorithm

intervals

Results

67.0ms	45×	body	1280	valid
35.0ms	311×	body	80	nan
18.0ms	182×	body	80	valid
15.0ms	33×	body	640	valid
13.0ms	12×	body	2560	valid
8.0ms	21×	body	320	valid
2.0ms	7×	body	160	valid

simplify73.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
6	86
5	84
4	78
3	67
2	50
1	32
0	18

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize49.0ms

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))
23.3b	(cos (- y (/ (* z t) 3.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(/ (* z t) 3.0)
36.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
18.0ms	(cos (- y (/ (* z t) 3.0)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z t) 3.0)
121.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms	(/ a (* b 3.0))
42.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1364
1	422
0	170

prune817.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(/ (* z t) (sqrt 3.0))
0.3b	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
23.2b	(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
60×	`sqrt-prod`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
13×	`associate-/r*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`cos-sum`
1×	`cos-diff` `sub-neg` `associate-/l/`

Counts

4 → 151

Calls

4 calls:

9.0ms	(/ a (* b 3.0))
11.0ms	(/ (* z t) (sqrt 3.0))
19.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
73.0ms	(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

series499.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ a (* b 3.0))
99.0ms	(/ (* z t) (sqrt 3.0))
170.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
202.0ms	(cos (- y (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))))

simplify1.2s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	1576
1	542
0	235

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 17.8b

localize82.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
0.3b	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
28.1b	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
28.5b	(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
108×	`sqrt-prod`
90×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
20×	`associate-/l*`
16×	`div-inv`
12×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 200

Calls

4 calls:

15.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
13.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
10.0ms	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
13.0ms	(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
167.0ms	(/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))
84.0ms	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
95.0ms	(sin (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))

simplify1.1s

Counts

212 → 212

Iterations

Iter	Nodes
done	5000
2	1154
1	401
0	174

prune2.1s

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.6b

localize115.0ms

Local error

Found 4 expressions with local error:

13.7b	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
13.7b	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
28.1b	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
28.4b	(sin (* (* (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

192×	`times-frac`
128×	`cbrt-prod`
96×	`sqrt-prod`
82×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`div-inv`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`cbrt-div` `pow1/3`

Counts

4 → 160

Calls

4 calls:

14.0ms	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
12.0ms	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
13.0ms	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
17.0ms	(sin (* (* (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

340.0ms	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
290.0ms	(cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
93.0ms	(cos (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))
124.0ms	(sin (* (* (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))) (cbrt (/ (/ (* z t) (sqrt 3.0)) (sqrt 3.0)))))

simplify1.7s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
3	2301
2	795
1	412
0	240

prune1.8s

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.6b

regimes7.0s

Accuracy

52% (1.9b remaining)

Error of 18.5b against oracle of 16.6b and baseline of 20.5b

bsearch4.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	57
1	57
0	44

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.4s	9187×	body	80	nan
1.3s	1639×	body	1280	valid
1.2s	5564×	body	80	valid
942.0ms	387×	body	2560	valid
565.0ms	926×	body	640	valid
179.0ms	431×	body	320	valid
84.0ms	218×	body	160	valid