Details

sample95.0ms

Algorithm

intervals

Results

23.0ms	24×	body	1280	valid
22.0ms	178×	body	80	valid
17.0ms	29×	body	640	valid
8.0ms	18×	body	320	valid
2.0ms	7×	body	160	valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.2b	(* z (cos y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

19.0ms	(+ x (sin y))
58.0ms	(+ (+ x (sin y)) (* z (cos y)))
14.0ms	(* z (cos y))

series186.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (sin y))
78.0ms	(+ (+ x (sin y)) (* z (cos y)))
65.0ms	(* z (cos y))

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	78	455
1	196	424
2	561	398
3	1909	398
done	5000	398

prune145.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series718.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
194.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.1s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt z) (cbrt z))
250.0ms	(cbrt z)
260.0ms	(cbrt z)
256.0ms	(cbrt z)

simplify4.4s

Counts

85 → 85

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune275.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt (cos y))
2.0ms	(sqrt (cos y))
11.0ms	(* z (sqrt (cos y)))
35.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt (cos y))
17.0ms	(sqrt (cos y))
70.0ms	(* z (sqrt (cos y)))
51.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify3.9s

Counts

81 → 81

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	69	638
1	156	487
2	419	441
3	851	441
4	1249	441
5	2784	441
done	5001	441

prune271.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

756.0ms	975×	body	1280	valid
567.0ms	5523×	body	80	valid
397.0ms	836×	body	640	valid
371.0ms	201×	body	160	valid
161.0ms	465×	body	320	valid