Details

sample99.0ms

Algorithm

intervals

Results

31.0ms	33×	body	1280	valid
26.0ms	194×	body	80	valid
11.0ms	18×	body	640	valid
4.0ms	10×	body	320	valid
0.0ms	1×	body	160	valid

simplify21.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite104.0ms

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:

10.0ms	(+ x (sin y))
61.0ms	(+ (+ x (sin y)) (* z (cos y)))
33.0ms	(* z (cos y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (sin y))
77.0ms	(+ (+ x (sin y)) (* z (cos y)))
54.0ms	(* z (cos y))

simplify2.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	78	455
1	203	424
2	714	398
3	3875	398
done	5002	398

prune301.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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:

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (cos y))
16.0ms	(sqrt (cos y))
74.0ms	(* z (sqrt (cos y)))
44.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify904.0ms

Counts

81 → 81

Iterations

Useful iterations: done (901.0ms)

Iter	Nodes	Cost
0	69	638
1	167	487
2	894	452
done	5001	441

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
0.1b	(* (* z (sqrt (cos y))) (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y)))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
10×	`cbrt-prod` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
4×	`associate-l` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 70

Calls

4 calls:

27.0ms	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
65.0ms	(* (* z (sqrt (cos y))) (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y)))))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))))
152.0ms	(* (* z (sqrt (cos y))) (* (fabs (cbrt (cos y))) (sqrt (cbrt (cos y)))))
162.0ms	(cbrt (cos y))
137.0ms	(cbrt (cos y))

simplify896.0ms

Counts

82 → 82

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	112	1099
1	268	993
2	1313	853
done	5000	842

prune481.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* z (sqrt (cos y))) 3)
0.1b	(* z (sqrt (cos y)))
0.1b	(* (cbrt (pow (* z (sqrt (cos y))) 3)) (sqrt (cos y)))
32.8b	(cbrt (pow (* z (sqrt (cos y))) 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
20×	`cbrt-prod`
14×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log`
10×	`sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
5×	`sqr-pow`
4×	`add-log-exp`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube`

Counts

4 → 95

Calls

4 calls:

15.0ms	(pow (* z (sqrt (cos y))) 3)
11.0ms	(* z (sqrt (cos y)))
24.0ms	(* (cbrt (pow (* z (sqrt (cos y))) 3)) (sqrt (cos y)))
4.0ms	(cbrt (pow (* z (sqrt (cos y))) 3))

series300.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(pow (* z (sqrt (cos y))) 3)
64.0ms	(* z (sqrt (cos y)))
59.0ms	(* (cbrt (pow (* z (sqrt (cos y))) 3)) (sqrt (cos y)))
64.0ms	(cbrt (pow (* z (sqrt (cos y))) 3))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	116	1225
1	278	993
2	1571	909
done	5000	847

prune647.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

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

962.0ms	5643×	body	80	valid
725.0ms	960×	body	1280	valid
334.0ms	816×	body	640	valid
143.0ms	384×	body	320	valid
35.0ms	197×	body	160	valid