Details

sample90.0ms

Algorithm

intervals

Results

26.0ms	34×	body	1280	valid
19.0ms	176×	body	80	valid
14.0ms	27×	body	640	valid
13.0ms	11×	body	320	valid
2.0ms	8×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`sum-log` `associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

59.0ms	(+ (+ x (sin y)) (* z (cos y)))
12.0ms	(* z (cos y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (+ x (sin y)) (* z (cos y)))
63.0ms	(* z (cos y))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	2350
2	551
1	162
0	65

prune188.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

10.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series638.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
141.0ms	(cbrt (cos y))
128.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))

simplify3.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune488.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (* (cos y) (cos y)) 1/3))
0.2b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
36.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series290.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
41.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
18.0ms	(* (cos y) (cos y))
131.0ms	(cbrt (cos y))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3232
2	955
1	328
0	131

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
0.3b	(* (cos y) (cos y))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

54.0ms	(* (* z (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
9.0ms	(* (cos y) (cos y))
9.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (* z (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
23.0ms	(* (cos y) (cos y))
27.0ms	(* (cos y) (cos y))
144.0ms	(cbrt (cos y))

simplify2.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	2637
2	870
1	281
0	112

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	5633×	body	80	valid
863.0ms	957×	body	1280	valid
419.0ms	790×	body	640	valid
264.0ms	398×	body	320	valid
60.0ms	222×	body	160	valid