Details

sample98.0ms

Algorithm

intervals

Results

36.0ms	45×	body	1280	valid
17.0ms	33×	body	640	valid
14.0ms	133×	body	80	valid
10.0ms	27×	body	320	valid
4.0ms	18×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

8.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* x (sin y))
7.0ms	(* z (cos y))

series219.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* x (sin y))
55.0ms	(* z (cos y))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1575
2	499
1	192
0	81

prune429.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite19.0ms

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` `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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series721.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
166.0ms	(cbrt (cos y))
157.0ms	(cbrt (cos y))

simplify2.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune568.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

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)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite82.0ms

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` `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 → 87

Calls

4 calls:

21.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
34.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
47.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
494.0ms	(cbrt (cos y))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
3	2818
2	928
1	333
0	127

prune556.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos y) (cos y))
0.3b	(* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

553×	`pow1`
279×	`pow-prod-up`
192×	`pow-plus`
93×	`pow-prod-down`
87×	`pow-sqr`
54×	`pow2`
42×	`add-cbrt-cube` `add-exp-log`
28×	`prod-exp` `cbrt-unprod`
24×	`pow3`
11×	`add-sqr-sqrt`
10×	`associate-*l/`
9×	`*-un-lft-identity` `cos-mult` `add-cube-cbrt`
4×	`cbrt-prod` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
3×	`cbrt-div`
2×	`frac-times` `pow1/3` `associate-r/` `-commutative`
1×	`sqr-cos` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 245

Calls

4 calls:

11.0ms	(* (cos y) (cos y))
157.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y)))
2.0ms	(cbrt (cos y))
181.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cos y) (cos y))
56.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y)))
156.0ms	(cbrt (cos y))
27.0ms	(cbrt (* (* (* (cos y) (cos y)) (cos y)) (* (* (cos y) (cos y)) (cos y))))

simplify2.9s

Counts

257 → 257

Iterations

Iter	Nodes
done	5004
3	2971
2	1084
1	377
0	136

prune741.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1463×	body	1280	valid
701.0ms	665×	body	320	valid
645.0ms	1208×	body	640	valid
625.0ms	4336×	body	80	valid
108.0ms	328×	body	160	valid