Details

sample114.0ms

Algorithm

intervals

Results

35.0ms	49×	body	1280	valid
29.0ms	140×	body	80	valid
18.0ms	41×	body	640	valid
3.0ms	12×	body	320	valid
3.0ms	14×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

15.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))
7.0ms	(* x (sin y))

series220.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (* x (sin y)) (* z (cos y)))
48.0ms	(* z (cos y))
65.0ms	(* x (sin y))

simplify2.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1597
2	500
1	192
0	81

prune381.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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` `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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series740.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
155.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))
151.0ms	(cbrt (cos y))

simplify1.9s

Counts

85 → 85

Iterations

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

prune540.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

42.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
23.0ms	(* x (sin y))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series286.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
61.0ms	(* x (sin y))
30.0ms	(* (cos y) (cos y))
148.0ms	(cbrt (cos y))

simplify2.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5011
3	3213
2	1011
1	345
0	134

prune577.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(log (exp (cbrt (cos y))))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`cbrt-prod` `exp-prod` `associate-r` `associate-l`
4×	`add-log-exp`
3×	`log-prod` `swap-sqr`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `rem-log-exp` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 74

Calls

4 calls:

15.0ms	(* x (sin y))
3.0ms	(log (exp (cbrt (cos y))))
13.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (sin y))
179.0ms	(log (exp (cbrt (cos y))))
18.0ms	(* (cos y) (cos y))
150.0ms	(cbrt (cos y))

simplify3.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5011
4	3891
3	1378
2	601
1	250
0	119

prune629.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	1490×	body	1280	valid
978.0ms	1301×	body	640	valid
476.0ms	4234×	body	80	valid
233.0ms	647×	body	320	valid
179.0ms	328×	body	160	valid