Details

sample83.0ms

Algorithm

intervals

Results

34.0ms	49×	body	1280	valid
15.0ms	40×	body	640	valid
13.0ms	140×	body	80	valid
4.0ms	13×	body	320	valid
3.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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 (cos y)) (* z (sin y)))
16.0ms	(* z (sin y))
32.0ms	(* x (cos y))

series203.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))
52.0ms	(* x (cos y))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1577
2	499
1	190
0	80

prune403.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

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))

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:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series705.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
153.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))

simplify1.7s

Counts

85 → 85

Iterations

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

prune498.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

17.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
30.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
12.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series312.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
39.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
115.0ms	(cbrt (cos y))

simplify2.1s

Counts

99 → 99

Iterations

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

prune529.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

39.0ms	(* (* (cbrt (* (cos y) (cos y))) x) (cbrt (cos y)))
12.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
4.0ms	(cbrt (* (cos y) (cos y)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (cbrt (* (cos y) (cos y))) x) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
132.0ms	(cbrt (cos y))
188.0ms	(cbrt (* (cos y) (cos y)))

simplify3.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3042
2	899
1	298
0	113

prune543.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes816.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1491×	body	1280	valid
1.2s	1300×	body	640	valid
517.0ms	4233×	body	80	valid
290.0ms	644×	body	320	valid
125.0ms	332×	body	160	valid