Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	45×	body	1280	valid
17.0ms	33×	body	640	valid
15.0ms	133×	body	80	valid
9.0ms	27×	body	320	valid
4.0ms	18×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune33.0ms

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

rewrite37.0ms

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:

12.0ms	(+ (* x (cos y)) (* z (sin y)))
11.0ms	(* x (cos y))
12.0ms	(* z (sin y))

series216.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* x (cos y)) (* z (sin y)))
44.0ms	(* x (cos y))
69.0ms	(* z (sin y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1569
2	498
1	190
0	80

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

10.0ms	(+ (* z (sin y)) (* x (cos y)))
6.0ms	(* x (cos y))
7.0ms	(* z (sin y))

series250.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ (* z (sin y)) (* x (cos y)))
51.0ms	(* x (cos y))
57.0ms	(* z (sin y))

simplify2.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	1556
2	501
1	190
0	80

prune401.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite17.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series639.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
137.0ms	(cbrt (sin y))
154.0ms	(cbrt (sin y))
168.0ms	(cbrt (sin y))

simplify3.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	4605
3	1321
2	472
1	175
0	75

prune504.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
11.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (sin y))
129.0ms	(cbrt (sin y))
123.0ms	(cbrt (cbrt (sin y)))
145.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify2.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5023
4	2798
3	966
2	363
1	166
0	79

prune412.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes372.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	1460×	body	1280	valid
1.2s	1209×	body	640	valid
1.0s	4339×	body	80	valid
258.0ms	663×	body	320	valid
135.0ms	329×	body	160	valid