Details

sample74.0ms

Algorithm

intervals

Results

23.0ms	168×	body	80	valid
19.0ms	34×	body	1280	valid
11.0ms	32×	body	640	valid
4.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

72.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (+ x (sin y)) (* z (cos y)))
45.0ms	(* z (cos y))

simplify2.3s

Counts

37 → 37

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	62	349
1	159	330
2	629	304
3	4119	304
done	5000	304

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

18.0ms	(+ (sin y) (* z (cos y)))
9.0ms	(* z (cos y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (sin y) (* z (cos y)))
57.0ms	(* z (cos y))

simplify1.3s

Counts

35 → 35

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	59	294
1	148	277
2	452	255
3	1766	255
done	5000	255

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

19.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

360.0ms	(* (cbrt z) (cbrt z))
307.0ms	(cbrt z)
240.0ms	(cbrt z)
293.0ms	(cbrt z)

simplify989.0ms

Counts

85 → 85

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt z) (cos y))
0.3b	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
0.6b	(cbrt z)
30.2b	(cbrt (* z z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log`
10×	`associate-l`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

11.0ms	(* (cbrt z) (cos y))
32.0ms	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series737.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt z) (cos y))
67.0ms	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
242.0ms	(cbrt z)
253.0ms	(cbrt (* z z))

simplify712.0ms

Counts

73 → 73

Iterations

Useful iterations: done (710.0ms)

Iter	Nodes	Cost
0	94	577
1	209	557
2	907	497
done	5000	483

prune386.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

825.0ms	996×	body	1280	valid
702.0ms	798×	body	640	valid
659.0ms	5592×	body	80	valid
240.0ms	406×	body	320	valid
43.0ms	208×	body	160	valid