Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
13.0ms	49×	body	640	valid
7.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (* x (sin y)) (* z (cos y)))
3.0ms	(* x (sin y))
3.0ms	(* z (cos y))

series169.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x (sin y)) (* z (cos y)))
42.0ms	(* x (sin y))
45.0ms	(* z (cos y))

simplify1.9s

Counts

56 → 56

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	82	458
1	184	430
2	433	396
3	961	396
4	2250	396
done	5001	396

prune154.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite10.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series492.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
107.0ms	(cbrt (cos y))
106.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	355	521
3	1333	499
4	4814	492
done	5000	492

prune264.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(* x (sin y))
17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series215.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (sin y))
46.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	125	759
1	291	658
2	895	585
3	3646	523
done	5001	523

prune272.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (pow (cos y) 2) 3))
0.4b	(pow (pow (cos y) 2) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
25×	`cbrt-prod`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`cube-prod`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `pow-exp` `add-cbrt-cube` `unpow2`
4×	`add-log-exp`
3×	`pow-to-exp`
2×	`cube-mult` `pow-pow` `pow1/3` `unpow3`
1×	`rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 95

Calls

4 calls:

1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (pow (cos y) 2) 3))
3.0ms	(pow (pow (cos y) 2) 3)

series420.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(pow (cos y) 2)
110.0ms	(cbrt (cos y))
18.0ms	(cbrt (pow (pow (cos y) 2) 3))
50.0ms	(pow (pow (cos y) 2) 3)

simplify3.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	109	1075
1	238	725
2	717	622
3	4038	592
done	5001	592

prune266.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	21	20
done	21	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

639.0ms	1504×	body	1280	valid
341.0ms	1294×	body	640	valid
236.0ms	4276×	body	80	valid
115.0ms	606×	body	320	valid
40.0ms	320×	body	160	valid