Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	53×	body	1280	valid
12.0ms	49×	body	640	valid
7.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))
0.2b	(* x (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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

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

series161.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (* x (cos y)) (* z (sin y)))
40.0ms	(* z (sin y))
44.0ms	(* x (cos y))

simplify1.7s

Counts

57 → 57

Iterations

Useful iterations: 3 (168.0ms)

Iter	Nodes	Cost
0	82	464
1	173	436
2	385	420
3	864	402
4	1875	402
done	5001	402

prune158.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

series517.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
116.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))
112.0ms	(cbrt (cos y))

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.0s)

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

prune521.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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	(* z (sin y))
18.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series214.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
44.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
111.0ms	(cbrt (cos y))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	126	759
1	291	658
2	895	585
3	3646	523
done	5001	523

prune291.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series446.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (cbrt (cos y)))
111.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))
114.0ms	(cbrt (cos y))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	46	391
1	77	379
2	174	341
3	448	329
4	1558	329
done	5002	329

prune238.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

640.0ms	1503×	body	1280	valid
359.0ms	1294×	body	640	valid
239.0ms	4278×	body	80	valid
108.0ms	607×	body	320	valid
45.0ms	318×	body	160	valid