Details

sample117.0ms

Algorithm

intervals

Results

40.0ms	46×	body	1280	valid
26.0ms	45×	body	640	valid
18.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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))

rewrite40.0ms

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 (sin y)) (* z (cos y)))
14.0ms	(* x (sin y))
13.0ms	(* z (cos y))

series234.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* x (sin y)) (* z (cos y)))
51.0ms	(* x (sin y))
60.0ms	(* z (cos y))

simplify2.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3257
2	685
1	194
0	81

prune342.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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))

rewrite23.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series718.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
139.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))
168.0ms	(cbrt (cos y))

simplify931.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune576.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

56.0ms	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
9.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))

series564.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* (cbrt (pow (cos y) 2)) z) (cbrt (cos y)))
166.0ms	(cbrt (cos y))
36.0ms	(pow (cos y) 2)
273.0ms	(cbrt (pow (cos y) 2))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1424
1	280
0	108

prune537.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
6×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `unpow2` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 71

Calls

4 calls:

5.0ms	(pow (cos y) 2)
5.0ms	(pow (cos y) 2)
5.0ms	(cbrt (cbrt (pow (cos y) 2)))
4.0ms	(cbrt (pow (cos y) 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (cos y) 2)
24.0ms	(pow (cos y) 2)
158.0ms	(cbrt (cbrt (pow (cos y) 2)))
265.0ms	(cbrt (pow (cos y) 2))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	2061
2	563
1	185
0	83

prune670.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	1527×	body	1280	valid
929.0ms	1291×	body	640	valid
737.0ms	622×	body	320	valid
539.0ms	4239×	body	80	valid
73.0ms	321×	body	160	valid