Details

sample112.0ms

Algorithm

intervals

Results

42.0ms	39×	body	1280	valid
26.0ms	42×	body	640	valid
20.0ms	152×	body	80	valid
7.0ms	17×	body	320	valid
2.0ms	6×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
5×	`add-log-exp`
4×	`distribute-lft-out`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 54

Calls

3 calls:

88.0ms	(+ (* x (sin y)) (* z (cos y)))
30.0ms	(* x (sin y))
19.0ms	(* z (cos y))

series254.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ (* x (sin y)) (* z (cos y)))
65.0ms	(* x (sin y))
67.0ms	(* z (cos y))

simplify2.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	1571
2	500
1	194
0	84

prune328.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series731.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
156.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	1381
2	413
1	158
0	69

prune592.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
53×	`associate-r`
51×	`unswap-sqr`
50×	`unpow-prod-down`
49×	`associate-l`
28×	`add-exp-log`
26×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`prod-exp`
14×	`cbrt-prod`
13×	`swap-sqr` `cbrt-unprod`
10×	`*-commutative`
6×	`sqr-pow`
5×	`pow-prod-down`
4×	`pow-exp` `insert-posit16` `add-log-exp`
3×	`unpow1/3`
2×	`pow-to-exp`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 163

Calls

4 calls:

76.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
326.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
34.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
53.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
145.0ms	(cbrt (cos y))

simplify3.4s

Counts

175 → 175

Iterations

Iter	Nodes
done	5001
3	4877
2	1576
1	532
0	196

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (sqrt (* (cos y) (cos y))) 1/3)) (pow (sqrt (* (cos y) (cos y))) 1/3))
0.2b	(* (cos y) (cos y))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

243×	`add-sqr-sqrt`
166×	`unswap-sqr`
144×	`unpow-prod-down`
120×	`sqrt-prod`
56×	`associate-r`
53×	`associate-l`
34×	`add-exp-log`
30×	`swap-sqr`
29×	`*-un-lft-identity` `add-cube-cbrt`
24×	`*-commutative`
23×	`pow1` `prod-exp`
20×	`sqr-pow`
19×	`add-cbrt-cube`
12×	`cbrt-unprod`
7×	`pow-to-exp` `pow-exp`
5×	`unpow1/3` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod`
2×	`pow2` `sqr-cos` `pow-plus` `pow-sqr` `cos-mult` `pow-prod-up`
1×	`pow1/3`

Counts

4 → 229

Calls

4 calls:

471.0ms	(* (* z (pow (sqrt (* (cos y) (cos y))) 1/3)) (pow (sqrt (* (cos y) (cos y))) 1/3))
13.0ms	(* (cos y) (cos y))
21.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (* z (pow (sqrt (* (cos y) (cos y))) 1/3)) (pow (sqrt (* (cos y) (cos y))) 1/3))
24.0ms	(* (cos y) (cos y))
21.0ms	(* (cos y) (cos y))
134.0ms	(cbrt (cos y))

simplify1.9s

Counts

241 → 241

Iterations

Iter	Nodes
done	5000
2	1689
1	605
0	226

prune1.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes733.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.7s	1395×	body	1280	valid
1.2s	4414×	body	80	valid
1.2s	1246×	body	640	valid
398.0ms	632×	body	320	valid
106.0ms	313×	body	160	valid