Details

sample146.0ms

Algorithm

intervals

Results

50.0ms	48×	body	1280	valid
26.0ms	15×	body	160	valid
24.0ms	36×	body	640	valid
21.0ms	132×	body	80	valid
12.0ms	25×	body	320	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune7.0ms

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

rewrite72.0ms

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`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

37.0ms	(- (* x (cos y)) (* z (sin y)))
16.0ms	(* x (cos y))
18.0ms	(* z (sin y))

series288.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(- (* x (cos y)) (* z (sin y)))
92.0ms	(* x (cos y))
67.0ms	(* z (sin y))

simplify1.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5002
3	2622
2	568
1	183
0	83

prune342.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite29.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series780.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))
186.0ms	(cbrt (cos y))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	689
1	148
0	66

prune512.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
44.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series437.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
65.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
153.0ms	(cbrt (cos y))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2329
1	340
0	131

prune639.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
1.5b	(log (* (cos y) (cos y)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
18×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r` `prod-exp`
6×	`cbrt-prod` `log-pow` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`pow2` `pow-plus` `rem-log-exp` `pow-sqr` `cos-mult` `*-commutative` `pow-prod-up`
1×	`pow-to-exp` `log-div` `sqr-cos` `log-prod` `unpow1/3` `pow1/3` `pow-exp` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

130.0ms	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
14.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
9.0ms	(log (* (cos y) (cos y)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x (pow (exp (log (* (cos y) (cos y)))) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
119.0ms	(cbrt (cos y))
177.0ms	(log (* (cos y) (cos y)))

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	2096
1	325
0	127

prune568.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.3s	1536×	body	1280	valid
1.3s	1349×	body	640	valid
1.1s	4192×	body	80	valid
425.0ms	586×	body	320	valid
115.0ms	337×	body	160	valid