Details

sample121.0ms

Algorithm

intervals

Results

64.0ms	55×	body	1280	valid
18.0ms	32×	body	640	valid
18.0ms	141×	body	80	valid
8.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite48.0ms

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×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

19.0ms	(+ (* x (cos y)) (* z (sin y)))
14.0ms	(* x (cos y))
15.0ms	(* z (sin y))

series241.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ (* x (cos y)) (* z (sin y)))
47.0ms	(* x (cos y))
79.0ms	(* z (sin y))

simplify766.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2000
3	1546
2	494
1	192
0	83

prune285.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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))

rewrite17.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series570.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
115.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))

simplify694.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
3	1192
2	354
1	145
0	66

prune366.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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:

16.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
39.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series280.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
41.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
102.0ms	(cbrt (cos y))

simplify539.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
2	955
1	328
0	131

prune574.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
47×	`prod-exp`
18×	`add-sqr-sqrt` `pow1` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`associate-r`
9×	`pow-to-exp`
7×	`associate-l`
6×	`swap-sqr`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-prod-down` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

65.0ms	(* (* x (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
18.0ms	(* (cos y) (cos y))
18.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series655.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (* x (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
31.0ms	(* (cos y) (cos y))
30.0ms	(* (cos y) (cos y))
451.0ms	(cbrt (cos y))

simplify739.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
2	905
1	306
0	119

prune560.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.0s	1558×	body	1280	valid
1.4s	4316×	body	80	valid
924.0ms	1184×	body	640	valid
367.0ms	646×	body	320	valid
102.0ms	296×	body	160	valid