Details

sample155.0ms

Algorithm

intervals

Results

61.0ms	55×	body	1280	valid
42.0ms	32×	body	640	valid
23.0ms	141×	body	80	valid
13.0ms	23×	body	320	valid
2.0ms	5×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite61.0ms

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:

11.0ms	(- (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series171.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (* x (cos y)) (* z (sin y)))
48.0ms	(* x (cos y))
43.0ms	(* z (sin y))

simplify840.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2002
3	1329
2	422
1	182
0	83

prune265.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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))

rewrite35.0ms

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)))
3.0ms	(cbrt (cos y))
9.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series682.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
152.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))

simplify874.0ms

Counts

89 → 89

Iterations

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

prune541.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite94.0ms

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:

22.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
60.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* x (pow (* (cos y) (cos y)) 1/3))
67.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
31.0ms	(* (cos y) (cos y))
125.0ms	(cbrt (cos y))

simplify666.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
2	955
1	328
0	131

prune545.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

72.0ms	(* (* x (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
19.0ms	(* (cos y) (cos y))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series357.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* x (sqrt (pow (* (cos y) (cos y)) 1/3))) (sqrt (pow (* (cos y) (cos y)) 1/3)))
32.0ms	(* (cos y) (cos y))
29.0ms	(* (cos y) (cos y))
145.0ms	(cbrt (cos y))

simplify714.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
2	870
1	281
0	112

prune665.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.2s	1558×	body	1280	valid
1.2s	1184×	body	640	valid
730.0ms	4316×	body	80	valid
345.0ms	646×	body	320	valid
135.0ms	296×	body	160	valid