Details

sample101.0ms

Algorithm

intervals

Results

35.0ms	47×	body	1280	valid
17.0ms	147×	body	80	valid
15.0ms	34×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

13.0ms	(* x (sin y))
41.0ms	(* z (cos y))

series170.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* x (sin y))
85.0ms	(* z (cos y))

simplify5.8s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
4	2275
3	808
2	302
1	128
0	63

prune659.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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))

rewrite42.0ms

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:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))
4.0ms	(cbrt (cos y))

series1.1s

Counts

4 → 12

Calls

4 calls:

373.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
244.0ms	(cbrt (cos y))
273.0ms	(cbrt (cos y))
218.0ms	(cbrt (cos y))

simplify10.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
4	4445
3	1186
2	352
1	145
0	66

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

11.0ms	(pow (* (cos y) (cos y)) 1/3)
76.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
5.0ms	(cbrt (cos y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(pow (* (cos y) (cos y)) 1/3)
73.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
46.0ms	(* (cos y) (cos y))
204.0ms	(cbrt (cos y))

simplify7.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	3830
2	1277
1	358
0	132

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))
0.3b	(cbrt (cos y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

68.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
14.0ms	(* (cos y) (cos y))
9.0ms	(cbrt (* (cos y) (cos y)))
3.0ms	(cbrt (cos y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
37.0ms	(* (cos y) (cos y))
311.0ms	(cbrt (* (cos y) (cos y)))
177.0ms	(cbrt (cos y))

simplify5.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	2801
2	865
1	292
0	114

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes764.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.3s	1524×	body	1280	valid
1.1s	1266×	body	640	valid
1.1s	4232×	body	80	valid
306.0ms	640×	body	320	valid
109.0ms	338×	body	160	valid