Details

sample83.0ms

Algorithm

intervals

Results

33.0ms	47×	body	1280	valid
15.0ms	34×	body	640	valid
15.0ms	147×	body	80	valid
6.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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:

38.0ms	(* x (sin y))
12.0ms	(* z (cos y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* x (sin y))
42.0ms	(* z (cos y))

simplify4.5s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
4	2014
3	719
2	276
1	127
0	63

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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))

rewrite37.0ms

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:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series667.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
162.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))

simplify4.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune580.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite94.0ms

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:

8.0ms	(pow (* (cos y) (cos y)) 1/3)
71.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series449.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(pow (* (cos y) (cos y)) 1/3)
58.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
136.0ms	(cbrt (cos y))

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	3417
2	1127
1	357
0	132

prune559.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

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` `associate-l/` `-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

76.0ms	(* (* (cbrt (* (cos y) (cos y))) z) (cbrt (cos y)))
14.0ms	(* (cos y) (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))
1.0ms	(cbrt (cos y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (cbrt (* (cos y) (cos y))) z) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
231.0ms	(cbrt (* (cos y) (cos y)))
152.0ms	(cbrt (cos y))

simplify2.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	2972
2	893
1	301
0	117

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1524×	body	1280	valid
813.0ms	1266×	body	640	valid
607.0ms	4232×	body	80	valid
487.0ms	338×	body	160	valid
255.0ms	640×	body	320	valid