Details

sample100.0ms

Algorithm

intervals

Results

33.0ms	34×	body	1280	valid
26.0ms	178×	body	80	valid
16.0ms	25×	body	640	valid
5.0ms	11×	body	320	valid
2.0ms	8×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

33.0ms	(+ x (sin y))
9.0ms	(* z (cos y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (sin y))
47.0ms	(* z (cos y))

simplify3.6s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
5	3647
4	1588
3	628
2	286
1	131
0	58

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite22.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series716.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
157.0ms	(cbrt (cos y))
176.0ms	(cbrt (cos y))
127.0ms	(cbrt (cos y))

simplify3.7s

Counts

89 → 89

Iterations

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

prune487.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

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))

rewrite82.0ms

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)
55.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
15.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(pow (* (cos y) (cos y)) 1/3)
61.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
27.0ms	(* (cos y) (cos y))
131.0ms	(cbrt (cos y))

simplify2.3s

Counts

100 → 100

Iterations

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

prune466.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

22.0ms	(* (cbrt (cos y)) (cbrt (* (cos y) (cos y))))
12.0ms	(* (cos y) (cos y))
6.0ms	(cbrt (* (cos y) (cos y)))
1.0ms	(cbrt (cos y))

series349.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (* (cos y) (cos y))))
21.0ms	(* (cos y) (cos y))
216.0ms	(cbrt (* (cos y) (cos y)))
105.0ms	(cbrt (cos y))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
3	2082
2	748
1	254
0	108

prune386.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

727.0ms	992×	body	1280	valid
625.0ms	5567×	body	80	valid
468.0ms	209×	body	160	valid
401.0ms	829×	body	640	valid
146.0ms	403×	body	320	valid