Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	24×	body	1280	valid
15.0ms	179×	body	80	valid
13.0ms	36×	body	640	valid
3.0ms	12×	body	320	valid
1.0ms	5×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

7.0ms	(+ x (sin y))
9.0ms	(* z (cos y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (sin y))
59.0ms	(* z (cos y))

simplify3.8s

Counts

38 → 38

Iterations

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

prune233.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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

series692.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))

simplify4.1s

Counts

89 → 89

Iterations

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

prune394.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

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:

34.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
86.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series311.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
42.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
33.0ms	(* (cos y) (cos y))
104.0ms	(cbrt (cos y))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3232
2	955
1	328
0	131

prune510.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
0.2b	(log (exp (cbrt (cos y))))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1`
14×	`log-pow`
13×	`add-cbrt-cube` `associate-r`
12×	`exp-prod`
11×	`prod-exp`
9×	`cbrt-prod` `log-prod`
6×	`cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
2×	`pow-prod-down` `pow-exp` `*-commutative`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `rem-log-exp` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

57.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
4.0ms	(log (exp (cbrt (cos y))))
18.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
114.0ms	(log (exp (cbrt (cos y))))
27.0ms	(* (cos y) (cos y))
135.0ms	(cbrt (cos y))

simplify2.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
3	3918
2	1100
1	375
0	145

prune523.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0.4% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

759.0ms	953×	body	1280	valid
716.0ms	764×	body	640	valid
658.0ms	5673×	body	80	valid
118.0ms	392×	body	320	valid
42.0ms	217×	body	160	valid
1.0ms	1×	body	2560	valid