Details

sample92.0ms

Algorithm

intervals

Results

24.0ms	28×	body	1280	valid
19.0ms	169×	body	80	valid
16.0ms	28×	body	640	valid
7.0ms	18×	body	320	valid
3.0ms	13×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

8.0ms	(+ x (sin y))
14.0ms	(* z (cos y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (sin y))
58.0ms	(* z (cos y))

simplify3.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
5	3656
4	1602
3	654
2	286
1	129
0	56

prune231.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite31.0ms

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` `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 → 73

Calls

4 calls:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series650.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
137.0ms	(cbrt (cos y))
124.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))

simplify2.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune476.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite56.0ms

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` `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 → 87

Calls

4 calls:

15.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
30.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
8.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series303.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
49.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
18.0ms	(* (cos y) (cos y))
99.0ms	(cbrt (cos y))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
3	2818
2	928
1	333
0	127

prune537.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
10.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (cos y))
147.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))
145.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify2.6s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
5	4802
4	1282
3	437
2	165
1	80
0	42

prune329.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

901.0ms	5637×	body	80	valid
662.0ms	936×	body	1280	valid
356.0ms	789×	body	640	valid
183.0ms	431×	body	320	valid
39.0ms	206×	body	160	valid
3.0ms	1×	body	2560	valid