Details

sample102.0ms

Algorithm

intervals

Results

35.0ms	31×	body	1280	valid
22.0ms	181×	body	80	valid
18.0ms	31×	body	640	valid
4.0ms	10×	body	320	valid
1.0ms	3×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

10.0ms	(+ x (sin y))
77.0ms	(+ (+ x (sin y)) (* z (cos y)))
15.0ms	(* z (cos y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (sin y))
73.0ms	(+ (+ x (sin y)) (* z (cos y)))
74.0ms	(* z (cos y))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	4605
2	778
1	205
0	79

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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` `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:

31.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series828.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
181.0ms	(cbrt (cos y))
179.0ms	(cbrt (cos y))
202.0ms	(cbrt (cos y))

simplify818.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune593.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (pow (cos y) 2) 1/3) z)
0.2b	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`prod-exp`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
11×	`add-cbrt-cube`
9×	`associate-r` `pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

26.0ms	(* (pow (pow (cos y) 2) 1/3) z)
33.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)

series446.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (pow (pow (cos y) 2) 1/3) z)
71.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
174.0ms	(cbrt (cos y))
24.0ms	(pow (cos y) 2)

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1767
1	357
0	136

prune698.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (pow (cos y) 2)))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `unpow2` `add-log-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

6.0ms	(cbrt (cbrt (pow (cos y) 2)))
4.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (pow (cos y) 2))

series869.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (cbrt (pow (cos y) 2)))
230.0ms	(cbrt (pow (cos y) 2))
238.0ms	(cbrt (pow (cos y) 2))
244.0ms	(cbrt (pow (cos y) 2))

simplify949.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
3	1627
2	394
1	127
0	67

prune642.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes421.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	994×	body	1280	valid
557.0ms	5559×	body	80	valid
400.0ms	843×	body	640	valid
113.0ms	389×	body	320	valid
113.0ms	215×	body	160	valid