Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
9.0ms	168×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
done	19	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
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:

7.0ms	(+ x (sin y))
15.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series116.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (sin y))
43.0ms	(+ (+ x (sin y)) (* z (cos y)))
41.0ms	(* z (cos y))

simplify964.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	78	455
1	197	424
2	502	398
3	1476	398
done	5001	398

prune134.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

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

series523.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
113.0ms	(cbrt (cos y))
119.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	355	521
3	1333	499
4	4814	492
done	5000	492

prune281.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series303.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* z (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
20.0ms	(pow (cos y) 2)
127.0ms	(cbrt (cos y))

simplify2.8s

Counts

102 → 102

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	133	1081
1	313	889
2	918	795
3	3874	730
done	5001	730

prune332.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
11×	`prod-exp` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1` `cbrt-prod` `log-prod`
5×	`pow-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

2.0ms	(log (exp (cbrt (cos y))))
22.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series292.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(log (exp (cbrt (cos y))))
44.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
19.0ms	(pow (cos y) 2)
116.0ms	(cbrt (cos y))

simplify3.0s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	132	1108
1	301	881
2	965	776
3	4359	706
done	5000	706

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	23	25
done	23	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

419.0ms	971×	body	1280	valid
299.0ms	5549×	body	80	valid
242.0ms	873×	body	640	valid
71.0ms	406×	body	320	valid
25.0ms	201×	body	160	valid