Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
13.0ms	188×	body	80	valid
6.0ms	22×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	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: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ x (sin y))
3.0ms	(* z (cos y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (sin y))
36.0ms	(* z (cos y))

simplify2.6s

Counts

36 → 36

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	56	232
1	126	225
2	236	201
3	371	201
4	681	201
5	1666	201
6	4212	201
done	5000	201

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

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))

series462.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
106.0ms	(cbrt (cos y))

simplify3.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.1s)

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

prune231.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

11.0ms	(* z (pow (pow (cos y) 2) 1/3))
16.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* z (pow (pow (cos y) 2) 1/3))
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify2.2s

Counts

102 → 102

Iterations

Useful iterations: 3 (939.0ms)

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

prune283.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp (log (pow (cos y) 2)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
2.6b	(log (pow (cos y) 2))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`exp-sum`
7×	`add-exp-log`
5×	`pow1`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `rem-log-exp` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `log-pow`
1×	`pow-pow` `pow1/3` `rem-exp-log`

Counts

4 → 68

Calls

4 calls:

2.0ms	(exp (log (pow (cos y) 2)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(log (pow (cos y) 2))

series231.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (log (pow (cos y) 2)))
17.0ms	(pow (cos y) 2)
95.0ms	(cbrt (cos y))
102.0ms	(log (pow (cos y) 2))

simplify774.0ms

Counts

80 → 80

Iterations

Useful iterations: done (772.0ms)

Iter	Nodes	Cost
0	98	635
1	179	521
2	399	447
3	1082	440
done	5000	436

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

418.0ms	994×	body	1280	valid
305.0ms	5657×	body	80	valid
217.0ms	758×	body	640	valid
68.0ms	383×	body	320	valid
25.0ms	208×	body	160	valid