Details

sample96.0ms

Algorithm

intervals

Results

34.0ms	49×	body	1280	valid
18.0ms	35×	body	640	valid
16.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

24.0ms	(- (* x (cos y)) (* z (sin y)))
48.0ms	(* z (sin y))
17.0ms	(* x (cos y))

series237.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- (* x (cos y)) (* z (sin y)))
80.0ms	(* z (sin y))
47.0ms	(* x (cos y))

simplify2.4s

Counts

57 → 57

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	82	464
1	175	436
2	392	402
3	938	402
4	2100	402
done	5000	402

prune264.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite39.0ms

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:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series690.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
154.0ms	(cbrt (cos y))
140.0ms	(cbrt (cos y))
186.0ms	(cbrt (cos y))

simplify5.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.1s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune452.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

59.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
4.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series544.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
35.0ms	(pow (cos y) 2)
291.0ms	(cbrt (pow (cos y) 2))
153.0ms	(cbrt (cos y))

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	104	709
1	227	653
2	702	559
3	3068	539
done	5000	533

prune359.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (pow (cos y) 2)))
0.3b	(cbrt (pow (pow (cos y) 2) 2/3))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

16.0ms	(cbrt (cbrt (pow (cos y) 2)))
10.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series878.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (cbrt (pow (cos y) 2)))
215.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
299.0ms	(cbrt (pow (cos y) 2))
192.0ms	(cbrt (cos y))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (280.0ms)

Iter	Nodes	Cost
0	123	811
1	218	730
2	407	627
3	992	615
done	5001	615

prune500.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	16	16
done	16	16

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	1438×	body	1280	valid
811.0ms	4334×	body	80	valid
807.0ms	630×	body	320	valid
661.0ms	1297×	body	640	valid
59.0ms	301×	body	160	valid