Details

sample98.0ms

Algorithm

intervals

Results

40.0ms	47×	body	1280	valid
17.0ms	40×	body	640	valid
14.0ms	138×	body	80	valid
7.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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:

44.0ms	(- (* x (cos y)) (* z (sin y)))
19.0ms	(* x (cos y))
20.0ms	(* z (sin y))

series275.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (* x (cos y)) (* z (sin y)))
66.0ms	(* x (cos y))
74.0ms	(* z (sin y))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	82	464
1	185	436
2	577	402
3	2878	402
done	5000	402

prune298.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (cos y))
125.0ms	(cbrt (cos y))
180.0ms	(cbrt (cos y))
202.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune426.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(pow (pow (cos y) 2) 1/3)
54.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(pow (pow (cos y) 2) 1/3)
46.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
41.0ms	(pow (cos y) 2)
138.0ms	(cbrt (cos y))

simplify1.4s

Counts

91 → 91

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	124	906
1	355	751
2	1741	661
done	5000	628

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
1.0b	(* (cbrt 1/3) (cbrt 1/3))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
25×	`add-sqr-sqrt`
22×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`prod-exp`
14×	`pow1`
12×	`associate-r`
10×	`pow-exp`
7×	`pow1/3` `associate-l` `add-cbrt-cube`
6×	`swap-sqr`
4×	`pow-to-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-pow` `pow-plus` `unpow2` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

133.0ms	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
23.0ms	(* (cbrt 1/3) (cbrt 1/3))

series837.0ms

Counts

4 → 10

Calls

4 calls:

692.0ms	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
24.0ms	(pow (cos y) 2)
121.0ms	(cbrt (cos y))
0.0ms	(* (cbrt 1/3) (cbrt 1/3))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	141	1223
1	398	1070
2	2345	930
done	5000	873

prune542.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	20	24
done	20	24

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	1531×	body	1280	valid
1.1s	4296×	body	80	valid
694.0ms	1259×	body	640	valid
222.0ms	584×	body	320	valid
116.0ms	330×	body	160	valid