Details

sample110.0ms

Algorithm

intervals

Results

34.0ms	44×	body	1280	valid
30.0ms	150×	body	80	valid
18.0ms	38×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite51.0ms

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:

27.0ms	(- (* x (cos y)) (* z (sin y)))
14.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series236.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (* x (cos y)) (* z (sin y)))
51.0ms	(* z (sin y))
59.0ms	(* x (cos y))

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	82	464
1	185	436
2	577	402
3	2973	402
done	5001	402

prune322.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite40.0ms

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:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series749.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
184.0ms	(cbrt (cos y))
168.0ms	(cbrt (cos y))
152.0ms	(cbrt (cos y))

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	687	521
done	5001	507

prune481.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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:

48.0ms	(* x (pow (pow (cos y) 2) 1/3))
58.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series385.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* x (pow (pow (cos y) 2) 1/3))
49.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
33.0ms	(pow (cos y) 2)
170.0ms	(cbrt (cos y))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	133	1081
1	360	898
2	1784	792
done	5001	774

prune600.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`unpow-prod-down`
15×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`unpow2`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 67

Calls

4 calls:

7.0ms	(pow (cos y) 2)
7.0ms	(pow (cos y) 2)
10.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
3.0ms	(cbrt (cos y))

series457.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (cos y) 2)
19.0ms	(pow (cos y) 2)
225.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
179.0ms	(cbrt (cos y))

simplify2.9s

Counts

79 → 79

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	98	668
1	227	596
2	766	513
3	3118	504
done	5000	497

prune565.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes438.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	26
1	23	26
done	23	26

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1474×	body	1280	valid
1.1s	1243×	body	640	valid
585.0ms	4385×	body	80	valid
260.0ms	597×	body	320	valid
122.0ms	301×	body	160	valid