Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	47×	body	1280	valid
14.0ms	35×	body	640	valid
12.0ms	145×	body	80	valid
7.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite70.0ms

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

39.0ms	(+ (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
20.0ms	(* z (sin y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x (cos y)) (* z (sin y)))
74.0ms	(* x (cos y))
68.0ms	(* z (sin y))

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	81	454
1	194	426
2	639	392
3	3387	392
done	5001	392

prune172.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite26.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series621.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
127.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
116.0ms	(cbrt (cos y))

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

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

prune312.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

81.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(* z (sin y))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
55.0ms	(* z (sin y))
18.0ms	(pow (cos y) 2)
126.0ms	(cbrt (cos y))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	759
1	336	667
2	1525	584
done	5000	566

prune299.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (pow (cos y) 2) 3))
0.3b	(pow (pow (cos y) 2) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
25×	`cbrt-prod`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`cube-prod`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow`
5×	`pow1` `pow-exp` `add-cbrt-cube` `unpow2`
4×	`add-log-exp`
3×	`pow-to-exp`
2×	`cube-mult` `pow-pow` `pow1/3` `unpow3`
1×	`rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 95

Calls

4 calls:

4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
6.0ms	(cbrt (pow (pow (cos y) 2) 3))
7.0ms	(pow (pow (cos y) 2) 3)

series226.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (cos y) 2)
118.0ms	(cbrt (cos y))
31.0ms	(cbrt (pow (pow (cos y) 2) 3))
46.0ms	(pow (pow (cos y) 2) 3)

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	109	1075
1	300	731
2	1565	622
done	5000	602

prune465.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.2s	1446×	body	1280	valid
970.0ms	4423×	body	80	valid
858.0ms	1231×	body	640	valid
257.0ms	589×	body	320	valid
70.0ms	311×	body	160	valid