Details

sample88.0ms

Algorithm

intervals

Results

35.0ms	52×	body	1280	valid
13.0ms	145×	body	80	valid
13.0ms	32×	body	640	valid
7.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

11.0ms	(+ (* x (sin y)) (* z (cos y)))
10.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series207.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(+ (* x (sin y)) (* z (cos y)))
64.0ms	(* x (sin y))
47.0ms	(* z (cos y))

simplify2.4s

Counts

56 → 56

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	82	458
1	196	430
2	634	396
3	3406	396
done	5001	396

prune200.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite35.0ms

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:

3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series627.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
117.0ms	(cbrt (cos y))
270.0ms	(* (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

prune440.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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:

24.0ms	(* z (pow (pow (cos y) 2) 1/3))
85.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series389.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* z (pow (pow (cos y) 2) 1/3))
58.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
177.0ms	(cbrt (cos y))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

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

prune502.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

4.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series442.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (cos y) 2)
32.0ms	(pow (cos y) 2)
149.0ms	(cbrt (cos y))
239.0ms	(cbrt (pow (cos y) 2))

simplify2.3s

Counts

75 → 75

Iterations

Useful iterations: 3 (814.0ms)

Iter	Nodes	Cost
0	74	549
1	177	484
2	618	409
3	2548	399
done	5000	399

prune329.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	25
1	23	25
done	23	25

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	1474×	body	1280	valid
1.1s	4306×	body	80	valid
691.0ms	1280×	body	640	valid
249.0ms	625×	body	320	valid
140.0ms	315×	body	160	valid