Details

sample90.0ms

Algorithm

intervals

Results

28.0ms	48×	body	1280	valid
18.0ms	50×	body	640	valid
15.0ms	21×	body	320	valid
11.0ms	127×	body	80	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

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

29.0ms	(+ (* x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))
12.0ms	(* x (sin y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(+ (* x (sin y)) (* z (cos y)))
46.0ms	(* z (cos y))
66.0ms	(* x (sin y))

simplify3.2s

Counts

56 → 56

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1055	396
4	2739	396
done	5000	396

prune164.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series710.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
163.0ms	(cbrt (cos y))
141.0ms	(cbrt (cos y))
170.0ms	(cbrt (cos y))

simplify6.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.4s)

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

prune350.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

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:

15.0ms	(* x (sin y))
73.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series288.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (sin y))
55.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
162.0ms	(cbrt (cos y))

simplify4.0s

Counts

84 → 84

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	125	759
1	287	658
2	846	582
3	3375	521
done	5001	513

prune371.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

16.0ms	(pow (cos y) 2)
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series460.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (cos y) 2)
19.0ms	(pow (cos y) 2)
147.0ms	(cbrt (cos y))
274.0ms	(cbrt (pow (cos y) 2))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	74	549
1	140	484
2	300	409
3	837	399
done	5001	395

prune368.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes174.0ms

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	14	17
1	18	17
done	18	17

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1495×	body	1280	valid
1.2s	1228×	body	640	valid
529.0ms	4312×	body	80	valid
397.0ms	654×	body	320	valid
70.0ms	311×	body	160	valid