Details

sample71.0ms

Algorithm

intervals

Results

20.0ms	33×	body	1280	valid
18.0ms	193×	body	80	valid
7.0ms	18×	body	640	valid
3.0ms	10×	body	320	valid
0.0ms	2×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	37	9
4	43	9
5	52	9
6	111	9
7	281	9
8	766	9
9	2120	9
done	5000	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

61.0ms	(- (+ x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))

series140.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (+ x (cos y)) (* z (sin y)))
49.0ms	(* z (sin y))

simplify1.9s

Counts

38 → 38

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	69	365
1	163	346
2	551	320
3	2904	320
done	5001	320

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite15.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series918.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt z) (cbrt z))
198.0ms	(cbrt z)
232.0ms	(cbrt z)
204.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune425.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))
8.7b	(cbrt (* z (sin y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

32.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
165.0ms	(cbrt (* z (sin y)))
171.0ms	(cbrt (* z (sin y)))
173.0ms	(cbrt (* z (sin y)))

simplify748.0ms

Counts

70 → 70

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	87	790
1	213	713
2	863	630
done	5000	565

prune358.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
8.7b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* z (sin y)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt z)
104.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))
134.0ms	(cbrt (* z (sin y)))

simplify662.0ms

Counts

54 → 54

Iterations

Useful iterations: done (660.0ms)

Iter	Nodes	Cost
0	81	362
1	167	345
2	431	310
3	1465	286
done	5000	279

prune350.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

926.0ms	5643×	body	80	valid
725.0ms	959×	body	1280	valid
387.0ms	817×	body	640	valid
141.0ms	384×	body	320	valid
36.0ms	197×	body	160	valid