Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	35×	body	1280	valid
9.0ms	184×	body	80	valid
4.0ms	17×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4
done	28	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `fma-def`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

7.0ms	(+ x (sin y))
38.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (sin y))
59.0ms	(+ (+ x (sin y)) (* z (cos y)))
39.0ms	(* z (cos y))

simplify69.0ms

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242
done	5001	242

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+ x (fma (cos y) z (sin y)))
0.0ms	(fma (cos y) z (sin y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (fma (cos y) z (sin y)))
57.0ms	(fma (cos y) z (sin y))

simplify35.0ms

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	110	164
1	334	153
2	1389	153
3	5001	153
done	5001	153

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite18.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series724.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt z) (cbrt z))
174.0ms	(cbrt z)
174.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify88.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune277.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* z (sqrt (cos y)))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(sqrt (cos y))
2.0ms	(sqrt (cos y))
10.0ms	(* z (sqrt (cos y)))
27.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (cos y))
15.0ms	(sqrt (cos y))
55.0ms	(* z (sqrt (cos y)))
37.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify74.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	164	390
1	721	346
2	2852	340
3	5002	340
done	5002	340

prune198.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4
done	8	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

421.0ms	1034×	body	1280	valid
279.0ms	5568×	body	80	valid
199.0ms	816×	body	640	valid
67.0ms	388×	body	320	valid
27.0ms	193×	body	160	valid
1.0ms	1×	body	2560	valid