Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	326×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

27.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series64.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ y z))
35.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify825.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	1000	358
done	5001	358

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+ (* x y) (* z (+ x 5.0)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(+ (* x y) (* z (+ x 5.0)))

simplify2.8s

Counts

16 → 16

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	36	228
1	118	211
2	548	193
3	4470	193
done	5000	193

prune41.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite31.0ms

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:

24.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

347.0ms	(* (cbrt x) (cbrt x))
212.0ms	(cbrt x)
253.0ms	(cbrt x)
214.0ms	(cbrt x)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

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

prune269.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z (+ x 5.0)))
0.1b	(sqrt (+ (* x y) (* z (+ x 5.0))))
0.1b	(sqrt (+ (* x y) (* z (+ x 5.0))))
0.2b	(* (sqrt (+ (* x y) (* z (+ x 5.0)))) (sqrt (+ (* x y) (* z (+ x 5.0)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+r+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

13.0ms	(+ (* x y) (* z (+ x 5.0)))
8.0ms	(sqrt (+ (* x y) (* z (+ x 5.0))))
8.0ms	(sqrt (+ (* x y) (* z (+ x 5.0))))
55.0ms	(* (sqrt (+ (* x y) (* z (+ x 5.0)))) (sqrt (+ (* x y) (* z (+ x 5.0)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z (+ x 5.0)))
138.0ms	(sqrt (+ (* x y) (* z (+ x 5.0))))
139.0ms	(sqrt (+ (* x y) (* z (+ x 5.0))))
47.0ms	(* (sqrt (+ (* x y) (* z (+ x 5.0)))) (sqrt (+ (* x y) (* z (+ x 5.0)))))

simplify1.3s

Counts

112 → 112

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	120	2556
1	307	1845
2	1453	1693
done	5000	1654

prune281.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample843.0ms

Algorithm

intervals

Results

444.0ms	9748×	body	80	valid
14.0ms	105×	body	1280	valid
14.0ms	115×	body	640	valid
5.0ms	66×	body	320	valid
2.0ms	32×	body	160	valid