Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	326×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	23	9
3	29	9
4	31	9
done	31	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

5.0ms	(+ (* x (+ y z)) (* z 5.0))
9.0ms	(* x (+ y z))

series52.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x (+ y z)) (* z 5.0))
25.0ms	(* x (+ y z))

simplify1.6s

Counts

42 → 42

Iterations

Useful iterations: 3 (417.0ms)

Iter	Nodes	Cost
0	72	422
1	209	386
2	708	358
3	2679	356
done	5000	356

prune78.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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-+r+` `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:

12.0ms	(* z (+ x 5.0))
3.0ms	(+ (* x y) (* z (+ x 5.0)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (+ x 5.0))
28.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify1.8s

Counts

42 → 42

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	71	422
1	209	384
2	752	356
3	3077	356
done	5000	356

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.5b	(cbrt (* x (+ y z)))
3.5b	(cbrt (* x (+ y z)))
3.5b	(cbrt (* x (+ y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
3.0ms	(cbrt (* x (+ y z)))
3.0ms	(cbrt (* x (+ y z)))
3.0ms	(cbrt (* x (+ y z)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* x (+ y z))) (cbrt (* x (+ y z))))
105.0ms	(cbrt (* x (+ y z)))
105.0ms	(cbrt (* x (+ y z)))
106.0ms	(cbrt (* x (+ y z)))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	108	1142
1	254	1039
2	685	943
3	1901	867
done	5000	863

prune249.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (+ x 5.0))
2.0ms	(cbrt (+ x 5.0))
2.0ms	(cbrt (+ x 5.0))
19.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 5.0))
90.0ms	(cbrt (+ x 5.0))
90.0ms	(cbrt (+ x 5.0))
107.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (703.0ms)

Iter	Nodes	Cost
0	150	1485
1	330	1358
2	990	1290
3	4003	1148
done	5001	1148

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample431.0ms

Algorithm

intervals

Results

208.0ms	9845×	body	80	valid
12.0ms	115×	body	640	valid
9.0ms	96×	body	1280	valid
4.0ms	72×	body	320	valid
1.0ms	35×	body	160	valid