Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	19	7
3	26	7
4	34	7
5	46	7
6	74	7
7	93	7
8	108	7
9	146	7
10	403	7
11	1596	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series49.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
34.0ms	(+ (* x y) x)

simplify523.0ms

Counts

31 → 31

Iterations

Useful iterations: done (523.0ms)

Iter	Nodes	Cost
0	49	310
1	143	292
2	410	274
3	1325	270
done	5000	268

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (* x y) x))
0.0b	(sqrt (+ (* x y) x))
0.2b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite41.0ms

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-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) x)
5.0ms	(sqrt (+ (* x y) x))
4.0ms	(sqrt (+ (* x y) x))
26.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x y) x)
41.0ms	(sqrt (+ (* x y) x))
43.0ms	(sqrt (+ (* x y) x))
30.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify3.0s

Counts

110 → 110

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	105	1632
1	220	1151
2	738	1045
3	3535	1006
done	5000	1004

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y)))) (sqrt (cbrt (+ (* x y) x))))
0.2b	(* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y))))
0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ (* x y) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

26.0ms	(* (* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y)))) (sqrt (cbrt (+ (* x y) x))))
9.0ms	(* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y))))
2.0ms	(cbrt (+ x (* x y)))
3.0ms	(cbrt (+ (* x y) x))

series290.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y)))) (sqrt (cbrt (+ (* x y) x))))
46.0ms	(* (fabs (cbrt (+ x (* x y)))) (sqrt (+ x (* x y))))
66.0ms	(cbrt (+ x (* x y)))
66.0ms	(cbrt (+ (* x y) x))

simplify794.0ms

Counts

94 → 94

Iterations

Useful iterations: done (791.0ms)

Iter	Nodes	Cost
0	240	2390
1	606	2218
2	2222	1980
done	5001	1976

prune345.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ x (* x y)))
0.6b	(cbrt (+ (* x y) x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (+ x (* x y)))
2.0ms	(cbrt (+ x (* x y)))
2.0ms	(cbrt (+ x (* x y)))
3.0ms	(cbrt (+ (* x y) x))

series263.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (+ x (* x y)))
68.0ms	(cbrt (+ x (* x y)))
66.0ms	(cbrt (+ x (* x y)))
66.0ms	(cbrt (+ (* x y) x))

simplify646.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (207.0ms)

Iter	Nodes	Cost
0	93	1104
1	209	1050
2	529	980
3	1710	832
done	5001	832

prune344.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

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	5	7
1	8	7
done	8	7

end0.0ms

sample299.0ms

Algorithm

intervals

Results

158.0ms	9140×	body	80	valid
0.0ms	1×	body	1280	valid