Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	19	7
3	25	7
4	33	7
5	45	7
6	65	7
7	77	7
8	91	7
9	127	7
10	243	7
11	860	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)

rewrite21.0ms

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:

14.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series46.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* x y) x)

simplify775.0ms

Counts

31 → 31

Iterations

Useful iterations: done (774.0ms)

Iter	Nodes	Cost
0	49	310
1	143	292
2	389	274
3	1271	270
done	5000	268

prune48.0ms

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)))

rewrite38.0ms

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)
6.0ms	(sqrt (+ (* x y) x))
5.0ms	(sqrt (+ (* x y) x))
22.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x y) x)
44.0ms	(sqrt (+ (* x y) x))
40.0ms	(sqrt (+ (* x y) x))
30.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	105	1632
1	214	1149
2	657	1075
3	3258	1018
done	5000	1016

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite40.0ms

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:

24.0ms	(* (* (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))

series292.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (* (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))))
65.0ms	(cbrt (+ x (* x y)))
66.0ms	(cbrt (+ (* x y) x))

simplify673.0ms

Counts

94 → 94

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	240	2390
1	601	2211
2	1995	1980
done	5000	1976

prune344.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

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))

rewrite8.0ms

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))

series272.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (+ x (* x y)))
64.0ms	(cbrt (+ x (* x y)))
71.0ms	(cbrt (+ x (* x y)))
68.0ms	(cbrt (+ (* x y) x))

simplify556.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (177.0ms)

Iter	Nodes	Cost
0	93	1104
1	209	1050
2	523	980
3	1620	832
done	5000	832

prune330.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes59.0ms

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

sample284.0ms

Algorithm

intervals

Results

152.0ms	9140×	body	80	valid
0.0ms	1×	body	1280	valid