Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

300×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	20	7
3	26	7
4	34	7
5	40	7
done	40	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

70.0ms	(+ (+ (* x y) x) y)
16.0ms	(+ (* x y) x)

series62.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x y) x) y)
35.0ms	(+ (* x y) x)

simplify1.5s

Counts

31 → 31

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	49	310
1	143	292
2	451	274
3	1578	270
done	5000	268

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

66.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
11.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))
6.0ms	(cbrt (+ (* x y) x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
79.0ms	(cbrt (+ (* x y) x))
99.0ms	(cbrt (+ (* x y) x))
116.0ms	(cbrt (+ (* x y) x))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	143	1916
1	345	1770
2	900	1628
3	2447	1393
done	5001	1327

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))
0.3b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite118.0ms

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:

16.0ms	(+ (* x y) x)
19.0ms	(sqrt (+ (* x y) x))
18.0ms	(sqrt (+ (* x y) x))
59.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* x y) x)
66.0ms	(sqrt (+ (* x y) x))
61.0ms	(sqrt (+ (* x y) x))
37.0ms	(* (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	213	1149
2	594	1045
3	1784	1006
done	5000	972

prune274.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) x)))
0.4b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(cbrt (sqrt (+ (* x y) x)))
74.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
19.0ms	(cbrt (+ (* x y) x))
12.0ms	(cbrt (+ (* x y) x))

series414.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (sqrt (+ (* x y) x)))
108.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
73.0ms	(cbrt (+ (* x y) x))
108.0ms	(cbrt (+ (* x y) x))

simplify2.4s

Counts

102 → 102

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	190	1985
1	448	1833
2	1142	1689
3	3156	1457
done	5001	1415

prune499.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
done	8	7

end0.0ms

sample710.0ms

Algorithm

intervals

Results

322.0ms	9137×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid