Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

20.0ms

(/ (+ x y) (- x y))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ (+ x y) (- x y))

simplify1.4s

Counts

48 → 48

Iterations

Useful iterations: 3 (181.0ms)

Iter	Nodes	Cost
0	76	590
1	170	567
2	414	539
3	1001	532
4	2500	532
done	5001	532

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b	(pow (/ (+ x y) (- x y)) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

10.0ms	(/ (+ x y) (- x y))
12.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

series227.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ x y) (- x y))
89.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
72.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify801.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	175	3344
1	477	2775
2	1529	2557
done	5001	2557

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(cbrt (/ (+ x y) (- x y)))
0.0b	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 244

Calls

4 calls:

8.0ms	(cbrt (/ (+ x y) (- x y)))
5.0ms	(cbrt (/ (+ x y) (- x y)))
5.0ms	(cbrt (/ (+ x y) (- x y)))
59.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series768.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (/ (+ x y) (- x y)))
211.0ms	(cbrt (/ (+ x y) (- x y)))
211.0ms	(cbrt (/ (+ x y) (- x y)))
138.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify2.2s

Counts

256 → 256

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	183	5350
1	286	4980
2	752	4862
3	1954	4557
4	3539	4547
done	5000	4547

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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	6	7
done	6	7

end0.0ms

sample274.0ms

Algorithm

intervals

Results

152.0ms

8000×

body

valid