Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:

40.0ms

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

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

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

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	76	590
1	170	567
2	438	539
3	1031	532
4	2681	532
done	5002	532

prune122.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

132×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
81×	`times-frac`
48×	`add-cube-cbrt`
29×	`associate-r`
28×	`cbrt-prod`
23×	`pow1` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r*`
12×	`cbrt-div` `associate-/l*`
11×	`add-cbrt-cube`
9×	`pow1/3` `pow-prod-up`
8×	`associate-/r/`
6×	`pow-plus` `associate-/l/`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `clear-num` `pow-sqr` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 201

Calls

4 calls:

193.0ms	(* (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))))
34.0ms	(/ (+ x y) (- x y))
37.0ms	(/ (+ x y) (- x y))
48.0ms	(/ (+ x y) (- x y))

series425.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))))
86.0ms	(/ (+ x y) (- x y))
112.0ms	(/ (+ x y) (- x y))
106.0ms	(/ (+ x y) (- x y))

simplify1.8s

Counts

213 → 213

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	156	3401
1	345	3242
2	886	2854
3	1803	2767
done	5000	2764

prune570.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite101.0ms

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:

20.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
28.0ms	(pow (/ (+ x y) (- x y)) 3)
44.0ms	(/ (+ x y) (- x y))

series269.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
79.0ms	(pow (/ (+ x y) (- x y)) 3)
85.0ms	(/ (+ x y) (- x y))

simplify1.1s

Counts

194 → 194

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	175	3344
1	478	2775
2	1520	2557
done	5000	2493

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(cbrt (- x y))
0.5b	(* (cbrt (- x y)) (cbrt (- x y)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

7.0ms	(cbrt (- x y))
8.0ms	(cbrt (- x y))
13.0ms	(cbrt (- x y))
54.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

series782.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- x y))
169.0ms	(cbrt (- x y))
224.0ms	(cbrt (- x y))
191.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

simplify2.5s

Counts

113 → 113

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	618	1223
3	1338	1124
4	3510	1080
done	5001	1032

prune320.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	10	26
done	10	26

end0.0ms

sample484.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid