Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify167.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	18	9
2	47	9
3	102	9
4	150	9
5	168	9
6	181	9
7	185	9
done	185	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize10.0ms

Local error

Found 1 expressions with local error:

14.8b

(/ (- x y) (* (* x 2.0) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/l*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r*` `flip--` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

31.0ms

(/ (- x y) (* (* x 2.0) y))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(/ (- x y) (* (* x 2.0) y))

simplify3.0s

Counts

33 → 33

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	82	447
1	230	433
2	894	353
3	4809	351
done	5001	351

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `times-frac`
4×	`difference-of-squares`
3×	`add-log-exp`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 19

Calls

1 calls:

58.0ms

(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))

simplify3.8s

Counts

22 → 22

Iterations

Useful iterations: 3 (347.0ms)

Iter	Nodes	Cost
0	60	412
1	144	393
2	362	357
3	1178	351
4	3855	351
done	5002	351

prune56.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))
0.5b	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
0.5b	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
0.5b	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))

rewrite563.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
79×	`cbrt-prod`
59×	`*-un-lft-identity`
35×	`times-frac`
33×	`cbrt-div`
28×	`difference-of-squares`
22×	`distribute-lft-out--`
18×	`swap-sqr`
15×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--` `div-inv`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

434.0ms	(* (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))
45.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
35.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
41.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))

series2.0s

Counts

4 → 12

Calls

4 calls:

556.0ms	(* (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))
485.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
495.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
471.0ms	(cbrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))

simplify2.0s

Counts

151 → 151

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	200	4501
1	388	4228
2	951	3967
3	2340	3545
done	5001	3435

prune630.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))
0.1b	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
0.1b	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
0.2b	(* (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))

rewrite759.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
72×	`sqrt-prod`
58×	`*-un-lft-identity`
35×	`times-frac`
30×	`sqrt-div`
28×	`difference-of-squares`
22×	`distribute-lft-out--`
21×	`pow1`
20×	`swap-sqr`
14×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
11×	`flip3--` `frac-sub` `flip--` `div-inv`
10×	`sqrt-pow1` `pow1/2`
9×	`frac-times`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`unswap-sqr`
3×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 151

Calls

4 calls:

99.0ms	(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))
98.0ms	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
140.0ms	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
407.0ms	(* (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))
231.0ms	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
170.0ms	(sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0))))
44.0ms	(* (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))) (sqrt (- (/ (/ 1 2.0) y) (/ 1 (* x 2.0)))))

simplify2.4s

Counts

163 → 163

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	192	4608
1	379	3405
2	1012	3141
3	2908	3014
done	5001	2972

prune541.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes77.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample729.0ms

Algorithm

intervals

Results

431.0ms

8001×

body

valid