Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	14	7
3	16	7
done	16	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

36.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify508.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	80	616
1	198	588
2	763	560
done	5000	560

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (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))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/l*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/r*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
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 → 285

Calls

4 calls:

133.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
38.0ms	(/ (- x y) (+ x y))
39.0ms	(/ (- x y) (+ x y))
46.0ms	(/ (- x y) (+ x y))

series464.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))
92.0ms	(/ (- x y) (+ x y))
87.0ms	(/ (- x y) (+ x y))
102.0ms	(/ (- x y) (+ x y))

simplify1.3s

Counts

297 → 297

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	207	5452
1	407	5053
2	1780	4909
done	5001	4728

prune893.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.7b	(cbrt (/ (cbrt (- x y)) (+ x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
54×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
32×	`times-frac`
24×	`add-cube-cbrt`
8×	`distribute-lft-out`
7×	`cbrt-div` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`
2×	`associate-/r/`
1×	`flip3-+` `flip-+` `div-inv`

Counts

4 → 100

Calls

4 calls:

5.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
16.0ms	(cbrt (/ (cbrt (- x y)) (+ x y)))

series939.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- x y))
180.0ms	(cbrt (- x y))
209.0ms	(cbrt (- x y))
391.0ms	(cbrt (/ (cbrt (- x y)) (+ x y)))

simplify2.1s

Counts

112 → 112

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	192	1579
1	349	1509
2	815	1467
3	2618	1418
done	5001	1371

prune513.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
4.7b	(- (* x x) (* y y))
28.8b	(/ (- (* x x) (* y y)) (* (+ x y) (+ x y)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`swap-sqr` `distribute-lft-out`
5×	`add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

41.0ms	(* (+ x y) (+ x y))
16.0ms	(- (* x x) (* y y))
55.0ms	(/ (- (* x x) (* y y)) (* (+ x y) (+ x y)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (+ x y) (+ x y))
55.0ms	(- (* x x) (* y y))
138.0ms	(/ (- (* x x) (* y y)) (* (+ x y) (+ x y)))

simplify3.4s

Counts

104 → 104

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	131	1502
1	478	1410
2	4160	1095
done	5000	1092

prune309.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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

sample656.0ms

Algorithm

intervals

Results

349.0ms

8000×

body

valid