Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

29.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify2.8s

Counts

50 → 50

Iterations

Useful iterations: 3 (302.0ms)

Iter	Nodes	Cost
0	78	606
1	175	582
2	454	554
3	1120	547
4	3134	547
done	5002	547

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 178

Calls

2 calls:

39.0ms	(/ 1 (/ (- x y) (+ x y)))
32.0ms	(/ (- x y) (+ x y))

series171.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ 1 (/ (- x y) (+ x y)))
92.0ms	(/ (- x y) (+ x y))

simplify2.6s

Counts

184 → 184

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	209	2998
1	479	2553
2	1104	2296
3	3083	2256
done	5000	2256

prune252.0ms

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	(/ (/ 1 (sqrt (- x y))) (/ (sqrt (- x y)) (+ x y)))
0.1b	(/ 1 (sqrt (- x y)))
0.1b	(/ (sqrt (- x y)) (+ x y))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

3124×	`times-frac`
2165×	`*-un-lft-identity`
1651×	`add-sqr-sqrt`
1250×	`sqrt-prod`
1151×	`add-cube-cbrt`
257×	`distribute-lft-out`
250×	`distribute-lft-out--` `difference-of-squares`
145×	`associate-/r/`
82×	`sqrt-div`
73×	`div-inv`
50×	`associate-/r*`
41×	`flip3--` `flip--` `associate-/l*`
32×	`flip3-+` `flip-+`
31×	`add-exp-log`
19×	`div-exp` `add-cbrt-cube`
10×	`cbrt-undiv`
5×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`sqrt-pow1` `pow1/2` `inv-pow`

Counts

3 → 1353

Calls

3 calls:

72.0ms	(/ (/ 1 (sqrt (- x y))) (/ (sqrt (- x y)) (+ x y)))
17.0ms	(/ 1 (sqrt (- x y)))
24.0ms	(/ (sqrt (- x y)) (+ x y))

series685.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (/ 1 (sqrt (- x y))) (/ (sqrt (- x y)) (+ x y)))
108.0ms	(/ 1 (sqrt (- x y)))
484.0ms	(/ (sqrt (- x y)) (+ x y))

simplify2.3s

Counts

1362 → 1362

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	1171	45402
1	3363	37402
done	5000	36185

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* y y) (* x y))
3.9b	(+ (pow y 3) (pow x 3))
8.2b	(/ (+ (pow y 3) (pow x 3)) (- x y))
33.3b	(/ (/ (+ (pow y 3) (pow x 3)) (- x y)) (+ (* x x) (- (* y y) (* x y))))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

497×	`*-un-lft-identity`
378×	`times-frac`
227×	`add-sqr-sqrt`
135×	`add-cube-cbrt` `distribute-lft-out`
111×	`unpow-prod-down` `cube-prod`
60×	`associate-/l*`
46×	`distribute-lft-out--` `difference-of-squares`
27×	`sum-cubes`
12×	`fma-def` `associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*` `add-log-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`flip3-+` `flip-+` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `cube-mult` `sub-neg` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `prod-diff` `sum-log` `sqr-pow`

Counts

4 → 351

Calls

4 calls:

9.0ms	(- (* y y) (* x y))
33.0ms	(+ (pow y 3) (pow x 3))
125.0ms	(/ (+ (pow y 3) (pow x 3)) (- x y))
196.0ms	(/ (/ (+ (pow y 3) (pow x 3)) (- x y)) (+ (* x x) (- (* y y) (* x y))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* y y) (* x y))
83.0ms	(+ (pow y 3) (pow x 3))
38.0ms	(/ (+ (pow y 3) (pow x 3)) (- x y))
175.0ms	(/ (/ (+ (pow y 3) (pow x 3)) (- x y)) (+ (* x x) (- (* y y) (* x y))))

simplify2.3s

Counts

363 → 363

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	341	11204
1	798	9452
2	2549	9218
done	5001	9217

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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	6	7
done	6	7

end0.0ms

sample500.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid