Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

334×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	10	5
3	12	5
done	12	5

prune4.0ms

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 y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`

Counts

1 → 21

Calls

1 calls:

6.0ms

(- x (* y y))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(- x (* y y))

simplify3.3s

Counts

24 → 24

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	42	213
1	111	207
2	471	180
3	4230	175
done	5000	175

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
30×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`swap-sqr` `associate-r` `associate-l` `difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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:

51.0ms	(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
3.0ms	(cbrt (- x (* y y)))
3.0ms	(cbrt (- x (* y y)))
3.0ms	(cbrt (- x (* y y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

438.0ms	(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
349.0ms	(cbrt (- x (* y y)))
426.0ms	(cbrt (- x (* y y)))
373.0ms	(cbrt (- x (* y y)))

simplify921.0ms

Counts

113 → 113

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	140	1775
1	329	1642
2	1269	1485
done	5000	1402

prune622.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* y y))) (* 1 (cbrt (fma y (- y) x))))
0.5b	(cbrt (fma y (- y) x))
0.5b	(cbrt (- x (* y y)))
0.5b	(cbrt (- x (* y y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-exp-log`
9×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`cbrt-div` `add-cbrt-cube`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `pow-prod-down` `flip--` `cbrt-unprod` `difference-of-squares`
2×	`associate-*l/`
1×	`1-exp` `associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

33.0ms	(* (cbrt (- x (* y y))) (* 1 (cbrt (fma y (- y) x))))
1.0ms	(cbrt (fma y (- y) x))
3.0ms	(cbrt (- x (* y y)))
9.0ms	(cbrt (- x (* y y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (cbrt (- x (* y y))) (* 1 (cbrt (fma y (- y) x))))
162.0ms	(cbrt (fma y (- y) x))
377.0ms	(cbrt (- x (* y y)))
304.0ms	(cbrt (- x (* y y)))

simplify860.0ms

Counts

84 → 84

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	164	1172
1	392	1079
2	1465	979
done	5001	940

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (sqrt x) y)
0.0b	(- (sqrt x) y)
0.2b	(* (+ (sqrt x) y) (- (sqrt x) y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
45×	`add-cube-cbrt`
35×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-log-exp`
6×	`fma-def` `fma-neg` `associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`frac-times` `flip3--` `flip3-+` `associate-l` `flip--` `flip-+` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `associate-l/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 133

Calls

3 calls:

11.0ms	(+ (sqrt x) y)
11.0ms	(- (sqrt x) y)
97.0ms	(* (+ (sqrt x) y) (- (sqrt x) y))

series215.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (sqrt x) y)
42.0ms	(- (sqrt x) y)
118.0ms	(* (+ (sqrt x) y) (- (sqrt x) y))

simplify2.0s

Counts

142 → 142

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	185	2637
1	583	2047
2	3528	1662
done	5000	1658

prune256.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes127.0ms

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	4	5
done	4	5

end0.0ms

sample644.0ms

Algorithm

intervals

Results

276.0ms

10613×

body

valid