Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify125.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

62.0ms

(/ (- x y) (- 2.0 (+ x y)))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify1.3s

Counts: 61 → 61

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))
0.6b	(cbrt (- 2.0 (+ x y)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
18×	`cbrt-prod` `cbrt-div`
15×	`add-exp-log` `add-sqr-sqrt`
12×	`pow1`
9×	`add-cube-cbrt` `flip3--` `pow-flip` `pow1/3` `flip--`
8×	`associate-/r/`
7×	`add-cbrt-cube`
6×	`distribute-lft-out--`
4×	`frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `prod-exp` `distribute-lft-out` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 91

Calls

4 calls:

74.0ms	(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
18.0ms	(cbrt (- 2.0 (+ x y)))
13.0ms	(cbrt (- 2.0 (+ x y)))
21.0ms	(cbrt (- 2.0 (+ x y)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y)))))
122.0ms	(cbrt (- 2.0 (+ x y)))
143.0ms	(cbrt (- 2.0 (+ x y)))
107.0ms	(cbrt (- 2.0 (+ x y)))

simplify1.9s

Counts: 103 → 103

prune389.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 2.0 (+ x y)) (+ x y))
3.8b	(- (* x x) (* y y))
28.8b	(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-/r/` `flip--`
7×	`add-cube-cbrt`
6×	`flip3-+` `associate-l` `flip-+`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

89.0ms	(* (- 2.0 (+ x y)) (+ x y))
8.0ms	(- (* x x) (* y y))
60.0ms	(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- 2.0 (+ x y)) (+ x y))
51.0ms	(- (* x x) (* y y))
110.0ms	(/ (- (* x x) (* y y)) (* (- 2.0 (+ x y)) (+ x y)))

simplify1.4s

Counts: 88 → 88

prune288.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite620.0ms

Algorithm

rewrite-expression-head

Rules

421×	`*-un-lft-identity`
384×	`sqrt-prod`
342×	`add-sqr-sqrt`
268×	`times-frac`
108×	`add-cube-cbrt`
102×	`difference-of-squares`
89×	`distribute-lft-out`
86×	`associate-r`
85×	`distribute-lft-out--`
54×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r` `associate-/l`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`flip3--` `sqrt-div` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative`

Counts

4 → 375

Calls

4 calls:

26.0ms	(+ (sqrt 2.0) (sqrt (+ x y)))
74.0ms	(/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y))))
74.0ms	(/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y))))
401.0ms	(* (/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y)))))

series19.2s

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (sqrt 2.0) (sqrt (+ x y)))
2.0s	(/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y))))
2.0s	(/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y))))
15.1s	(* (/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y)))))

simplify1.6s

Counts: 387 → 387

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify96.0ms

end0.0ms

sample638.0ms

Algorithm

intervals

Results

373.0ms	7996×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid