Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

49.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
23.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
99.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify72.0ms

Counts: 54 → 54

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
3.9b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.4b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `add-cbrt-cube`
39×	`add-sqr-sqrt`
37×	`times-frac`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`associate-l`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
12×	`associate-r`
9×	`difference-of-squares`
7×	`swap-sqr`
6×	`div-inv` `add-log-exp`
5×	`flip3--` `flip--`
4×	`associate-/r*` `associate-/r/`
3×	`frac-times` `sub-neg` `associate-r/` `associate-/l` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--`

Counts

4 → 149

Calls

4 calls:

13.0ms	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
49.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
18.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
113.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
58.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
70.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
163.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify80.0ms

Counts: 161 → 161

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 2.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

15.0ms

(- x (/ 2.0 x))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(- x (/ 2.0 x))

simplify63.0ms

Counts: 18 → 18

prune45.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))
35.8b	(/ (- (pow x 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)) (+ (* (/ y (+ 1.0 (/ (* x y) 2.0))) (+ (/ y (+ 1.0 (/ (* x y) 2.0))) x)) (pow x 2)))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

253×	`add-sqr-sqrt`
167×	`times-frac`
133×	`*-un-lft-identity`
96×	`difference-of-squares`
72×	`unpow-prod-down` `cube-prod`
69×	`add-cube-cbrt`
42×	`associate-/l*`
40×	`sqr-pow`
20×	`distribute-lft-out--`
15×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
8×	`associate-/r/`
4×	`pow1` `difference-cubes` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 251

Calls

4 calls:

24.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
25.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
23.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
423.0ms	(/ (- (pow x 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)) (+ (* (/ y (+ 1.0 (/ (* x y) 2.0))) (+ (/ y (+ 1.0 (/ (* x y) 2.0))) x)) (pow x 2)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
90.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
93.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
506.0ms	(/ (- (pow x 3) (pow (/ y (+ 1.0 (/ (* x y) 2.0))) 3)) (+ (* (/ y (+ 1.0 (/ (* x y) 2.0))) (+ (/ y (+ 1.0 (/ (* x y) 2.0))) x)) (pow x 2)))

simplify123.0ms

Counts: 263 → 263

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample787.0ms

Algorithm

intervals

Results

494.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid