Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
5.4b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`times-frac`
14×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--`

Counts

3 → 69

Calls

3 calls:

44.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
15.0ms	(/ (* x y) 2.0)
24.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
30.0ms	(/ (* x y) 2.0)
78.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify30.0ms

Counts: 78 → 78

prune178.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.4b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

62.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
11.0ms	(/ (* x y) 2.0)
30.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
55.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series202.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
23.0ms	(/ (* x y) 2.0)
61.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
69.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify71.0ms

Counts: 173 → 173

prune446.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))
0.0b	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
0.1b	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1` `associate-*l/` `frac-add` `associate-/r/`
3×	`associate-/r` `associate-/l` `difference-of-squares`
2×	`flip3-+` `associate-*r/` `div-exp` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `flip--` `inv-pow`

Counts

3 → 65

Calls

3 calls:

24.0ms	(+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))
62.0ms	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
33.0ms	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))
35.0ms	(- x (/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y)))))
59.0ms	(/ 1 (+ (* (/ 1.0 2.0) x) (* 1.0 (/ 1 y))))

simplify87.0ms

Counts: 74 → 74

prune200.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify695.0ms

end0.0ms

sample733.0ms

Algorithm

intervals

Results

453.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid