Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify31.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.8b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite95.0ms

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:

16.0ms	(/ (* x y) 2.0)
52.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
24.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (* x y) 2.0)
52.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
95.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify597.0ms

Counts: 78 → 78

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.3b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
6.6b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`times-frac`
24×	`add-cube-cbrt`
22×	`add-exp-log`
18×	`associate-r`
16×	`add-cbrt-cube`
7×	`pow1` `associate-/r*` `distribute-lft-out`
6×	`div-exp` `add-log-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `associate-/l*`
3×	`associate-l` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `inv-pow`

Counts

4 → 111

Calls

4 calls:

10.0ms	(/ (* x y) 2.0)
6.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
21.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
46.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* x y) 2.0)
52.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
54.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
76.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify943.0ms

Counts: 123 → 123

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
0.4b	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
6.6b	(* y (* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
16.8b	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
56×	`add-cbrt-cube`
42×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity`
31×	`add-cube-cbrt`
28×	`associate-l` `prod-exp`
22×	`cbrt-unprod`
19×	`pow1`
18×	`div-exp`
15×	`cbrt-undiv`
13×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
8×	`difference-of-squares`
7×	`swap-sqr`
6×	`sub-neg` `flip3--` `flip--` `div-inv`
5×	`frac-times` `pow-prod-down`
4×	`associate-/r*` `associate-/r/` `add-log-exp` `unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l/` `-commutative` `associate-/l*`
1×	`pow2` `pow-flip` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--` `inv-pow`

Counts

4 → 178

Calls

4 calls:

42.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
20.0ms	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
79.0ms	(* y (* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
74.0ms	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
57.0ms	(/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
171.0ms	(* y (* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
119.0ms	(* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify530.0ms

Counts: 190 → 190

prune482.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 317

Calls

4 calls:

25.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
57.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
12.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
13.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
83.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
130.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
115.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.2s

Counts: 329 → 329

prune855.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify24.0ms

end0.0ms

sample689.0ms

Algorithm

intervals

Results

444.0ms

8000×

body

valid