Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify24.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

9.0ms	(+ 1.0 (/ (* x y) 2.0))
29.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
24.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ 1.0 (/ (* x y) 2.0))
38.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
70.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.6s

Counts: 69 → 69

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.6b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

12.0ms	(+ 1.0 (/ (* x y) 2.0))
58.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
25.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
47.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series241.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ 1.0 (/ (* x y) 2.0))
51.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
83.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
54.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify896.0ms

Counts: 164 → 164

prune336.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
0.0b	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite60.0ms

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`
3×	`associate-/r` `associate-/l` `difference-of-squares`
2×	`flip3-+` `div-exp` `associate-/r/` `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 → 61

Calls

3 calls:

23.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
13.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
23.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series159.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
40.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
61.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify633.0ms

Counts: 70 → 70

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
10.0b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
27×	`cbrt-prod` `associate-r`
23×	`add-cube-cbrt`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1` `distribute-lft-out`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 125

Calls

4 calls:

201.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
10.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
10.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
369.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
365.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
310.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.3s

Counts: 137 → 137

prune529.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify31.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

772.0ms

8000×

body

valid