Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	15	11
2	22	11
3	25	11
4	26	11
done	26	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.4b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite81.0ms

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:

53.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
25.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
88.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify605.0ms

Counts

54 → 54

Iterations

Useful iterations: done (603.0ms)

Iter	Nodes	Cost
0	116	913
1	277	865
2	1093	811
done	5001	807

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.6b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
5.7b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

7.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
17.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
56.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series157.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
54.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
66.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1583
1	427	1409
2	2168	1210
done	5001	1204

prune194.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
98×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv` `associate-/l*`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `associate-/r/` `flip--` `flip-+` `inv-pow`

Counts

3 → 140

Calls

3 calls:

67.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
41.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series203.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
88.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
77.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.6s

Counts

149 → 149

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	222	2902
1	572	2566
2	2966	2448
done	5000	2265

prune264.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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:

40.0ms	(- x (/ 1 (+ (* 0.5 x) (/ 1.0 y))))
12.0ms	(+ (* 0.5 x) (/ 1.0 y))
40.0ms	(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- x (/ 1 (+ (* 0.5 x) (/ 1.0 y))))
46.0ms	(+ (* 0.5 x) (/ 1.0 y))
54.0ms	(/ 1 (+ (* 0.5 x) (/ 1.0 y)))

simplify933.0ms

Counts

70 → 70

Iterations

Useful iterations: done (930.0ms)

Iter	Nodes	Cost
0	128	1097
1	312	1010
2	1495	936
done	5001	930

prune157.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample665.0ms

Algorithm

intervals

Results

418.0ms

8000×

body

valid