Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify16.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
7.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite71.0ms

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:

28.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
23.0ms	(/ (* x y) 2.0)
18.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
28.0ms	(/ (* x y) 2.0)
73.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify989.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	154	1099
1	383	1030
2	1903	964
done	5000	964

prune229.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b	(/ x (/ 2.0 y))
7.6b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
64×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `distribute-lft-out`
3×	`pow1` `associate-/r/`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out--`

Counts

3 → 118

Calls

3 calls:

86.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
9.0ms	(/ x (/ 2.0 y))
66.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
28.0ms	(/ x (/ 2.0 y))
93.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: 2 (522.0ms)

Iter	Nodes	Cost
0	250	1793
1	627	1678
2	3048	1584
done	5002	1584

prune387.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))
7.6b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite156.0ms

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:

58.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
14.0ms	(/ (* x y) 2.0)
24.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series199.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
21.0ms	(/ (* x y) 2.0)
66.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
73.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify2.0s

Counts

173 → 173

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	260	3088
1	680	2741
2	3832	2603
done	5000	2601

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

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`
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:

58.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
20.0ms	(+ (/ 1.0 y) (* 0.5 x))
41.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
58.0ms	(+ (/ 1.0 y) (* 0.5 x))
79.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify963.0ms

Counts

70 → 70

Iterations

Useful iterations: done (960.0ms)

Iter	Nodes	Cost
0	128	1097
1	312	1010
2	1515	936
done	5001	930

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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	10	11
1	14	11
done	14	11

end0.0ms

sample792.0ms

Algorithm

intervals

Results

506.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid