Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify31.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite81.0ms

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:

10.0ms	(/ (* x y) 2.0)
39.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
30.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* x y) 2.0)
40.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
96.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	154	1099
1	353	1030
2	1045	960
3	3993	956
done	5000	956

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 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))
9.0b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite135.0ms

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:

10.0ms	(/ (* x y) 2.0)
42.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
22.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
55.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series237.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* x y) 2.0)
56.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
88.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
63.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.4s

Counts

173 → 173

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	260	3088
1	592	2741
2	1490	2438
done	5000	2410

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)))

rewrite97.0ms

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:

44.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
16.0ms	(+ (/ 1.0 y) (* 0.5 x))
35.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
42.0ms	(+ (/ 1.0 y) (* 0.5 x))
68.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify1.8s

Counts

70 → 70

Iterations

Useful iterations: 3 (741.0ms)

Iter	Nodes	Cost
0	128	1097
1	306	1010
2	791	936
3	2070	930
done	5001	930

prune126.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
5.9b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
5.9b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
85×	`times-frac`
80×	`*-un-lft-identity`
59×	`sqrt-prod`
50×	`add-cube-cbrt`
30×	`add-exp-log`
27×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`distribute-lft-out`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 176

Calls

4 calls:

19.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
128.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (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)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
107.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
143.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
122.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts

188 → 188

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	244	4279
1	659	3783
2	1983	3153
done	5000	3132

prune479.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	14	11
done	14	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

909.0ms

8000×

body

valid