Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	15
0	9

prune4.0ms

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 (+ 1.0 (/ (* x y) 2.0))))
0.0b	(+ 1.0 (/ (* x y) 2.0))
9.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite65.0ms

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-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

37.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms	(+ 1.0 (/ (* x y) 2.0))
17.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
41.0ms	(+ 1.0 (/ (* x y) 2.0))
86.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2849
2	892
1	301
0	126

prune294.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

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

rewrite137.0ms

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` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `distribute-lft-out--` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `associate-/r/` `pow-flip` `flip--` `inv-pow`

Counts

4 → 152

Calls

4 calls:

7.0ms	(+ 1.0 (/ (* x y) 2.0))
58.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
32.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
34.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series237.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ 1.0 (/ (* x y) 2.0))
51.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
69.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
72.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.3s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1705
1	592
0	232

prune610.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))))
4.5b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.5b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite174.0ms

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` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `pow-flip` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 176

Calls

4 calls:

28.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
103.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
16.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
15.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
94.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
175.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
140.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.7s

Counts

188 → 188

Iterations

Iter	Nodes
done	5003
2	2202
1	731
0	244

prune945.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample710.0ms

Algorithm

intervals

Results

420.0ms	7998×	body	80	valid
0.0ms	2×	body	2560	valid