Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) 2.0) 1.0)
0.0b	(- x (/ y (+ (/ (* x y) 2.0) 1.0)))
7.8b	(/ y (+ (/ (* x y) 2.0) 1.0))

rewrite105.0ms

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:

22.0ms	(+ (/ (* x y) 2.0) 1.0)
44.0ms	(- x (/ y (+ (/ (* x y) 2.0) 1.0)))
36.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))

series188.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (/ (* x y) 2.0) 1.0)
45.0ms	(- x (/ y (+ (/ (* x y) 2.0) 1.0)))
97.0ms	(/ y (+ (/ (* x y) 2.0) 1.0))

simplify561.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1159
1	301
0	126

prune330.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (+ (/ y (/ 2.0 x)) 1.0)))
0.0b	(+ (/ y (/ 2.0 x)) 1.0)
0.2b	(/ y (/ 2.0 x))
7.8b	(/ y (+ (/ y (/ 2.0 x)) 1.0))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

91.0ms	(- x (/ y (+ (/ y (/ 2.0 x)) 1.0)))
51.0ms	(+ (/ y (/ 2.0 x)) 1.0)
13.0ms	(/ y (/ 2.0 x))
88.0ms	(/ y (+ (/ y (/ 2.0 x)) 1.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- x (/ y (+ (/ y (/ 2.0 x)) 1.0)))
38.0ms	(+ (/ y (/ 2.0 x)) 1.0)
19.0ms	(/ y (/ 2.0 x))
116.0ms	(/ y (+ (/ y (/ 2.0 x)) 1.0))

simplify1.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	2914
1	634
0	253

prune784.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ y 2.0)) 1.0)
0.0b	(- x (/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y)))
0.1b	(/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y))
7.8b	(/ (+ (* x (/ y 2.0)) 1.0) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
54×	`add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`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 → 135

Calls

4 calls:

8.0ms	(+ (* x (/ y 2.0)) 1.0)
32.0ms	(- x (/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y)))
17.0ms	(/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y))
28.0ms	(/ (+ (* x (/ y 2.0)) 1.0) y)

series278.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (/ y 2.0)) 1.0)
67.0ms	(- x (/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y)))
94.0ms	(/ 1 (/ (+ (* x (/ y 2.0)) 1.0) y))
62.0ms	(/ (+ (* x (/ y 2.0)) 1.0) y)

simplify1.5s

Counts

147 → 147

Iterations

Iter	Nodes
done	5002
2	2863
1	605
0	233

prune556.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ y 2.0)) 1.0)
0.0b	(- x (/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))))
0.1b	(/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y)))
7.9b	(* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
23×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cbrt-cube` `div-exp`
16×	`prod-exp`
14×	`times-frac` `add-cube-cbrt`
13×	`associate-r`
9×	`pow1` `rec-exp` `1-exp`
8×	`add-log-exp`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`associate-l` `div-inv` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `associate-*r/` `un-div-inv` `pow-flip` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `-commutative` `flip--` `inv-pow` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

10.0ms	(+ (* x (/ y 2.0)) 1.0)
15.0ms	(- x (/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))))
52.0ms	(/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y)))
71.0ms	(* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))

series272.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x (/ y 2.0)) 1.0)
63.0ms	(- x (/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))))
89.0ms	(/ 1 (* (+ (* x (/ y 2.0)) 1.0) (/ 1 y)))
70.0ms	(* (+ (* x (/ y 2.0)) 1.0) (/ 1 y))

simplify1.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	2866
1	555
0	198

prune471.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
2	16
1	15
0	11

end0.0ms

sample844.0ms

Algorithm

intervals

Results

539.0ms

8000×

body

valid