Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	228×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	6×	body	2560	valid
1.0ms	9×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sum-log` `flip3-+` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

23.0ms

(+ x (/ (- x y) 2.0))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(+ x (/ (- x y) 2.0))

simplify1.9s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune91.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) x)
0.0b	(- (+ (/ x 2.0) x) (/ y 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `times-frac` `flip3--` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

13.0ms	(+ (/ x 2.0) x)
114.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (/ x 2.0) x)
53.0ms	(- (+ (/ x 2.0) x) (/ y 2.0))

simplify924.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5002
3	1958
2	519
1	171
0	70

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ x 2.0))
0.0b	(- (cbrt (pow (+ x (/ x 2.0)) 3)) (/ y 2.0))
0.2b	(pow (+ x (/ x 2.0)) 3)
40.9b	(cbrt (pow (+ x (/ x 2.0)) 3))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity`
10×	`unpow-prod-down` `cube-prod` `add-cube-cbrt` `difference-of-squares`
8×	`add-log-exp`
6×	`cube-div`
5×	`pow1` `times-frac` `add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `frac-sub`
1×	`pow-to-exp` `+-commutative` `sum-log` `sub-neg` `pow-pow` `flip3--` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `flip--` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+ x (/ x 2.0))
195.0ms	(- (cbrt (pow (+ x (/ x 2.0)) 3)) (/ y 2.0))
16.0ms	(pow (+ x (/ x 2.0)) 3)
18.0ms	(cbrt (pow (+ x (/ x 2.0)) 3))

series196.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (/ x 2.0))
42.0ms	(- (cbrt (pow (+ x (/ x 2.0)) 3)) (/ y 2.0))
90.0ms	(pow (+ x (/ x 2.0)) 3)
29.0ms	(cbrt (pow (+ x (/ x 2.0)) 3))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1875
1	363
0	129

prune386.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ x 2.0))
0.0b	(- (/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0))) (/ y 2.0))
13.7b	(- (* x x) (* (/ x 2.0) (/ x 2.0)))
28.8b	(/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0)))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
38×	`times-frac`
24×	`difference-of-squares`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`flip3--` `flip--`
4×	`pow1` `associate-/l*`
3×	`sub-neg` `diff-log`
2×	`div-sub` `associate-/r/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub` `div-inv`

Counts

4 → 100

Calls

4 calls:

10.0ms	(- x (/ x 2.0))
171.0ms	(- (/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0))) (/ y 2.0))
12.0ms	(- (* x x) (* (/ x 2.0) (/ x 2.0)))
64.0ms	(/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (/ x 2.0))
58.0ms	(- (/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0))) (/ y 2.0))
62.0ms	(- (* x x) (* (/ x 2.0) (/ x 2.0)))
18.0ms	(/ (- (* x x) (* (/ x 2.0) (/ x 2.0))) (- x (/ x 2.0)))

simplify1.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	1719
1	428
0	168

prune532.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample684.0ms

Algorithm

intervals

Results

339.0ms	7419×	body	80	valid
30.0ms	202×	body	1280	valid
18.0ms	101×	body	2560	valid
17.0ms	149×	body	640	valid
8.0ms	89×	body	320	valid
3.0ms	46×	body	160	valid