Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

291×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	3876
13	1400
12	529
11	242
10	137
9	133
8	125
7	109
6	78
5	66
4	52
3	41
2	28
1	19
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ 1.0 x))
0.1b	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out`
4×	`pow1` `associate-/r` `flip3-+` `associate-l*` `associate-/r/` `flip-+`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 75

Calls

2 calls:

13.0ms	(/ x (+ 1.0 x))
90.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (+ 1.0 x))
52.0ms	(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	2428
1	378
0	131

prune346.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ (/ x y) 1.0) (/ 1 (/ (+ x 1.0) x)))
0.1b	(/ 1 (/ (+ x 1.0) x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
139×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
53×	`associate-r`
32×	`add-exp-log`
22×	`distribute-lft-out`
16×	`associate-/r*` `add-cbrt-cube`
14×	`div-exp`
9×	`div-inv`
7×	`prod-exp`
6×	`cbrt-undiv`
5×	`pow1` `unswap-sqr`
4×	`rec-exp` `1-exp` `associate-l`
3×	`cbrt-unprod` `associate-/l*`
2×	`frac-times` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 175

Calls

2 calls:

75.0ms	(* (+ (/ x y) 1.0) (/ 1 (/ (+ x 1.0) x)))
17.0ms	(/ 1 (/ (+ x 1.0) x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (+ (/ x y) 1.0) (/ 1 (/ (+ x 1.0) x)))
36.0ms	(/ 1 (/ (+ x 1.0) x))

simplify332.0ms

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
1	751
0	251

prune617.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ x y) 1.0))
0.0b	(sqrt (+ (/ x y) 1.0))
0.1b	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x)))
0.1b	(/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

416×	`times-frac`
357×	`*-un-lft-identity`
229×	`add-sqr-sqrt`
195×	`add-cube-cbrt`
153×	`sqrt-prod`
117×	`associate-r`
81×	`distribute-lft-out`
18×	`add-cbrt-cube` `add-exp-log`
17×	`div-inv`
16×	`associate-/r*`
10×	`sqrt-div` `unswap-sqr`
8×	`pow1`
7×	`associate-l` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 338

Calls

4 calls:

23.0ms	(sqrt (+ (/ x y) 1.0))
19.0ms	(sqrt (+ (/ x y) 1.0))
172.0ms	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x)))
58.0ms	(/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x))

series451.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (+ (/ x y) 1.0))
114.0ms	(sqrt (+ (/ x y) 1.0))
65.0ms	(* (sqrt (+ (/ x y) 1.0)) (/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x)))
161.0ms	(/ (sqrt (+ (/ x y) 1.0)) (/ (+ 1.0 x) x))

simplify575.0ms

Counts

350 → 350

Iterations

Iter	Nodes
done	5000
1	1020
0	352

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.3b	(pow (/ x y) 3)
1.0b	(* x (+ (pow 1.0 3) (pow (/ x y) 3)))
16.5b	(/ (* x (+ (pow 1.0 3) (pow (/ x y) 3))) (* (+ x 1.0) (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y)))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `times-frac`
49×	`add-cube-cbrt`
37×	`associate-*r/`
33×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
23×	`frac-times`
22×	`associate-r`
18×	`frac-add`
17×	`unpow-prod-down` `cube-prod`
16×	`associate-l`
14×	`pow1` `flip3-+` `flip-+`
13×	`swap-sqr`
9×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--`
7×	`div-inv`
5×	`distribute-lft-out` `unswap-sqr`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down` `pow-exp` `*-commutative` `rem-cube-cbrt` `associate-/l/`
1×	`cube-div` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `clear-num` `associate-/r` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-plus` `unpow3` `pow-sqr` `sum-cubes` `pow-prod-up` `associate-/l` `sqr-pow`

Counts

4 → 190

Calls

4 calls:

27.0ms	(* (/ x y) (/ x y))
8.0ms	(pow (/ x y) 3)
170.0ms	(* x (+ (pow 1.0 3) (pow (/ x y) 3)))
95.0ms	(/ (* x (+ (pow 1.0 3) (pow (/ x y) 3))) (* (+ x 1.0) (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (/ x y) (/ x y))
39.0ms	(pow (/ x y) 3)
118.0ms	(* x (+ (pow 1.0 3) (pow (/ x y) 3)))
127.0ms	(/ (* x (+ (pow 1.0 3) (pow (/ x y) 3))) (* (+ x 1.0) (+ (* 1.0 (- 1.0 (/ x y))) (* (/ x y) (/ x y)))))

simplify660.0ms

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
1	1490
0	337

prune854.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample889.0ms

Algorithm

intervals

Results

543.0ms

9153×

body

valid