Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

288×

body

valid

simplify307.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	118
13	118
12	116
11	113
10	107
9	103
8	97
7	92
6	73
5	62
4	47
3	39
2	26
1	19
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.7b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `times-frac` `associate-r/` `associate-r` `associate-/r` `flip-+` `distribute-lft-out`
3×	`associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

32.0ms	(+ (/ x y) 1.0)
112.0ms	(* x (+ (/ x y) 1.0))
66.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series158.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ x y) 1.0)
49.0ms	(* x (+ (/ x y) 1.0))
87.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify2.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
2	1391
1	328
0	107

prune540.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
146×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

64.0ms	(+ (/ x y) 1.0)
87.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
84.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series252.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (/ x y) 1.0)
98.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
131.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify2.6s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	2181
1	564
0	211

prune984.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.2b	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

812×	`times-frac`
622×	`*-un-lft-identity`
344×	`add-sqr-sqrt` `add-cube-cbrt`
139×	`distribute-lft-out`
77×	`associate-/r*`
35×	`associate-/r/`
32×	`add-exp-log`
29×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `div-exp` `flip-+`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 466

Calls

4 calls:

34.0ms	(+ (/ x y) 1.0)
130.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
93.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
126.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series427.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (/ x y) 1.0)
167.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
148.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
88.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify4.6s

Counts

478 → 478

Iterations

Iter	Nodes
done	5000
2	4027
1	1485
0	515

prune2.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
206×	`cbrt-prod`
158×	`times-frac`
103×	`add-sqr-sqrt`
88×	`distribute-lft-out`
79×	`add-cube-cbrt`
45×	`swap-sqr`
25×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 218

Calls

4 calls:

308.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
34.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
35.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
43.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))) (cbrt (/ (+ x 1.0) (+ (/ x y) 1.0))))
287.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
304.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))
354.0ms	(cbrt (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify3.7s

Counts

230 → 230

Iterations

Iter	Nodes
done	5001
3	2735
2	1022
1	436
0	210

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes171.0ms

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	10
1	10
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

739.0ms

9130×

body

valid