Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

295×

body

valid

simplify1.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
8.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
56.0ms	(* x (+ (/ x y) 1.0))
46.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series103.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
40.0ms	(* x (+ (/ x y) 1.0))
50.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
2	1870
1	327
0	106

prune310.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

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))

rewrite113.0ms

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-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+` `associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 158

Calls

3 calls:

26.0ms	(+ (/ x y) 1.0)
37.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
35.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
63.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
111.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.3s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	3176
1	568
0	210

prune616.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))

rewrite212.0ms

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` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-flip` `inv-pow`

Counts

4 → 466

Calls

4 calls:

19.0ms	(+ (/ x y) 1.0)
65.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
33.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
54.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

series288.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (/ x y) 1.0)
122.0ms	(/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x)
89.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
63.0ms	(/ 1 (/ (/ (+ x 1.0) (+ (/ x y) 1.0)) x))

simplify1.3s

Counts

478 → 478

Iterations

Iter	Nodes
done	5000
1	1549
0	514

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ x y))
0.0b	(/ 1 (+ x 1.0))
0.1b	(* x (+ 1.0 (/ x y)))
8.5b	(* (/ 1 (+ x 1.0)) (* x (+ 1.0 (/ x y))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
32×	`add-exp-log`
25×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
9×	`distribute-lft-out`
8×	`associate-*r/`
7×	`cbrt-unprod`
6×	`flip3-+` `div-exp` `flip-+` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`associate-/r*` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*l/` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

9.0ms	(+ 1.0 (/ x y))
11.0ms	(/ 1 (+ x 1.0))
34.0ms	(* x (+ 1.0 (/ x y)))
60.0ms	(* (/ 1 (+ x 1.0)) (* x (+ 1.0 (/ x y))))

series122.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (/ x y))
26.0ms	(/ 1 (+ x 1.0))
34.0ms	(* x (+ 1.0 (/ x y)))
49.0ms	(* (/ 1 (+ x 1.0)) (* x (+ 1.0 (/ x y))))

simplify2.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	4285
1	571
0	178

prune511.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample719.0ms

Algorithm

intervals

Results

448.0ms

9148×

body

valid