Details

sample37.0ms

Algorithm

intervals

Results

20.0ms

416×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3958
6	896
5	343
4	181
3	100
2	55
1	22
0	11

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (- z x) (/ y (+ z x))))
0.0b	(/ y (+ z x))
0.2b	(/ (- y (/ (- z x) (/ y (+ z x)))) 2.0)
0.3b	(/ (- z x) (/ y (+ z x)))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
184×	`*-un-lft-identity`
175×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
34×	`difference-of-squares`
25×	`associate-/r*`
24×	`distribute-lft-out--`
22×	`distribute-lft-out`
15×	`associate-/r/` `associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
7×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l/`
3×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

4 → 227

Calls

4 calls:

68.0ms	(- y (/ (- z x) (/ y (+ z x))))
17.0ms	(/ y (+ z x))
231.0ms	(/ (- y (/ (- z x) (/ y (+ z x)))) 2.0)
49.0ms	(/ (- z x) (/ y (+ z x)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- y (/ (- z x) (/ y (+ z x))))
28.0ms	(/ y (+ z x))
101.0ms	(/ (- y (/ (- z x) (/ y (+ z x)))) 2.0)
72.0ms	(/ (- z x) (/ y (+ z x)))

simplify564.0ms

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
1	972
0	330

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y 2.0) (/ (/ (- z x) 2.0) (/ y (+ x z))))
0.0b	(/ y (+ x z))
0.3b	(/ (/ (- z x) 2.0) (/ y (+ x z)))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

902×	`times-frac`
591×	`*-un-lft-identity`
498×	`add-sqr-sqrt`
343×	`add-cube-cbrt`
67×	`difference-of-squares`
64×	`distribute-lft-out`
59×	`distribute-lft-out--`
43×	`associate-/r/`
41×	`div-inv`
22×	`associate-/r` `associate-/l`
21×	`flip3-+` `flip-+`
17×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
4×	`div-sub`
3×	`pow1`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate--r-` `associate-/l/`

Counts

3 → 459

Calls

3 calls:

278.0ms	(- (/ y 2.0) (/ (/ (- z x) 2.0) (/ y (+ x z))))
24.0ms	(/ y (+ x z))
61.0ms	(/ (/ (- z x) 2.0) (/ y (+ x z)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (/ y 2.0) (/ (/ (- z x) 2.0) (/ y (+ x z))))
29.0ms	(/ y (+ x z))
105.0ms	(/ (/ (- z x) 2.0) (/ y (+ x z)))

simplify1.1s

Counts

468 → 468

Iterations

Iter	Nodes
done	5002
1	2285
0	670

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y 2.0) (* (/ (- z x) (* y 2.0)) (+ x z)))
0.2b	(* (/ (- z x) (* y 2.0)) (+ x z))
0.3b	(/ (- z x) (* y 2.0))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

33.0ms	(- (/ y 2.0) (* (/ (- z x) (* y 2.0)) (+ x z)))
46.0ms	(* (/ (- z x) (* y 2.0)) (+ x z))
19.0ms	(/ (- z x) (* y 2.0))

series261.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (/ y 2.0) (* (/ (- z x) (* y 2.0)) (+ x z)))
97.0ms	(* (/ (- z x) (* y 2.0)) (+ x z))
65.0ms	(/ (- z x) (* y 2.0))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	3213
1	570
0	178

prune503.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y 2.0) (/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z))))
0.0b	(/ 1 (+ x z))
0.3b	(/ (- z x) (* y 2.0))
0.3b	(/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z)))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

412×	`times-frac`
254×	`*-un-lft-identity`
203×	`add-sqr-sqrt`
133×	`add-cube-cbrt`
52×	`add-exp-log`
34×	`distribute-lft-out`
33×	`div-inv`
32×	`add-cbrt-cube`
30×	`div-exp`
29×	`difference-of-squares`
24×	`distribute-lft-out--`
23×	`associate-/r*` `associate-/r/`
17×	`associate-/l*`
16×	`cbrt-undiv`
11×	`flip3-+` `flip-+`
6×	`add-log-exp`
5×	`pow1` `div-sub` `prod-exp`
4×	`rec-exp` `1-exp`
3×	`clear-num` `frac-2neg` `cbrt-unprod` `associate-/l/`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log` `frac-sub` `pow-flip` `inv-pow` `associate--r-`

Counts

4 → 310

Calls

4 calls:

209.0ms	(- (/ y 2.0) (/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z))))
19.0ms	(/ 1 (+ x z))
35.0ms	(/ (- z x) (* y 2.0))
56.0ms	(/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (/ y 2.0) (/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z))))
53.0ms	(/ 1 (+ x z))
53.0ms	(/ (- z x) (* y 2.0))
93.0ms	(/ (/ (- z x) (* y 2.0)) (/ 1 (+ x z)))

simplify829.0ms

Counts

322 → 322

Iterations

Iter	Nodes
done	5001
1	1420
0	448

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

13676×

body

valid