Details

sample48.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (464.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	60	17
3	142	17
4	351	17
5	1621	15
done	5001	15

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
0.2b	(/ (/ (* y t) z) 2.0)
4.8b	(/ (* y t) z)
8.3b	(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
106×	`times-frac`
72×	`*-un-lft-identity`
38×	`add-cube-cbrt`
26×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
17×	`associate-/r*`
11×	`associate-/l*`
9×	`distribute-lft-out--`
8×	`cbrt-undiv` `div-exp`
7×	`div-inv`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
1×	`sub-neg` `diff-log` `frac-sub` `associate-/l/`

Counts

4 → 146

Calls

4 calls:

164.0ms	(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
27.0ms	(/ (/ (* y t) z) 2.0)
16.0ms	(/ (* y t) z)
106.0ms	(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- x (/ y (- (/ z 1) (/ (/ (* y t) z) 2.0))))
51.0ms	(/ (/ (* y t) z) 2.0)
50.0ms	(/ (* y t) z)
302.0ms	(/ y (- (/ z 1) (/ (/ (* y t) z) 2.0)))

simplify2.2s

Counts

158 → 158

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	269	2706
1	611	2331
2	2970	2233
done	5000	2227

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
0.2b	(/ (/ y (/ z t)) 2.0)
4.4b	(/ y (/ z t))
8.3b	(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

635×	`times-frac`
442×	`add-sqr-sqrt`
295×	`*-un-lft-identity`
253×	`add-cube-cbrt`
50×	`associate-/l*` `difference-of-squares`
33×	`associate-/r*`
23×	`div-inv`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`distribute-lft-out--`
8×	`associate-/r/`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`sub-neg` `diff-log` `frac-sub` `associate-/l/`

Counts

4 → 367

Calls

4 calls:

598.0ms	(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
47.0ms	(/ (/ y (/ z t)) 2.0)
17.0ms	(/ y (/ z t))
353.0ms	(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- x (/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0))))
51.0ms	(/ (/ y (/ z t)) 2.0)
32.0ms	(/ y (/ z t))
303.0ms	(/ y (- (/ z 1) (/ (/ y (/ z t)) 2.0)))

simplify1.3s

Counts

379 → 379

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	652	7028
1	1583	6323
done	5001	6165

prune3.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize53.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ y (/ z t))
8.3b	(/ y (- z (/ (/ y (/ z t)) 2.0)))
8.3b	(/ y (- z (/ (/ y (/ z t)) 2.0)))
8.3b	(/ y (- z (/ (/ y (/ z t)) 2.0)))

rewrite632.0ms

Algorithm

rewrite-expression-head

Rules

253×	`add-sqr-sqrt`
219×	`times-frac`
109×	`*-un-lft-identity`
85×	`add-cube-cbrt`
48×	`difference-of-squares`
37×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*` `distribute-lft-out--`
8×	`div-inv`
7×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 217

Calls

4 calls:

18.0ms	(/ y (/ z t))
206.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))
192.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))
192.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))

series976.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ y (/ z t))
319.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))
325.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))
294.0ms	(/ y (- z (/ (/ y (/ z t)) 2.0)))

simplify2.5s

Counts

229 → 229

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	238	4000
1	551	3896
2	2355	3716
done	5000	3714

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* y t) z) 2.0)
1.2b	(/ 1 (/ (- z (/ (/ (* y t) z) 2.0)) y))
4.8b	(/ (* y t) z)
7.8b	(/ (- z (/ (/ (* y t) z) 2.0)) y)

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

208×	`times-frac`
176×	`add-sqr-sqrt`
128×	`*-un-lft-identity`
96×	`add-cube-cbrt`
32×	`difference-of-squares`
31×	`add-exp-log` `associate-/r*`
25×	`add-cbrt-cube`
17×	`associate-/l*`
16×	`distribute-lft-out--`
15×	`div-exp`
12×	`div-inv`
11×	`cbrt-undiv`
5×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`rec-exp` `1-exp` `prod-exp` `cbrt-unprod`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `inv-pow`

Counts

4 → 223

Calls

4 calls:

24.0ms	(/ (/ (* y t) z) 2.0)
71.0ms	(/ 1 (/ (- z (/ (/ (* y t) z) 2.0)) y))
20.0ms	(/ (* y t) z)
92.0ms	(/ (- z (/ (/ (* y t) z) 2.0)) y)

series232.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (/ (* y t) z) 2.0)
68.0ms	(/ 1 (/ (- z (/ (/ (* y t) z) 2.0)) y))
33.0ms	(/ (* y t) z)
81.0ms	(/ (- z (/ (/ (* y t) z) 2.0)) y)

simplify2.6s

Counts

235 → 235

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	329	4465
1	865	4075
2	4437	3881
done	5000	3873

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes478.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

940.0ms

8000×

body

valid