Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

272×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	178	17
6	362	17
7	829	17
8	2007	17
done	5001	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

9.0ms	(- (* t z) x)
79.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
183.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
47.0ms	(/ (- (* y z) x) (- (* t z) x))

series446.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* t z) x)
128.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
200.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
81.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	157	2130
1	398	2046
2	1160	1920
3	3453	1916
done	5000	1916

prune432.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
3.4b	(/ x (- (* t z) x))
3.6b	(/ (- (* t z) x) y)
8.7b	(/ z (/ (- (* t z) x) y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`*-un-lft-identity`
100×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
23×	`associate-/r*`
16×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l/`
5×	`associate-/r/`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3--` `flip--`
2×	`flip3-+` `div-sub` `frac-sub` `flip-+`

Counts

4 → 187

Calls

4 calls:

970.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
28.0ms	(/ x (- (* t z) x))
40.0ms	(/ (- (* t z) x) y)
41.0ms	(/ z (/ (- (* t z) x) y))

series475.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
82.0ms	(/ x (- (* t z) x))
83.0ms	(/ (- (* t z) x) y)
96.0ms	(/ z (/ (- (* t z) x) y))

simplify1.6s

Counts

199 → 199

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	310	4247
1	733	4099
2	2318	3889
done	5000	3881

prune921.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (+ x (/ (/ z (- (* t z) x)) (/ 1 y))) (/ x (- (* t z) x))) (+ x 1.0))
2.9b	(/ (/ z (- (* t z) x)) (/ 1 y))
3.4b	(/ x (- (* t z) x))
7.4b	(/ z (- (* t z) x))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

516×	`times-frac`
284×	`*-un-lft-identity`
268×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
35×	`associate-/r/`
34×	`div-inv`
32×	`add-exp-log`
28×	`associate-/l*`
23×	`associate-/r*`
22×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
13×	`distribute-lft-out`
11×	`cbrt-undiv`
10×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l/`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
2×	`rec-exp` `flip3-+` `1-exp` `frac-sub` `flip-+`
1×	`div-sub`

Counts

4 → 363

Calls

4 calls:

2.3s	(/ (- (+ x (/ (/ z (- (* t z) x)) (/ 1 y))) (/ x (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (/ z (- (* t z) x)) (/ 1 y))
29.0ms	(/ x (- (* t z) x))
30.0ms	(/ z (- (* t z) x))

series408.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (- (+ x (/ (/ z (- (* t z) x)) (/ 1 y))) (/ x (- (* t z) x))) (+ x 1.0))
89.0ms	(/ (/ z (- (* t z) x)) (/ 1 y))
71.0ms	(/ x (- (* t z) x))
40.0ms	(/ z (- (* t z) x))

simplify2.4s

Counts

375 → 375

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	608	9637
1	1649	8331
2	3839	7777
done	5001	7777

prune998.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ (- (* t z) x) y)
8.7b	(/ z (/ (- (* t z) x) y))
8.7b	(/ z (/ (- (* t z) x) y))
8.7b	(/ z (/ (- (* t z) x) y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
138×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`associate-/r*`
21×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/r/`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 240

Calls

4 calls:

24.0ms	(/ (- (* t z) x) y)
16.0ms	(/ z (/ (- (* t z) x) y))
19.0ms	(/ z (/ (- (* t z) x) y))
21.0ms	(/ z (/ (- (* t z) x) y))

series334.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (- (* t z) x) y)
76.0ms	(/ z (/ (- (* t z) x) y))
94.0ms	(/ z (/ (- (* t z) x) y))
83.0ms	(/ z (/ (- (* t z) x) y))

simplify2.4s

Counts

252 → 252

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	171	4368
1	379	4150
2	1229	3930
3	3930	3922
done	5001	3922

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes120.0ms

Accuracy

0% (2.0b remaining)

Error of 2.4b against oracle of 0.4b and baseline of 2.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	21	25
done	21	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

783.0ms

8321×

body

valid