Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

268×

body

valid

simplify2.9s

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	101	17
5	182	17
6	363	17
7	911	17
8	3769	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite89.0ms

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:

16.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* y z) x)
57.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
21.0ms	(- (* y z) x)
115.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
56.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify633.0ms

Counts

110 → 110

Iterations

Useful iterations: done (630.0ms)

Iter	Nodes	Cost
0	158	2130
1	400	2046
2	1204	1920
done	5000	1916

prune283.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* y z) x)
6.0ms	(/ 1 (- (* t z) x))
11.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
26.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* y z) x)
24.0ms	(/ 1 (- (* t z) x))
124.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
55.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify702.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	189	2381
1	459	2091
2	1484	1913
done	5001	1913

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

3.0ms	(- (* y z) x)
12.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
93.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.0ms	(/ (- (* t z) x) (- (* y z) x))

series326.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y z) x)
88.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
149.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
62.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify808.0ms

Counts

185 → 185

Iterations

Useful iterations: 2 (271.0ms)

Iter	Nodes	Cost
0	260	4118
1	625	3838
2	1954	3421
done	5000	3421

prune399.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* y z) x))
0.3b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
7.6b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 393

Calls

4 calls:

6.0ms	(/ 1 (- (* y z) x))
6.0ms	(/ 1 (- (* t z) x))
246.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
23.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (- (* y z) x))
31.0ms	(/ 1 (- (* t z) x))
155.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
90.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify1.9s

Counts

405 → 405

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	587	11894
1	1710	9950
2	4280	9038
done	5000	9038

prune555.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.5b

regimes209.0ms

Accuracy

81% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 7.3b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	75
1	30	67
done	30	67

end0.0ms

sample534.0ms

Algorithm

intervals

Results

323.0ms

8332×

body

valid