Details

sample61.0ms

Algorithm

intervals

Results

33.0ms

378×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	4882
5	1433
4	655
3	253
2	89
1	37
0	18

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
1.8b	(/ (+ b (* (* x 9.0) y)) z)
8.9b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`insert-posit16` `associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 93

Calls

4 calls:

25.0ms	(* (* x 9.0) y)
68.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
32.0ms	(/ (+ b (* (* x 9.0) y)) z)
123.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series524.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 9.0) y)
192.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
87.0ms	(/ (+ b (* (* x 9.0) y)) z)
218.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1530
1	462
0	186

prune619.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (* x y))
0.5b	(- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a))
1.8b	(/ (+ b (* 9.0 (* x y))) z)
8.9b	(/ (- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a)) c)

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`insert-posit16` `associate-/l/`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-r` `*-commutative` `flip-+`

Counts

4 → 93

Calls

4 calls:

20.0ms	(* 9.0 (* x y))
68.0ms	(- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a))
32.0ms	(/ (+ b (* 9.0 (* x y))) z)
114.0ms	(/ (- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a)) c)

series508.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 9.0 (* x y))
204.0ms	(- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a))
85.0ms	(/ (+ b (* 9.0 (* x y))) z)
195.0ms	(/ (- (/ (+ b (* 9.0 (* x y))) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1451
1	446
0	182

prune738.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
1.8b	(/ (+ b (* (* x 9.0) y)) z)
8.9b	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 158

Calls

4 calls:

89.0ms	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))
62.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
28.0ms	(/ (+ b (* (* x 9.0) y)) z)
62.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))
209.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
65.0ms	(/ (+ b (* (* x 9.0) y)) z)
117.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

simplify1.7s

Counts

170 → 170

Iterations

Iter	Nodes
done	5004
2	2016
1	648
0	260

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.7b	(/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))
1.8b	(/ (+ b (* (* x 9.0) y)) z)
8.4b	(/ (/ 1 c) (/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
230×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`add-exp-log`
35×	`div-exp`
33×	`div-inv`
31×	`associate-/r/`
21×	`associate-/r*`
20×	`add-cbrt-cube`
19×	`associate-/l*`
16×	`flip3--` `flip--`
10×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
6×	`add-log-exp`
5×	`pow1`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 333

Calls

4 calls:

60.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
70.0ms	(/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))
29.0ms	(/ (+ b (* (* x 9.0) y)) z)
95.0ms	(/ (/ 1 c) (/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
56.0ms	(/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))
90.0ms	(/ (+ b (* (* x 9.0) y)) z)
356.0ms	(/ (/ 1 c) (/ 1 (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))))

simplify2.6s

Counts

345 → 345

Iterations

Iter	Nodes
done	5001
2	3540
1	1563
0	533

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

regimes1.4s

Accuracy

74.4% (1.6b remaining)

Error of 8.0b against oracle of 6.4b and baseline of 12.7b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	62
1	62
0	47

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.8s

12844×

body

valid