Details

sample54.0ms

Algorithm

intervals

Results

23.0ms

423×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.9s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	282	19
4	684	19
5	1533	19
6	3412	17
done	5001	17

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
2.2b	(/ (+ b (* (* x 9.0) y)) z)
8.7b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(* (* x 9.0) y)
50.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
33.0ms	(/ (+ b (* (* x 9.0) y)) z)
121.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series529.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 9.0) y)
205.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
82.0ms	(/ (+ b (* (* x 9.0) y)) z)
216.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1578	1639
done	5000	1631

prune457.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
2.2b	(/ (+ b (* (* x 9.0) y)) z)
8.8b	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`add-exp-log` `times-frac`
16×	`associate-r` `add-cbrt-cube`
11×	`pow1`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`flip3--` `div-exp` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `rec-exp` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `flip-+`

Counts

4 → 99

Calls

4 calls:

18.0ms	(* (* x 9.0) y)
52.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
34.0ms	(/ (+ b (* (* x 9.0) y)) z)
200.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

series529.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 9.0) y)
207.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
79.0ms	(/ (+ b (* (* x 9.0) y)) z)
213.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	207	2097
1	508	1951
2	1724	1751
done	5000	1743

prune457.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.4b	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
2.2b	(/ (+ b (* (* x 9.0) y)) z)
8.7b	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

4 → 154

Calls

4 calls:

48.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
69.0ms	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
46.0ms	(/ (+ b (* (* x 9.0) y)) z)
55.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

series749.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
378.0ms	(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
72.0ms	(/ (+ b (* (* x 9.0) y)) z)
103.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

simplify1.2s

Counts

166 → 166

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	256	4644
1	575	4358
2	1471	4035
done	5000	3985

prune546.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
0.4b	(/ 1 (/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))))
2.4b	(* (+ b (* (* x 9.0) y)) (/ 1 z))
8.7b	(/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

101×	`times-frac`
71×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
64×	`add-cube-cbrt`
26×	`add-exp-log`
18×	`associate-/r*`
16×	`add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r/`
10×	`div-exp`
7×	`pow1` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv`
4×	`prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `unswap-sqr`
2×	`frac-times` `frac-2neg` `flip3-+` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 165

Calls

4 calls:

31.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
63.0ms	(/ 1 (/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))))
35.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
39.0ms	(/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
324.0ms	(/ 1 (/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))))
93.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
125.0ms	(/ c (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)))

simplify1.3s

Counts

177 → 177

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	278	5236
1	670	4462
2	1903	4101
done	5001	4051

prune663.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.4b

regimes1.3s

Accuracy

82.3% (1.1b remaining)

Error of 7.4b against oracle of 6.3b and baseline of 12.7b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	187
1	57	187
done	57	187

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s

12629×

body

valid