Details

sample55.0ms

Algorithm

intervals

Results

23.0ms

399×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	284	19
4	797	19
5	1842	19
done	5000	17

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 9.0) y)
0.7b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
2.2b	(/ (+ (* (* x 9.0) y) b) z)
9.4b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

rewrite578.0ms

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:

17.0ms	(* (* x 9.0) y)
155.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
65.0ms	(/ (+ (* (* x 9.0) y) b) z)
338.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

series526.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 9.0) y)
227.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
78.0ms	(/ (+ (* (* x 9.0) y) b) z)
190.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	182	1845
1	458	1789
2	2241	1649
done	5000	1647

prune750.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
5.2b	(/ (* t a) c)
8.6b	(/ (* x y) (* z c))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(/ b (* z c))
15.0ms	(/ (* t a) c)
20.0ms	(/ (* x y) (* z c))

series156.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 9.0 (/ (* x y) (* z c)))
35.0ms	(/ b (* z c))
30.0ms	(/ (* t a) c)
42.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	160	1082
1	431	1049
2	2449	827
done	5000	815

prune869.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* z c) y)
4.6b	(/ x (/ (* z c) y))
4.9b	(/ b (* z c))
5.2b	(/ (* t a) c)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

22.0ms	(/ (* z c) y)
10.0ms	(/ x (/ (* z c) y))
8.0ms	(/ b (* z c))
10.0ms	(/ (* t a) c)

series147.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* z c) y)
50.0ms	(/ x (/ (* z c) y))
23.0ms	(/ b (* z c))
29.0ms	(/ (* t a) c)

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	198	1195
1	503	1156
2	2662	1030
done	5000	1004

prune883.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* z c) y)
4.6b	(/ x (/ (* z c) y))
4.9b	(/ b (* z c))
5.0b	(/ t (/ c a))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

11.0ms	(/ (* z c) y)
12.0ms	(/ x (/ (* z c) y))
13.0ms	(/ b (* z c))
23.0ms	(/ t (/ c a))

series139.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* z c) y)
38.0ms	(/ x (/ (* z c) y))
42.0ms	(/ b (* z c))
36.0ms	(/ t (/ c a))

simplify1.6s

Counts

172 → 172

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	297	1889
1	753	1806
2	3644	1648
done	5002	1632

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

regimes1.9s

Accuracy

72.9% (2.9b remaining)

Error of 3.2b against oracle of 0.2b and baseline of 11.1b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	191
1	76	191
done	76	191

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s

12891×

body

valid