Details

sample91.0ms

Algorithm

intervals

Results

30.0ms

408×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	805
3	287
2	93
1	37
0	18

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 9.0) y)
0.5b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
1.8b	(/ (+ (* (* x 9.0) y) b) z)
11.6b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

rewrite479.0ms

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×	`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 → 89

Calls

4 calls:

14.0ms	(* (* x 9.0) y)
133.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
55.0ms	(/ (+ (* (* x 9.0) y) b) z)
274.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

series513.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 9.0) y)
199.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
92.0ms	(/ (+ (* (* x 9.0) y) b) z)
199.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2407
1	459
0	182

prune880.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.5b	(/ b (* z c))
5.7b	(/ (* t a) c)
9.0b	(/ (* x y) (* z c))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

28.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
10.0ms	(/ (* t a) c)
10.0ms	(/ (* x y) (* z c))

series148.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 9.0 (/ (* x y) (* z c)))
33.0ms	(/ b (* z c))
22.0ms	(/ (* t a) c)
32.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2461
1	431
0	160

prune775.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.8b	(/ t (/ c a))
5.5b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

41.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ t (/ c a))
10.0ms	(/ b (* z c))
16.0ms	(/ (* x y) (* z c))

series161.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
36.0ms	(/ t (/ c a))
33.0ms	(/ b (* z c))
48.0ms	(/ (* x y) (* z c))

simplify1.5s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3518
1	686
0	260

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(* t (/ a c))
5.5b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

25.0ms	(* 9.0 (/ (* x y) (* z c)))
16.0ms	(* t (/ a c))
8.0ms	(/ b (* z c))
16.0ms	(/ (* x y) (* z c))

series166.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(* t (/ a c))
34.0ms	(/ b (* z c))
35.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2505
1	488
0	180

prune756.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

15% (8.6b remaining)

Error of 8.8b against oracle of 0.1b and baseline of 10.3b

bsearch1.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	73
1	73
0	55

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s

12826×

body

valid