Details

sample67.0ms

Algorithm

intervals

Results

36.0ms

389×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize49.0ms

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))
1.5b	(/ (+ b (* (* x 9.0) y)) z)
9.5b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite159.0ms

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:

14.0ms	(* (* x 9.0) y)
38.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
23.0ms	(/ (+ b (* (* x 9.0) y)) z)
83.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series578.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 9.0) y)
267.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
84.0ms	(/ (+ b (* (* x 9.0) y)) z)
191.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1530
1	462
0	186

prune739.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.5b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ (* a t) c)
5.6b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite105.0ms

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×	`insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

47.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
13.0ms	(/ b (* z c))
23.0ms	(/ (* x y) (* z c))

series183.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 9.0 (/ (* x y) (* z c)))
37.0ms	(/ (* a t) c)
41.0ms	(/ b (* z c))
52.0ms	(/ (* x y) (* z c))

simplify1.5s

Counts

108 → 108

Iterations

Iter	Nodes
done	5045
2	1940
1	428
0	164

prune813.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.8b	(* a (/ t c))
5.6b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite59.0ms

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×	`insert-posit16` `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 → 107

Calls

4 calls:

21.0ms	(* 9.0 (/ (* x y) (* z c)))
9.0ms	(* a (/ t c))
8.0ms	(/ b (* z c))
19.0ms	(/ (* x y) (* z c))

series176.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 9.0 (/ (* x y) (* z c)))
32.0ms	(* a (/ t c))
40.0ms	(/ b (* z c))
58.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5079
2	2001
1	483
0	184

prune786.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

4.8b	(* a (/ t c))
5.3b	(/ (* z c) y)
5.6b	(/ b (* z c))
6.8b	(/ x (/ (* z c) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
11×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`unswap-sqr`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative`

Counts

4 → 126

Calls

4 calls:

9.0ms	(* a (/ t c))
9.0ms	(/ (* z c) y)
7.0ms	(/ b (* z c))
14.0ms	(/ x (/ (* z c) y))

series123.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* a (/ t c))
22.0ms	(/ (* z c) y)
27.0ms	(/ b (* z c))
51.0ms	(/ x (/ (* z c) y))

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5046
2	2069
1	557
0	221

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes2.0s

Accuracy

4.1% (9.0b remaining)

Error of 9.0b against oracle of 0.0b and baseline of 9.4b

bsearch241.0ms

Steps

Iters	Range		Point
5	2.1545036567736907e-37	7.890820011983143e-37	2.210437770349525e-37
8	-1.066814732058122e-10	-7.484239095299094e-14	-3.7234362224650237e-13

simplify8.0ms

Iterations

Iter	Nodes
done	58
1	58
0	43

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

12721×

body

valid