Details

sample76.0ms

Algorithm

intervals

Results

36.0ms

411×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.9b	(/ (+ b (* (* x 9.0) y)) z)
12.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite162.0ms

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:

37.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
13.0ms	(* (* x 9.0) y)
19.0ms	(/ (+ b (* (* x 9.0) y)) z)
90.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series444.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
23.0ms	(* (* x 9.0) y)
64.0ms	(/ (+ b (* (* x 9.0) y)) z)
195.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1559
1	458
0	182

prune881.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
5.2b	(/ b (* z c))
5.4b	(/ (* a t) c)
10.1b	(/ (* x y) (* z c))

rewrite49.0ms

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:

23.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
7.0ms	(/ (* a t) c)
10.0ms	(/ (* x y) (* z c))

series150.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 9.0 (/ (* x y) (* z c)))
32.0ms	(/ b (* z c))
30.0ms	(/ (* a t) c)
38.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1902
1	425
0	160

prune585.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
5.2b	(/ b (* z c))
6.0b	(* a (/ t c))
10.1b	(/ (* x y) (* z c))

rewrite58.0ms

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:

21.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
16.0ms	(* a (/ t c))
10.0ms	(/ (* x y) (* z c))

series160.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 9.0 (/ (* x y) (* z c)))
28.0ms	(/ b (* z c))
28.0ms	(* a (/ t c))
42.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

115 → 115

Iterations

Iter	Nodes
done	5038
2	2057
1	478
0	180

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

5.2b	(/ b (* z c))
5.3b	(/ (* z c) y)
6.0b	(* a (/ t c))
6.9b	(/ x (/ (* z c) y))

rewrite60.0ms

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

Counts

4 → 122

Calls

4 calls:

10.0ms	(/ b (* z c))
13.0ms	(/ (* z c) y)
18.0ms	(* a (/ t c))
13.0ms	(/ x (/ (* z c) y))

series156.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ b (* z c))
31.0ms	(/ (* z c) y)
36.0ms	(* a (/ t c))
64.0ms	(/ x (/ (* z c) y))

simplify1.2s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	2120
1	554
0	217

prune944.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes2.1s

Accuracy

36.1% (6.6b remaining)

Error of 6.7b against oracle of 0.1b and baseline of 10.4b

bsearch233.0ms

Steps

Iters	Range		Point
5	2.684166348774072e+218	6.403867901955642e+218	5.333816498957336e+218
2	2.7117127389286462e-11	3.153533970901808e-11	2.9133496438826006e-11
8	-1.9649893310197203e-11	-6.356509079659228e-16	-5.954233000426847e-13

simplify18.0ms

Iterations

Iter	Nodes
done	72
1	72
0	52

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.8s

12777×

body

valid