Details

sample68.0ms

Algorithm

intervals

Results

47.0ms

389×

body

valid

simplify803.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
5	1433
4	655
3	253
2	89
1	37
0	18

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a))
0.3b	(* (* x 9.0) y)
1.3b	(/ (+ (* (* x 9.0) y) b) z)
10.1b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a)) c)

rewrite404.0ms

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:

107.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a))
13.0ms	(* (* x 9.0) y)
56.0ms	(/ (+ (* (* x 9.0) y) b) z)
226.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a)) c)

series468.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a))
22.0ms	(* (* x 9.0) y)
63.0ms	(/ (+ (* (* x 9.0) y) b) z)
159.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 t) a)) c)

simplify816.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2000
2	1615
1	463
0	186

prune720.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ (* a t) c)
6.0b	(/ b (* z c))
9.5b	(/ (* x y) (* z c))

rewrite53.0ms

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:

20.0ms	(* 9.0 (/ (* x y) (* z c)))
14.0ms	(/ (* a t) c)
6.0ms	(/ b (* z c))
11.0ms	(/ (* x y) (* z c))

series486.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 9.0 (/ (* x y) (* z c)))
41.0ms	(/ (* a t) c)
348.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))

simplify916.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2001
2	1940
1	428
0	164

prune789.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (* a t) c)
5.2b	(/ x (/ (* z c) y))
6.0b	(/ b (* z c))
7.1b	(/ (* z c) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 115

Calls

4 calls:

9.0ms	(/ (* a t) c)
14.0ms	(/ x (/ (* z c) y))
13.0ms	(/ b (* z c))
11.0ms	(/ (* z c) y)

series130.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* a t) c)
41.0ms	(/ x (/ (* z c) y))
33.0ms	(/ b (* z c))
23.0ms	(/ (* z c) y)

simplify452.0ms

Counts

127 → 127

Iterations

Iter	Nodes
done	2000
1	506
0	202

prune902.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (* a t) c)
5.8b	(/ x (/ c y))
6.0b	(/ b (* z c))
6.6b	(* (/ 1 z) (/ x (/ c y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
122×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
92×	`add-cube-cbrt`
58×	`add-exp-log`
44×	`associate-r`
40×	`add-cbrt-cube`
25×	`div-exp`
17×	`associate-/r*`
16×	`cbrt-undiv`
14×	`prod-exp`
13×	`associate-l`
12×	`div-inv`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 212

Calls

4 calls:

9.0ms	(/ (* a t) c)
5.0ms	(/ x (/ c y))
7.0ms	(/ b (* z c))
22.0ms	(* (/ 1 z) (/ x (/ c y)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* a t) c)
22.0ms	(/ x (/ c y))
29.0ms	(/ b (* z c))
34.0ms	(* (/ 1 z) (/ x (/ c y)))

simplify545.0ms

Counts

224 → 224

Iterations

Iter	Nodes
done	2000
1	1050
0	355

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes1.4s

Accuracy

42.7% (6.5b remaining)

Error of 6.5b against oracle of 0.1b and baseline of 11.4b

bsearch313.0ms

Steps

Iters	Range		Point
9	7.713555505063278e-88	9.353530659655818e-79	5.385830162594913e-79
8	-1.8597121943991765e-69	-6.412114842306936e-72	-1.8411746432829907e-69

simplify15.0ms

Iterations

Iter	Nodes
done	61
1	61
0	44

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s

12651×

body

valid