Details

sample77.0ms

Algorithm

intervals

Results

55.0ms

427×

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
2.7b	(/ (+ b (* (* x 9.0) y)) z)
8.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite187.0ms

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:

21.0ms	(* (* x 9.0) y)
34.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
31.0ms	(/ (+ b (* (* x 9.0) y)) z)
99.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series588.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 9.0) y)
218.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
104.0ms	(/ (+ b (* (* x 9.0) y)) z)
234.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1530
1	462
0	186

prune647.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
2.7b	(/ (+ b (* (* x 9.0) y)) z)
8.0b	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-exp-log`
16×	`add-cbrt-cube` `associate-r`
11×	`pow1`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`associate-l` `pow-prod-down` `insert-posit16`
3×	`associate-/r` `flip3--` `div-exp` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-*r/` `un-div-inv` `flip-+`

Counts

4 → 103

Calls

4 calls:

14.0ms	(* (* x 9.0) y)
36.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
23.0ms	(/ (+ b (* (* x 9.0) y)) z)
506.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

series545.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 9.0) y)
214.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
71.0ms	(/ (+ b (* (* x 9.0) y)) z)
228.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	1705
1	538
0	211

prune734.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a))
0.3b	(/ 1 (/ z (+ b (* (* x 9.0) y))))
2.8b	(/ z (+ b (* (* x 9.0) y)))
8.0b	(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a)) c)

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv` `flip3-+` `flip-+`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

63.0ms	(- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a))
9.0ms	(/ 1 (/ z (+ b (* (* x 9.0) y))))
7.0ms	(/ z (+ b (* (* x 9.0) y)))
100.0ms	(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a)) c)

series697.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a))
90.0ms	(/ 1 (/ z (+ b (* (* x 9.0) y))))
82.0ms	(/ z (+ b (* (* x 9.0) y)))
324.0ms	(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* t 4.0) a)) c)

simplify1.8s

Counts

171 → 171

Iterations

Iter	Nodes
done	5010
2	2206
1	690
0	268

prune996.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
2.8b	(* (+ b (* (* x 9.0) y)) (/ 1 z))
8.0b	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-exp-log`
16×	`add-cbrt-cube` `associate-r`
11×	`pow1`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`associate-l` `pow-prod-down` `insert-posit16`
3×	`associate-/r` `div-exp` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `flip3-+` `flip3--` `associate-l/` `-commutative` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `div-sub` `associate-*r/` `un-div-inv`

Counts

4 → 104

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
17.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
25.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
42.0ms	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

series611.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 9.0) y)
233.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
98.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
245.0ms	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	1994
1	578
0	216

prune729.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.4b

regimes1.6s

Accuracy

65.8% (2.2b remaining)

Error of 8.0b against oracle of 5.8b and baseline of 12.3b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	68
1	68
0	49

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s

12662×

body

valid