Details

sample91.0ms

Algorithm

intervals

Results

46.0ms

413×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 6 (3.2s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	282	19
4	684	19
5	1533	19
6	3412	17
done	5001	17

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.2b	(* (* x 9.0) y)
2.2b	(/ (+ b (* (* x 9.0) y)) z)
9.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

58.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
21.0ms	(* (* x 9.0) y)
28.0ms	(/ (+ b (* (* x 9.0) y)) z)
123.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series511.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
23.0ms	(* (* x 9.0) y)
87.0ms	(/ (+ b (* (* x 9.0) y)) z)
204.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1567	1639
done	5000	1631

prune421.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ b (* z c))
6.1b	(/ (* t a) c)
10.7b	(/ (* x y) (* z c))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

32.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
10.0ms	(/ (* t a) c)
13.0ms	(/ (* x y) (* z c))

series129.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
25.0ms	(/ (* t a) c)
36.0ms	(/ (* x y) (* z c))

simplify927.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	160	1082
1	402	1049
2	1858	811
done	5000	811

prune358.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize26.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ b (* z c))
4.5b	(/ (* z c) y)
4.8b	(/ x (/ (* z c) y))
6.1b	(/ (* t a) c)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

15.0ms	(/ b (* z c))
17.0ms	(/ (* z c) y)
16.0ms	(/ x (/ (* z c) y))
16.0ms	(/ (* t a) c)

series124.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ b (* z c))
21.0ms	(/ (* z c) y)
53.0ms	(/ x (/ (* z c) y))
24.0ms	(/ (* t a) c)

simplify1.2s

Counts

123 → 123

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	198	1195
1	443	1152
2	1658	1004
done	5000	998

prune525.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ b (* z c))
4.5b	(/ (* z c) y)
4.8b	(/ x (/ (* z c) y))
5.2b	(/ t (/ c a))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ b (* z c))
28.0ms	(/ (* z c) y)
46.0ms	(/ x (/ (* z c) y))
30.0ms	(/ t (/ c a))

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	297	1889
1	643	1786
2	2207	1628
done	5001	1620

prune771.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.0s

Accuracy

58.7% (4.1b remaining)

Error of 4.3b against oracle of 0.2b and baseline of 10.2b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	226
1	78	226
done	78	226

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s

12806×

body

valid