Details

sample58.0ms

Algorithm

intervals

Results

33.0ms

409×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 6 (3.1s)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
3.6b	(/ (+ b (* (* x 9.0) y)) z)
8.2b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite502.0ms

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:

20.0ms	(* (* a 4.0) t)
50.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
317.0ms	(/ (+ b (* (* x 9.0) y)) z)
111.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series525.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* a 4.0) t)
215.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
90.0ms	(/ (+ b (* (* x 9.0) y)) z)
198.0ms	(/ (- (/ (+ 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	180	1845
1	437	1775
2	1443	1639
done	5000	1631

prune357.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
5.4b	(/ (* t a) c)
9.5b	(/ (* x y) (* z c))

rewrite93.0ms

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:

30.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(/ b (* z c))
16.0ms	(/ (* t a) c)
30.0ms	(/ (* x y) (* z c))

series164.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(/ b (* z c))
25.0ms	(/ (* t a) c)
41.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: 2 (334.0ms)

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

prune423.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
5.5b	(/ t (/ c a))
9.5b	(/ (* x y) (* z c))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

46.0ms	(* 9.0 (/ (* x y) (* z c)))
14.0ms	(/ b (* z c))
25.0ms	(/ t (/ c a))
22.0ms	(/ (* x y) (* z c))

series189.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
34.0ms	(/ b (* z c))
36.0ms	(/ t (/ c a))
53.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

153 → 153

Iterations

Useful iterations: 2 (475.0ms)

Iter	Nodes	Cost
0	260	1776
1	603	1683
2	2408	1435
done	5000	1435

prune614.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ b (* z c))
5.5b	(/ t (/ c a))
5.8b	(/ x (/ (* z c) y))
6.1b	(/ (* z c) y)

rewrite49.0ms

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:

8.0ms	(/ b (* z c))
9.0ms	(/ t (/ c a))
10.0ms	(/ x (/ (* z c) y))
16.0ms	(/ (* z c) y)

series140.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ b (* z c))
30.0ms	(/ t (/ c a))
51.0ms	(/ x (/ (* z c) y))
29.0ms	(/ (* z c) y)

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	297	1889
1	643	1786
2	2203	1628
done	5000	1620

prune831.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

Accuracy

55.4% (4.9b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 11.0b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	152
1	73	152
done	73	152

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s

12722×

body

valid