Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

385×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (637.0ms)

Iter	Nodes	Cost
0	18	19
1	37	19
2	91	19
3	269	19
4	717	19
5	1636	19
6	4169	17
done	5000	17

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
2.4b	(/ (+ b (* (* x 9.0) y)) z)
11.4b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

rewrite85.0ms

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:

6.0ms	(* (* x 9.0) y)
22.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
8.0ms	(/ (+ b (* (* x 9.0) y)) z)
46.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

series376.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
146.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
62.0ms	(/ (+ b (* (* x 9.0) y)) z)
146.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

simplify587.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	182	1845
1	453	1785
2	1753	1639
done	5001	1639

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
6.2b	(/ (* t a) c)
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite25.0ms

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:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ (* t a) c)
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series113.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* t a) c)
24.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

simplify677.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	160	1082
1	429	1049
2	2173	811
done	5000	811

prune314.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
5.7b	(* t (/ a c))
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `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×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(* t (/ a c))
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series110.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(* t (/ a c))
24.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify751.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	180	1173
1	478	1130
2	2386	892
done	5000	892

prune343.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.4b	(* c (/ z y))
5.7b	(* t (/ a c))
7.0b	(/ x (* c (/ z y)))
7.0b	(/ b (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`add-exp-log` `add-cbrt-cube`
26×	`times-frac` `associate-r`
24×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `cbrt-undiv` `div-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`div-inv` `add-log-exp` `unswap-sqr`
3×	`associate-*r/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative`
1×	`associate-/r/`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* c (/ z y))
11.0ms	(* t (/ a c))
5.0ms	(/ x (* c (/ z y)))
3.0ms	(/ b (* z c))

series90.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* c (/ z y))
19.0ms	(* t (/ a c))
29.0ms	(/ x (* c (/ z y)))
20.0ms	(/ b (* z c))

simplify757.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	206	1023
1	511	980
2	2361	834
done	5001	834

prune385.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes978.0ms

Accuracy

68.6% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 10.2b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	195
1	69	195
done	69	195

end0.0ms

sample1.1s

Algorithm

intervals

Results

572.0ms

12652×

body

valid