Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

415×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.3s)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.7b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
1.7b	(/ (+ b (* (* x 9.0) y)) z)
10.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite178.0ms

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:

17.0ms	(* (* x 9.0) y)
47.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
23.0ms	(/ (+ b (* (* x 9.0) y)) z)
88.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series413.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
169.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
61.0ms	(/ (+ b (* (* x 9.0) y)) z)
161.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1578	1639
done	5000	1631

prune323.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.4b	(/ (* t a) c)
6.3b	(/ b (* z c))
8.3b	(/ (* x y) (* z c))

rewrite61.0ms

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:

28.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ (* t a) c)
7.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series121.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
24.0ms	(/ (* t a) c)
21.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))

simplify756.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (222.0ms)

Iter	Nodes	Cost
0	160	1082
1	402	1049
2	1864	811
done	5000	811

prune290.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
3.1b	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.3b	(/ b (* z c))
8.3b	(/ (* x y) (* z c))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
38×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
32×	`times-frac`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
14×	`cbrt-prod`
13×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt c)
45.0ms	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
8.0ms	(/ b (* z c))
12.0ms	(/ (* x y) (* z c))

series282.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt c)
53.0ms	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
21.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

124 → 124

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	1537
1	606	1478
2	2756	1100
done	5000	1015

prune426.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.2b	(/ t (/ c a))
6.3b	(/ b (* z c))
8.3b	(/ (* x y) (* z c))

rewrite60.0ms

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:

28.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ t (/ c a))
7.0ms	(/ b (* z c))
12.0ms	(/ (* x y) (* z c))

series116.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ t (/ c a))
21.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

simplify893.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	260	1776
1	603	1683
2	2400	1435
done	5001	1435

prune431.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes851.0ms

Accuracy

41.4% (6.2b remaining)

Error of 6.3b against oracle of 0.1b and baseline of 10.7b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	159
1	76	159
done	76	159

end0.0ms

sample1.2s

Algorithm

intervals

Results

552.0ms

12726×

body

valid