Details

sample66.0ms

Algorithm

intervals

Results

32.0ms

416×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	284	19
4	797	19
5	1842	19
done	5000	17

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.9b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
2.5b	(/ (+ (* (* x 9.0) y) b) z)
8.5b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

rewrite624.0ms

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:

26.0ms	(* (* x 9.0) y)
204.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
57.0ms	(/ (+ (* (* x 9.0) y) b) z)
334.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

series555.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 9.0) y)
227.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
80.0ms	(/ (+ (* (* x 9.0) y) b) z)
218.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1845
1	458	1789
2	2241	1649
done	5000	1647

prune434.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.0b	(/ b (* z c))
4.8b	(/ (* t a) c)
7.0b	(/ (* x y) (* z c))

rewrite75.0ms

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:

31.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(/ b (* z c))
10.0ms	(/ (* t a) c)
17.0ms	(/ (* x y) (* z c))

series160.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(/ b (* z c))
31.0ms	(/ (* t a) c)
35.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	160	1082
1	431	1049
2	2449	827
done	5000	815

prune296.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* z c))
3.0b	(/ b (* z c))
4.8b	(/ (* t a) c)
7.0b	(* (* 9.0 (* x y)) (/ 1 (* z c)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-exp-log`
56×	`prod-exp`
55×	`add-cbrt-cube`
24×	`cbrt-unprod`
20×	`div-exp`
16×	`pow1`
12×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
8×	`rec-exp` `1-exp`
7×	`associate-r` `pow-prod-down` `associate-/l*`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

18.0ms	(/ 1 (* z c))
12.0ms	(/ b (* z c))
13.0ms	(/ (* t a) c)
76.0ms	(* (* 9.0 (* x y)) (/ 1 (* z c)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (* z c))
25.0ms	(/ b (* z c))
29.0ms	(/ (* t a) c)
66.0ms	(* (* 9.0 (* x y)) (/ 1 (* z c)))

simplify2.0s

Counts

133 → 133

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	195	1475
1	576	1319
2	3602	1015
done	5001	991

prune519.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* c z))
3.0b	(* b (/ 1 (* c z)))
4.8b	(/ (* t a) c)
7.0b	(* (* 9.0 (* x y)) (/ 1 (* z c)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-exp-log`
65×	`prod-exp`
59×	`add-cbrt-cube`
27×	`cbrt-unprod`
22×	`div-exp`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv` `times-frac`
10×	`rec-exp` `1-exp`
8×	`pow-prod-down`
4×	`associate-l` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`pow-flip` `frac-2neg` `associate-r/` `clear-num` `un-div-inv` `-commutative`
1×	`inv-pow` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

11.0ms	(/ 1 (* c z))
29.0ms	(* b (/ 1 (* c z)))
13.0ms	(/ (* t a) c)
111.0ms	(* (* 9.0 (* x y)) (/ 1 (* z c)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (* c z))
30.0ms	(* b (/ 1 (* c z)))
30.0ms	(/ (* t a) c)
65.0ms	(* (* 9.0 (* x y)) (/ 1 (* z c)))

simplify2.8s

Counts

144 → 144

Iterations

Useful iterations: 2 (639.0ms)

Iter	Nodes	Cost
0	222	1620
1	687	1430
2	4643	1070
done	5001	1070

prune612.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

regimes1.2s

Accuracy

45.6% (6.1b remaining)

Error of 6.6b against oracle of 0.5b and baseline of 11.7b

bsearch2.0ms

simplify19.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	55	156
1	78	154
2	79	154
done	79	154

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s

12816×

body

valid