Details

sample52.0ms

Algorithm

intervals

Results

10.0ms	164×	body	160	valid
9.0ms	519×	pre	80	true
7.0ms	263×	body	80	nan
4.0ms	43×	body	320	valid
2.0ms	49×	body	80	valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
41.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
65.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
110.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
85.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify976.0ms

Counts

85 → 85

Iterations

Useful iterations: done (973.0ms)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1547	1139
done	5000	1125

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

57.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(* (* 3.0 a) c)
17.0ms	(* 3.0 (* a c))
86.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series381.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
159.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.1s

Counts

169 → 169

Iterations

Useful iterations: 2 (450.0ms)

Iter	Nodes	Cost
0	243	4718
1	603	4240
2	2592	3862
done	5001	3862

prune375.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.3b	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
0.3b	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

161×	`times-frac`
154×	`add-exp-log`
88×	`add-cbrt-cube`
74×	`div-exp`
65×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`prod-exp`
41×	`add-cube-cbrt`
37×	`cbrt-undiv`
31×	`associate-/r*`
26×	`cbrt-unprod`
18×	`associate-/r/`
15×	`pow1`
12×	`div-inv` `distribute-lft-out--` `difference-of-squares`
9×	`rec-exp` `1-exp`
6×	`flip3--` `distribute-rgt-neg-in` `associate-r` `pow-prod-down` `sqrt-prod` `flip--`
4×	`associate-/l*` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 214

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
74.0ms	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
59.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
153.0ms	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
91.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify1.3s

Counts

226 → 226

Iterations

Useful iterations: 2 (519.0ms)

Iter	Nodes	Cost
0	314	7023
1	775	6505
2	3183	5387
done	5001	5387

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 a) 3.0)
0.3b	(* (* 3.0 a) c)
0.3b	(/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b	(/ (/ (* 3.0 a) 3.0) (/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

2183×	`times-frac`
1077×	`add-sqr-sqrt` `*-un-lft-identity`
741×	`add-cube-cbrt`
168×	`distribute-lft-out--` `difference-of-squares`
126×	`div-inv`
116×	`associate-/r*`
84×	`distribute-rgt-neg-in` `sqrt-prod`
66×	`associate-/r/`
55×	`add-exp-log` `add-cbrt-cube`
29×	`cbrt-undiv` `div-exp`
28×	`flip3--` `flip--`
11×	`associate-/l*`
9×	`pow1`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 890

Calls

4 calls:

10.0ms	(/ (* 3.0 a) 3.0)
17.0ms	(* (* 3.0 a) c)
48.0ms	(/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
78.0ms	(/ (/ (* 3.0 a) 3.0) (/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* 3.0 a) 3.0)
20.0ms	(* (* 3.0 a) c)
157.0ms	(/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
157.0ms	(/ (/ (* 3.0 a) 3.0) (/ a (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify1.7s

Counts

902 → 902

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	1175	37690
1	3490	35263
done	5001	34669

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	17	23
done	17	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

302.0ms	4887×	body	160	valid
284.0ms	16163×	pre	80	true
244.0ms	8163×	body	80	nan
119.0ms	1326×	body	320	valid
56.0ms	1787×	body	80	valid