Details

sample128.0ms

Algorithm

intervals

Results

43.0ms	278×	body	80	nan
21.0ms	145×	body	160	valid
17.0ms	534×	pre	80	true
9.0ms	44×	body	320	valid
5.0ms	67×	body	80	valid

simplify83.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.9b

localize25.0ms

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))
39.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite159.0ms

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:

13.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
95.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
166.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
110.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts

85 → 85

Iterations

Useful iterations: done (2.1s)

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

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize37.0ms

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))
0.4b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite286.0ms

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:

94.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
23.0ms	(* 3.0 (* a c))
140.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series544.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms	(* (* 3.0 a) c)
25.0ms	(* 3.0 (* a c))
213.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.6s

Counts

169 → 169

Iterations

Useful iterations: 2 (669.0ms)

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

prune619.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.4b	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

207×	`times-frac`
157×	`add-exp-log`
102×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`div-exp`
73×	`add-cbrt-cube`
62×	`add-cube-cbrt`
46×	`prod-exp`
41×	`associate-/l*`
31×	`cbrt-undiv`
20×	`cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
15×	`pow1`
14×	`div-inv`
12×	`rec-exp` `1-exp` `associate-/r*`
10×	`distribute-rgt-neg-in` `sqrt-prod`
6×	`associate-r` `pow-prod-down`
4×	`add-log-exp`
3×	`associate-/r/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 236

Calls

4 calls:

99.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
19.0ms	(* (* 3.0 a) c)
28.0ms	(* (* 3.0 a) c)
140.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

series470.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
36.0ms	(* (* 3.0 a) c)
34.0ms	(* (* 3.0 a) c)
187.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

simplify1.8s

Counts

248 → 248

Iterations

Useful iterations: 2 (741.0ms)

Iter	Nodes	Cost
0	327	7129
1	818	6638
2	2775	5311
done	5000	5311

prune544.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.1b	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
0.3b	(/ (/ 1 1) (* 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
0.3b	(* (* 3.0 a) c)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
70×	`div-exp`
52×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`1-exp`
32×	`add-cbrt-cube`
31×	`add-cube-cbrt` `prod-exp`
20×	`associate-/l*`
12×	`cbrt-undiv`
10×	`rec-exp`
9×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`distribute-rgt-neg-in` `associate-/r*` `sqrt-prod` `div-inv`
3×	`associate-r` `pow-prod-down` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `div-sub` `associate-r/` `associate-l` `associate-/r/` `-commutative`

Counts

4 → 156

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
96.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
68.0ms	(/ (/ 1 1) (* 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
34.0ms	(* (* 3.0 a) c)

series419.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* b b) (* (* 3.0 a) c))
149.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
176.0ms	(/ (/ 1 1) (* 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
26.0ms	(* (* 3.0 a) c)

simplify1.8s

Counts

168 → 168

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	293	3769
1	628	3176
2	1649	2786
done	5000	2686

prune419.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	15	19
1	20	17
done	20	15

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.0s	16430×	pre	80	true
754.0ms	4767×	body	160	valid
650.0ms	8430×	body	80	nan
440.0ms	1363×	body	320	valid
121.0ms	1870×	body	80	valid