Details

sample121.0ms

Algorithm

intervals

Results

29.0ms	44×	body	320	valid
18.0ms	145×	body	160	valid
17.0ms	278×	body	80	nan
15.0ms	534×	pre	80	true
6.0ms	67×	body	80	valid

simplify100.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize23.0ms

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))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

19.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
95.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
45.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* b b) (* (* 3.0 a) c))
29.0ms	(* (* 3.0 a) c)
163.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
118.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.0s

Counts

105 → 105

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	167	1559
1	440	1478
2	1681	1247
done	5000	1234

prune409.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize51.0ms

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))

rewrite278.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 165

Calls

4 calls:

79.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
38.0ms	(* (* 3.0 a) c)
25.0ms	(* 3.0 (* a c))
127.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series560.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(* (* 3.0 a) c)
22.0ms	(* 3.0 (* a c))
240.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.3s

Counts

177 → 177

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	251	4838
1	622	4351
2	2622	3972
done	5000	3970

prune609.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite387.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 244

Calls

4 calls:

123.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
33.0ms	(* (* 3.0 a) c)
30.0ms	(* (* 3.0 a) c)
178.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

series465.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
35.0ms	(* (* 3.0 a) c)
33.0ms	(* (* 3.0 a) c)
178.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

simplify2.3s

Counts

256 → 256

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	333	7249
1	831	6758
2	2841	5415
done	5001	5413

prune600.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize41.0ms

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

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
56×	`div-exp`
41×	`add-cbrt-cube`
37×	`add-sqr-sqrt` `*-un-lft-identity`
34×	`times-frac`
33×	`prod-exp`
21×	`add-cube-cbrt`
20×	`1-exp`
19×	`cbrt-undiv`
14×	`associate-/l*`
12×	`cbrt-unprod`
9×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
4×	`expm1-log1p-u` `distribute-rgt-neg-in` `associate-/r*` `sqrt-prod` `log1p-expm1-u` `div-inv`
3×	`associate-r` `pow-prod-down` `associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `associate-r/` `associate-l` `prod-diff` `associate-/r/` `-commutative`

Counts

4 → 147

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
124.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
68.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) 1) (* 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
31.0ms	(* (* 3.0 a) c)

series385.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* b b) (* (* 3.0 a) c))
123.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
189.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) 1) (* 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)))
22.0ms	(* (* 3.0 a) c)

simplify1.7s

Counts

159 → 159

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	281	3859
1	645	3054
2	1761	2592
done	5000	2506

prune407.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	17	23
1	22	17
done	22	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.0s	16430×	pre	80	true
786.0ms	4767×	body	160	valid
464.0ms	8430×	body	80	nan
378.0ms	1363×	body	320	valid
109.0ms	1870×	body	80	valid