Details

sample113.0ms

Algorithm

intervals

Results

35.0ms	255×	body	80	nan
19.0ms	109×	body	320	valid
16.0ms	511×	pre	80	true
10.0ms	97×	body	160	valid
4.0ms	17×	body	640	valid
2.0ms	33×	body	80	valid

simplify87.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	104
5	104
4	96
3	76
2	41
1	21
0	12

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
26.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
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×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `associate-l` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 73

Calls

4 calls:

6.0ms	(- (* b b) (* (* 3.0 a) c))
80.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms	(* (* 3.0 a) c)
25.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* b b) (* (* 3.0 a) c))
151.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.0ms	(* (* 3.0 a) c)
141.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2584
1	437
0	154

prune464.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

139.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
14.0ms	(* c (* a 3.0))
13.0ms	(* c (* a 3.0))
200.0ms	(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series538.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
33.0ms	(* c (* a 3.0))
34.0ms	(* c (* a 3.0))
219.0ms	(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5002
2	3385
1	653
0	246

prune904.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

214×	`times-frac`
161×	`add-exp-log`
111×	`add-sqr-sqrt` `*-un-lft-identity`
80×	`div-exp`
77×	`add-cbrt-cube`
63×	`add-cube-cbrt`
48×	`associate-/l*`
46×	`prod-exp`
34×	`cbrt-undiv`
24×	`distribute-lft-out--` `difference-of-squares`
20×	`cbrt-unprod`
15×	`div-inv`
13×	`associate-/r*`
12×	`rec-exp` `distribute-rgt-neg-in` `1-exp` `sqrt-prod`
10×	`pow1`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down` `associate-/r/` `associate-/l/`
1×	`flip3--` `div-sub` `associate-l` `*-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 252

Calls

4 calls:

25.0ms	(* (* c a) 3.0)
85.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0)))
112.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0))
94.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0))) (* 3.0 a))

series611.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* c a) 3.0)
266.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0)))
162.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0))
162.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* c a) 3.0)))) (* (* c a) 3.0))) (* 3.0 a))

simplify757.0ms

Counts

264 → 264

Iterations

Iter	Nodes
done	5000
1	1094
0	372

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

89×	`times-frac`
87×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
40×	`add-exp-log`
37×	`add-cube-cbrt`
28×	`add-cbrt-cube` `associate-/l*`
20×	`difference-of-squares`
15×	`pow1`
14×	`div-exp`
10×	`prod-exp` `distribute-lft-out--`
9×	`associate-/r/`
8×	`cbrt-unprod`
7×	`cbrt-undiv` `associate-/r*`
6×	`associate-l` `pow-prod-down`
4×	`div-inv` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `frac-sub` `flip--`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 156

Calls

4 calls:

25.0ms	(* c (* a 3.0))
24.0ms	(* c (* a 3.0))
200.0ms	(/ 1 (- (/ (- b) (* c (* a 3.0))) (/ (/ (sqrt (- (* b b) (* c (* a 3.0)))) (* a c)) 3.0)))
236.0ms	(/ (/ 1 (- (/ (- b) (* c (* a 3.0))) (/ (/ (sqrt (- (* b b) (* c (* a 3.0)))) (* a c)) 3.0))) (* 3.0 a))

series609.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* c (* a 3.0))
36.0ms	(* c (* a 3.0))
284.0ms	(/ 1 (- (/ (- b) (* c (* a 3.0))) (/ (/ (sqrt (- (* b b) (* c (* a 3.0)))) (* a c)) 3.0)))
267.0ms	(/ (/ 1 (- (/ (- b) (* c (* a 3.0))) (/ (/ (sqrt (- (* b b) (* c (* a 3.0)))) (* a c)) 3.0))) (* 3.0 a))

simplify1.5s

Counts

168 → 168

Iterations

Iter	Nodes
done	5001
2	3240
1	678
0	263

prune757.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.1s	16208×	pre	80	true
966.0ms	3672×	body	320	valid
564.0ms	8208×	body	80	nan
543.0ms	2946×	body	160	valid
112.0ms	469×	body	640	valid
58.0ms	913×	body	80	valid