Details

sample140.0ms

Algorithm

intervals

Results

45.0ms	117×	body	320	valid
18.0ms	505×	pre	80	true
18.0ms	249×	body	80	nan
14.0ms	92×	body	160	valid
7.0ms	20×	body	640	valid
2.0ms	27×	body	80	valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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: 53.9b

localize24.0ms

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)
28.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite228.0ms

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:

17.0ms	(- (* b b) (* (* 3.0 a) c))
138.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0ms	(* (* 3.0 a) c)
40.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* b b) (* (* 3.0 a) c))
155.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.0ms	(* (* 3.0 a) c)
110.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1549	1139
done	5001	1125

prune294.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a c) 3.0)
0.2b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.4b	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite391.0ms

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:

37.0ms	(* (* a c) 3.0)
22.0ms	(* 3.0 (* a c))
129.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
194.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

series549.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* a c) 3.0)
22.0ms	(* 3.0 (* a c))
272.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
233.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

simplify2.3s

Counts

169 → 169

Iterations

Useful iterations: 2 (788.0ms)

Iter	Nodes	Cost
0	242	4718
1	605	4240
2	2435	3862
done	5001	3862

prune715.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))))
0.3b	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.4b	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
158×	`add-exp-log`
92×	`add-cbrt-cube`
77×	`div-exp`
74×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`prod-exp`
42×	`add-cube-cbrt`
40×	`cbrt-undiv`
38×	`associate-/r*`
26×	`cbrt-unprod`
20×	`associate-/r/`
16×	`distribute-lft-out--` `difference-of-squares`
13×	`div-inv`
10×	`pow1`
9×	`rec-exp` `1-exp`
8×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`flip3--` `flip--`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num`
1×	`pow-flip` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 229

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
129.0ms	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))))
104.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
127.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 3.0 a) c)
235.0ms	(/ 1 (/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))))
296.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
140.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

simplify2.4s

Counts

241 → 241

Iterations

Useful iterations: 2 (925.0ms)

Iter	Nodes	Cost
0	334	7791
1	840	7244
2	3482	6002
done	5002	6002

prune716.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (pow b 2) (* 3.0 (* a c)))
0.2b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* (* 3.0 a) c) (* 3.0 a))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp` `pow-prod-down` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

4 → 73

Calls

4 calls:

24.0ms	(- (pow b 2) (* 3.0 (* a c)))
18.0ms	(* 3.0 (* a c))
26.0ms	(* (* 3.0 a) c)
40.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

series591.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (pow b 2) (* 3.0 (* a c)))
461.0ms	(* 3.0 (* a c))
34.0ms	(* (* 3.0 a) c)
13.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

simplify2.1s

Counts

85 → 85

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	113	933
1	316	855
2	2018	565
done	5001	564

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	18	17
done	18	17

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.4s	3641×	body	320	valid
733.0ms	8012×	body	80	nan
695.0ms	16012×	pre	80	true
535.0ms	2959×	body	160	valid
145.0ms	504×	body	640	valid
65.0ms	896×	body	80	valid