Details

sample43.0ms

Algorithm

intervals

Results

8.0ms	40×	body	2560	valid
7.0ms	187×	body	80	valid
4.0ms	23×	body	1280	valid
3.0ms	86×	body	80	nan
2.0ms	16×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	2×	body	5120	valid
0.0ms	5×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	90	16
5	98	16
done	98	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.8b	(- (* b b) (* (* 3.0 a) c))
1.3b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
21.1b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 72

Calls

4 calls:

37.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
3.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
48.0ms	(- (* b b) (* (* 3.0 a) c))
79.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
71.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify466.0ms

Counts

84 → 84

Iterations

Useful iterations: done (463.0ms)

Iter	Nodes	Cost
0	154	1592
1	387	1490
2	1310	1334
done	5000	1326

prune235.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) (* 3.0 a))
0.8b	(- (pow b 2) (* 3.0 (* a c)))
1.3b	(- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b)
21.1b	(sqrt (- (pow b 2) (* 3.0 (* a c))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 72

Calls

4 calls:

76.0ms	(/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) (* 3.0 a))
7.0ms	(- (pow b 2) (* 3.0 (* a c)))
39.0ms	(- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b)
11.0ms	(sqrt (- (pow b 2) (* 3.0 (* a c))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b) (* 3.0 a))
43.0ms	(- (pow b 2) (* 3.0 (* a c)))
80.0ms	(- (sqrt (- (pow b 2) (* 3.0 (* a c)))) b)
71.0ms	(sqrt (- (pow b 2) (* 3.0 (* a c))))

simplify387.0ms

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	152	1592
1	381	1482
2	1236	1338