Details

sample41.0ms

Algorithm

intervals

Results

7.0ms	34×	body	2560	valid
7.0ms	196×	body	80	valid
5.0ms	32×	body	1280	valid
4.0ms	111×	body	80	nan
1.0ms	13×	body	320	valid
1.0ms	7×	body	640	valid
1.0ms	2×	body	5120	valid
0.0ms	3×	body	160	valid

simplify27.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.6b	(- (* b_2 b_2) (* a c))
1.2b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
8×	`sqrt-prod`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `distribute-rgt-neg-in`
4×	`flip3--` `flip--`
3×	`diff-log` `associate-/r*`
2×	`sub-neg` `sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

57.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
7.0ms	(- (* b_2 b_2) (* a c))
36.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
8.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
33.0ms	(- (* b_2 b_2) (* a c))
70.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
61.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify427.0ms

Counts: 103 → 103

prune223.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
3.2b	(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
8.7b	(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
23.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
150×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
81×	`add-cube-cbrt`
34×	`difference-of-squares`
27×	`associate-/l*`
20×	`sqrt-prod`
17×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
9×	`associate-/r*`
7×	`flip3--` `flip--`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`frac-2neg` `sqrt-div` `clear-num`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `flip-+`

Counts

4 → 187

Calls

4 calls:

39.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
87.0ms	(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
52.0ms	(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
13.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
153.0ms	(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
184.0ms	(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
62.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify984.0ms

Counts: 199 → 199

prune448.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
2.1b	(/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
3.2b	(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))) a)
23.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
123×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
32×	`add-exp-log`
26×	`difference-of-squares`
25×	`associate-/r*`
23×	`add-cbrt-cube`
16×	`div-exp` `sqrt-prod`
13×	`distribute-lft-out--`
10×	`cbrt-undiv`
6×	`prod-exp` `div-inv` `add-log-exp`
5×	`pow1`
4×	`associate-/l*`
3×	`1-exp` `cbrt-unprod`
2×	`flip3--` `frac-2neg` `sqrt-div` `clear-num` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `associate-*r/` `associate-/r/` `associate-/l/`

Counts

4 → 165

Calls

4 calls:

40.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
38.0ms	(/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
37.0ms	(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))) a)
8.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
167.0ms	(/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
133.0ms	(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))) a)
62.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify896.0ms

Counts: 177 → 177

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
0.6b	(- (* b_2 b_2) (* a c))
0.6b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
23.7b	(sqrt (- (* b_2 b_2) (* a c)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/r*`
16×	`sqrt-prod`
15×	`add-exp-log`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`div-exp`
6×	`pow1`
5×	`div-inv`
3×	`cbrt-undiv` `flip3--` `flip--` `associate-/l*`
2×	`sub-neg` `rec-exp` `sqrt-div` `diff-log` `1-exp`
1×	`rem-sqrt-square` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r/` `inv-pow`

Counts

4 → 154

Calls

4 calls:

41.0ms	(/ 1 (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
7.0ms	(- (* b_2 b_2) (* a c))
38.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
13.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ 1 (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c))
33.0ms	(- (* b_2 b_2) (* a c))
71.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
62.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify679.0ms

Counts: 166 → 166

prune275.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.9b

regimes175.0ms

bsearch138.0ms

Steps

Iters	Range		Point
9	1.2233118428759713e-33	3.057073162550245e-28	3.0217206771227585e-28
9	1.463344249519041e-298	1.1223678975466905e-291	4.781609721827391e-298
8	-1.967027894857281e+59	-1.0622106186949144e+55	-1.4263842099952174e+57

Details

sample41.0ms

simplify27.0ms

prune2.0ms

localize10.0ms

rewrite111.0ms

series247.0ms

simplify427.0ms

prune223.0ms

localize12.0ms

rewrite199.0ms

series467.0ms

simplify984.0ms

prune448.0ms

localize13.0ms

rewrite131.0ms

series434.0ms

simplify896.0ms

prune377.0ms

localize12.0ms

rewrite106.0ms

series263.0ms

simplify679.0ms

prune275.0ms

regimes175.0ms

bsearch138.0ms

simplify407.0ms