Details

sample150.0ms

Algorithm

intervals

Results

45.0ms	24×	body	2560	valid
31.0ms	195×	body	80	valid
24.0ms	30×	body	1280	valid
15.0ms	100×	body	80	nan
8.0ms	14×	body	640	valid
4.0ms	10×	body	320	valid
3.0ms	3×	body	5120	valid
1.0ms	2×	body	160	valid

simplify132.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize21.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.6b	(- (* b b) (* (* c a) 4))
0.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `sqrt-prod` `associate-/l*` `difference-of-squares`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `sqrt-div` `diff-log` `div-exp` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 76

Calls

4 calls:

Slowest

84.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
52.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
15.0ms	(sqrt (- (* b b) (* (* c a) 4)))
12.0ms	(- (* b b) (* (* c a) 4))

series453.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
116.0ms	(sqrt (- (* b b) (* (* c a) 4)))
109.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
68.0ms	(- (* b b) (* (* c a) 4))

simplify534.0ms

Counts: 105 → 88

prune858.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.1b

localize37.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.6b	(- (* b b) (* (* c a) 4))
0.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
47×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/r*` `div-exp`
10×	`difference-of-squares`
9×	`associate-/r/`
8×	`sqrt-prod` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`cbrt-undiv` `div-inv` `distribute-lft-out--`
4×	`insert-posit16`
3×	`rec-exp` `1-exp` `prod-exp` `associate-/l*`
2×	`sub-neg` `sqrt-div` `diff-log`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

Slowest

58.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))
49.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))

series498.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

187.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))
131.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
101.0ms	(sqrt (- (* b b) (* (* c a) 4)))
79.0ms	(- (* b b) (* (* c a) 4))

simplify785.0ms

Counts: 179 → 134

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.6b	(- (* b b) (* (* c a) 4))
0.4b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ a 1/2))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
129×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
68×	`add-cube-cbrt`
30×	`difference-of-squares`
18×	`sqrt-prod`
15×	`distribute-lft-out--`
13×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv` `add-log-exp`
6×	`associate-/l*`
5×	`pow1`
4×	`flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `div-exp`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `associate-/r/`

Counts

4 → 161

Calls

4 calls:

Slowest

117.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ a 1/2))
71.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
12.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ a 1/2))
112.0ms	(sqrt (- (* b b) (* (* c a) 4)))
108.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
69.0ms	(- (* b b) (* (* c a) 4))

simplify445.0ms

Counts: 262 → 173

prune2.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.1b

localize31.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (- (* b b) (* (* c a) 4)))
21.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.6b	(- (* b b) (* (* c a) 4))
0.6b	(- (* b b) (* (* c a) 4))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

Slowest

22.0ms	(- (* b b) (* (* c a) 4))
15.0ms	(sqrt (- (* b b) (* (* c a) 4)))
15.0ms	(- (* b b) (* (* c a) 4))
14.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(sqrt (- (* b b) (* (* c a) 4)))
95.0ms	(sqrt (- (* b b) (* (* c a) 4)))
86.0ms	(- (* b b) (* (* c a) 4))
58.0ms	(- (* b b) (* (* c a) 4))

simplify584.0ms

Counts: 80 → 70

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.1b

regimes332.0ms

Accuracy

82.8% (4.8b remaining)

Error of 10.3b against oracle of 5.6b and baseline of 33.3b

bsearch231.0ms

end1.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	889×	body	1280	valid
941.0ms	5843×	body	80	valid
884.0ms	1049×	body	2560	valid
418.0ms	2926×	body	80	nan
320.0ms	490×	body	640	valid
148.0ms	223×	body	320	valid
118.0ms	107×	body	5120	valid
60.0ms	114×	body	160	valid