Details

sample86.0ms

Algorithm

intervals

Results

20.0ms	32×	body	2560	valid
18.0ms	189×	body	80	valid
15.0ms	32×	body	1280	valid
7.0ms	79×	body	80	nan
5.0ms	12×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	1×	body	5120	valid

simplify81.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize37.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.4b	(- (* b_2 b_2) (* a c))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite95.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `distribute-rgt-neg-in`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*` `diff-log`
2×	`sub-neg` `sqrt-div` `associate-/l/`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `neg-log` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

37.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
35.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(- (* b_2 b_2) (* a c))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
83.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
75.0ms	(sqrt (- (* b_2 b_2) (* a c)))
57.0ms	(- (* b_2 b_2) (* a c))

simplify1.1s

Counts: 107 → 107

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize52.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
20.7b	(sqrt (- (* b_2 b_2) (* a c)))
20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`sqrt-div`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `sub-neg` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 67

Calls

4 calls:

Slowest

33.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(sqrt (- (* b_2 b_2) (* a c)))
108.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
86.0ms	(sqrt (- (* b_2 b_2) (* a c)))
79.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.8s

Counts: 79 → 79

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize51.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
20.7b	(sqrt (- (* b_2 b_2) (* a c)))
20.7b	(sqrt (- (* b_2 b_2) (* a c)))
1.7b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`sqrt-prod`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`sqrt-div`
4×	`flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`diff-log` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `neg-sub0` `sub-neg` `distribute-rgt-neg-in` `neg-log`

Counts

4 → 67

Calls

4 calls:

Slowest

21.0ms	(sqrt (- (* b_2 b_2) (* a c)))
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))
14.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
13.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(sqrt (- (* b_2 b_2) (* a c)))
99.0ms	(sqrt (- (* b_2 b_2) (* a c)))
91.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
82.0ms	(sqrt (- (* b_2 b_2) (* a c)))

simplify1.7s

Counts: 79 → 79

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

localize41.0ms

Local error

Found 4 expressions with local error:

20.7b	(sqrt (- (* b_2 b_2) (* a c)))
16.1b	(- (* b_2 b_2) (* b_2 b_2))
10.6b	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
4.1b	(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
146×	`add-sqr-sqrt`
113×	`*-un-lft-identity`
81×	`add-cube-cbrt`
33×	`difference-of-squares`
27×	`associate-/l*`
19×	`sqrt-prod`
17×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r/`
9×	`associate-/r*`
7×	`flip3--` `flip--`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-+l-`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `distribute-rgt-out--` `pow1/2` `+-inverses` `diff-log` `flip-+`

Counts

4 → 194

Calls

4 calls:

Slowest

171.0ms	(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
155.0ms	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(- (* b_2 b_2) (* b_2 b_2))

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(/ (/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
146.0ms	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
71.0ms	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	(- (* b_2 b_2) (* b_2 b_2))

simplify996.0ms

Counts: 206 → 206

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

regimes534.0ms

Accuracy

88.7% (2.9b remaining)

Error of 8.5b against oracle of 5.6b and baseline of 31.2b

bsearch280.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	1073×	body	2560	valid
1.3s	5896×	body	80	valid
507.0ms	896×	body	1280	valid
335.0ms	2896×	body	80	nan
230.0ms	472×	body	640	valid
82.0ms	105×	body	5120	valid
73.0ms	242×	body	320	valid
19.0ms	96×	body	160	valid