Details

sample98.0ms

Algorithm

intervals

Results

24.0ms	44×	body	2560	valid
17.0ms	11×	body	640	valid
17.0ms	179×	body	80	valid
14.0ms	31×	body	1280	valid
9.0ms	92×	body	80	nan
2.0ms	3×	body	5120	valid
1.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify144.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize46.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))

rewrite189.0ms

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

94.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
56.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
22.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms	(- (* b b) (* (* 4 a) c))

series479.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) (* 2 a))
139.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
129.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
67.0ms	(- (* b b) (* (* 4 a) c))

simplify1.6s

Counts: 88 → 88

prune955.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize26.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.2b	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

Slowest

152.0ms	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
39.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
7.0ms	(- (* b b) (* (* 4 a) c))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1/2 a))
101.0ms	(- (sqrt (- (* b b) (* (* 4 a) c))) b)
93.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
83.0ms	(- (* b b) (* (* 4 a) c))

simplify2.1s

Counts: 97 → 97

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

localize58.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite39.0ms

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

12.0ms	(- (* b b) (* (* 4 a) c))
10.0ms	(- (* b b) (* (* 4 a) c))
9.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
80.0ms	(- (* b b) (* (* 4 a) c))
75.0ms	(- (* b b) (* (* 4 a) c))

simplify621.0ms

Counts: 70 → 70

prune889.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.7b

localize50.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
8.1b	(- (/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a)) (/ b (* 2 a)))
1.4b	(- (* b b) (* (* 4 a) c))
0.1b	(/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

Slowest

63.0ms	(- (/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a)) (/ b (* 2 a)))
28.0ms	(/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a))
14.0ms	(- (* b b) (* (* 4 a) c))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a))
147.0ms	(- (/ (sqrt (- (* b b) (* (* 4 a) c))) (* 2 a)) (/ b (* 2 a)))
100.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
78.0ms	(- (* b b) (* (* 4 a) c))

simplify1.5s

Counts: 90 → 90

prune915.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.7b

regimes536.0ms

Accuracy

84.9% (4.2b remaining)

Error of 10.0b against oracle of 5.8b and baseline of 33.8b

bsearch216.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.2s	5828×	body	80	valid
942.0ms	1094×	body	2560	valid
921.0ms	903×	body	1280	valid
395.0ms	2909×	body	80	nan
242.0ms	466×	body	640	valid
102.0ms	122×	body	5120	valid
77.0ms	234×	body	320	valid
23.0ms	99×	body	160	valid