Details

sample569.0ms

Algorithm

intervals

Results

100.0ms	191×	body	80	valid
50.0ms	77×	body	80	nan
34.0ms	29×	body	2560	valid
20.0ms	22×	body	1280	valid
9.0ms	12×	body	640	valid
6.0ms	4×	body	5120	valid
5.0ms	9×	body	320	valid
2.0ms	6×	body	160	valid

simplify173.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize40.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.2b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

117.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
52.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
18.0ms	(sqrt (- (* b_2 b_2) (* a c)))
14.0ms	(- (* b_2 b_2) (* a c))

series461.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
132.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
123.0ms	(sqrt (- (* b_2 b_2) (* a c)))
66.0ms	(- (* b_2 b_2) (* a c))

simplify1.0s

Counts: 100 → 100

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.2b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 166

Calls

4 calls:

Slowest

80.0ms	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
49.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(- (* b_2 b_2) (* a c))

series471.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
119.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
107.0ms	(sqrt (- (* b_2 b_2) (* a c)))
66.0ms	(- (* b_2 b_2) (* a c))

simplify773.0ms

Counts: 178 → 178

prune1.9s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

localize31.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.2b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (* 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

Slowest

66.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
60.0ms	(/ (* 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))
14.0ms	(- (* b_2 b_2) (* a c))

series436.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(/ (* 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
128.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
104.0ms	(sqrt (- (* b_2 b_2) (* a c)))
62.0ms	(- (* b_2 b_2) (* a c))

simplify2.0s

Counts: 82 → 82

prune916.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.7b

localize33.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (- (* b_2 b_2) (* a c)))
21.4b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
1.4b	(- (* b_2 b_2) (* 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_2 b_2) (* a c))
11.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(sqrt (- (* b_2 b_2) (* a c)))
71.0ms	(sqrt (- (* b_2 b_2) (* a c)))
45.0ms	(- (* b_2 b_2) (* a c))
44.0ms	(- (* b_2 b_2) (* a c))

simplify1.2s

Counts: 70 → 70

prune989.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.7b

regimes256.0ms

Accuracy

81.9% (5.0b remaining)

Error of 10.6b against oracle of 5.6b and baseline of 33.0b

bsearch185.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	5847×	body	80	valid
924.0ms	1114×	body	2560	valid
512.0ms	848×	body	1280	valid
427.0ms	2888×	body	80	nan
219.0ms	415×	body	640	valid
132.0ms	124×	body	5120	valid
83.0ms	253×	body	320	valid
28.0ms	129×	body	160	valid