Details

sample122.0ms

Algorithm

intervals

Results

30.0ms	44×	body	2560	valid
22.0ms	175×	body	80	valid
19.0ms	32×	body	1280	valid
15.0ms	96×	body	80	nan
8.0ms	17×	body	640	valid
7.0ms	7×	body	5120	valid
3.0ms	7×	body	320	valid

simplify142.0ms

Counts: 1 → 1

prune394.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize29.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.8b	(- (* b b) (* (* c a) 4))
0.6b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))

rewrite129.0ms

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

62.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
49.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
10.0ms	(- (* b b) (* (* c a) 4))
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
118.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
106.0ms	(sqrt (- (* b b) (* (* c a) 4)))
65.0ms	(- (* b b) (* (* c a) 4))

simplify1.9s

Counts: 88 → 88

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize46.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.8b	(- (* b b) (* (* c a) 4))
0.6b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))

rewrite114.0ms

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

60.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))
32.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
11.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))

series414.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(/ 1 (/ (* 2 a) (- (sqrt (- (* b b) (* (* c a) 4))) b)))
102.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
90.0ms	(sqrt (- (* b b) (* (* c a) 4)))
48.0ms	(- (* b b) (* (* c a) 4))

simplify566.0ms

Counts: 134 → 134

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize52.0ms

Local error

Found 4 expressions with local error:

22.9b	(sqrt (- (* b b) (* (* c a) 4)))
0.8b	(- (* b b) (* (* c a) 4))
0.6b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b	(* (/ 1 (* 2 a)) (- (sqrt (- (* b b) (* (* c a) 4))) b))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

131.0ms	(* (/ 1 (* 2 a)) (- (sqrt (- (* b b) (* (* c a) 4))) b))
47.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms	(sqrt (- (* b b) (* (* c a) 4)))
7.0ms	(- (* b b) (* (* c a) 4))

series428.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(* (/ 1 (* 2 a)) (- (sqrt (- (* b b) (* (* c a) 4))) b))
101.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
89.0ms	(sqrt (- (* b b) (* (* c a) 4)))
61.0ms	(- (* b b) (* (* c a) 4))

simplify524.0ms

Counts: 100 → 100

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune1.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.7b

regimes324.0ms

Accuracy

83.2% (4.6b remaining)

Error of 10.1b against oracle of 5.5b and baseline of 32.8b

bsearch147.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1065×	body	2560	valid
844.0ms	5947×	body	80	valid
711.0ms	879×	body	1280	valid
333.0ms	2799×	body	80	nan
233.0ms	426×	body	640	valid
125.0ms	110×	body	5120	valid
73.0ms	211×	body	320	valid
25.0ms	106×	body	160	valid