Details

sample100.0ms

Algorithm

intervals

Results

27.0ms	36×	body	2560	valid
21.0ms	197×	body	80	valid
14.0ms	28×	body	1280	valid
9.0ms	93×	body	80	nan
7.0ms	15×	body	640	valid
2.0ms	3×	body	5120	valid
2.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify89.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize18.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite103.0ms

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

65.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
15.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms	(sqrt (- (* b_2 b_2) (* a c)))
9.0ms	(- (* b_2 b_2) (* a c))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
109.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
92.0ms	(sqrt (- (* b_2 b_2) (* a c)))
51.0ms	(- (* b_2 b_2) (* a c))

simplify1.2s

Counts: 107 → 107

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.7b

localize42.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`associate-r` `add-exp-log` `add-cube-cbrt`
11×	`times-frac`
10×	`add-log-exp`
9×	`add-cbrt-cube`
7×	`pow1` `associate-l`
5×	`flip3--` `sqrt-prod` `flip--`
4×	`prod-exp` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log` `unswap-sqr`
2×	`frac-times` `sub-neg` `distribute-rgt-neg-in` `sqrt-div` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`associate--l-` `neg-sub0` `cbrt-undiv` `rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `pow-prod-down` `neg-log` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

Slowest

111.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
21.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
12.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series320.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
95.0ms	(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
73.0ms	(sqrt (- (* b_2 b_2) (* a c)))
50.0ms	(- (* b_2 b_2) (* a c))

simplify1.5s

Counts: 105 → 105

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
1.4b	(- (* b_2 b_2) (* a c))
0.4b	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.1b	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite103.0ms

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

55.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
30.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
10.0ms	(- (* b_2 b_2) (* a c))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
117.0ms	(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
105.0ms	(sqrt (- (* b_2 b_2) (* a c)))
40.0ms	(- (* b_2 b_2) (* a c))

simplify1.1s

Counts: 107 → 107

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

localize49.0ms

Local error

Found 4 expressions with local error:

24.8b	(sqrt (- (* b_2 b_2) (* a c)))
21.0b	(- (* b_2 b_2) (* b_2 b_2))
13.4b	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) a)
1.4b	(- (* b_2 b_2) (* a c))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

75.0ms	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) a)
14.0ms	(- (* b_2 b_2) (* a c))
12.0ms	(- (* b_2 b_2) (* b_2 b_2))
7.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(sqrt (- (* b_2 b_2) (* a c)))
67.0ms	(- (* b_2 b_2) (* a c))
17.0ms	(/ (+ (- (* b_2 b_2) (* b_2 b_2)) (* a c)) a)
2.0ms	(- (* b_2 b_2) (* b_2 b_2))

simplify818.0ms

Counts: 89 → 89

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

regimes422.0ms

Accuracy

96.5% (0.8b remaining)

Error of 6.4b against oracle of 5.6b and baseline of 29.4b

bsearch269.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	1080×	body	2560	valid
822.0ms	5905×	body	80	valid
633.0ms	894×	body	1280	valid
484.0ms	2917×	body	80	nan
252.0ms	465×	body	640	valid
96.0ms	106×	body	5120	valid
79.0ms	228×	body	320	valid
22.0ms	96×	body	160	valid