Details

sample207.0ms

Algorithm

intervals

Results

21.0ms	195×	body	80	valid
16.0ms	30×	body	1280	valid
14.0ms	24×	body	2560	valid
13.0ms	100×	body	80	nan
6.0ms	14×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	3×	body	5120	valid
1.0ms	2×	body	160	valid

simplify69.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize27.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b_2 b_2) (* a c)))
0.6b	(- (* b_2 b_2) (* a c))
0.5b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.1b	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite118.0ms

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

59.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
39.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
10.0ms	(sqrt (- (* b_2 b_2) (* a c)))
7.0ms	(- (* b_2 b_2) (* a c))

series408.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
110.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
106.0ms	(sqrt (- (* b_2 b_2) (* a c)))
62.0ms	(- (* b_2 b_2) (* a c))

simplify457.0ms

Counts: 129 → 100

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize21.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b_2 b_2) (* a c)))
0.6b	(- (* b_2 b_2) (* a c))
0.5b	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
0.2b	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

Slowest

114.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
44.0ms	(- (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))

series394.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(* (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ 1 a))
120.0ms	(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
75.0ms	(sqrt (- (* b_2 b_2) (* a c)))
60.0ms	(- (* b_2 b_2) (* a c))

simplify395.0ms

Counts: 113 → 101

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.8b

localize49.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b_2 b_2) (* a c)))
21.6b	(sqrt (- (* b_2 b_2) (* a c)))
0.6b	(- (* b_2 b_2) (* a c))
0.6b	(- (* b_2 b_2) (* a c))

rewrite70.0ms

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

23.0ms	(sqrt (- (* b_2 b_2) (* a c)))
16.0ms	(- (* b_2 b_2) (* a c))
15.0ms	(- (* b_2 b_2) (* a c))
15.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(sqrt (- (* b_2 b_2) (* a c)))
87.0ms	(sqrt (- (* b_2 b_2) (* a c)))
52.0ms	(- (* b_2 b_2) (* a c))
44.0ms	(- (* b_2 b_2) (* a c))

simplify426.0ms

Counts: 80 → 70

prune1.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.8b

localize35.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b_2 b_2) (* a c)))
15.6b	(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
7.4b	(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) a)
0.9b	(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

111.0ms	(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) a)
73.0ms	(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
30.0ms	(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)
11.0ms	(sqrt (- (* b_2 b_2) (* a c)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(+ (sqrt (- (* b_2 b_2) (* a c))) b_2)
72.0ms	(sqrt (- (* b_2 b_2) (* a c)))
25.0ms	(- (- (* b_2 b_2) (* a c)) (* b_2 b_2))
13.0ms	(/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) a)

simplify493.0ms

Counts: 115 → 94

prune957.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.7b

regimes271.0ms

Accuracy

88.9% (2.6b remaining)

Error of 8.1b against oracle of 5.5b and baseline of 28.9b

bsearch316.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1051×	body	2560	valid
762.0ms	5842×	body	80	valid
639.0ms	888×	body	1280	valid
298.0ms	2921×	body	80	nan
197.0ms	489×	body	640	valid
119.0ms	108×	body	5120	valid
68.0ms	222×	body	320	valid
58.0ms	116×	body	160	valid