Details

sample114.0ms

Algorithm

intervals

Results

32.0ms	191×	body	80	valid
23.0ms	29×	body	2560	valid
15.0ms	22×	body	1280	valid
11.0ms	77×	body	80	nan
6.0ms	11×	body	640	valid
4.0ms	4×	body	5120	valid
4.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify131.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize22.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.3b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
4×	`insert-posit16`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `flip3--` `sqrt-div` `div-exp` `associate-+l-` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `clear-num` `associate-/r*` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 74

Calls

4 calls:

Slowest

53.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
26.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
14.0ms	(- (* b b) (* (* 4 a) c))
13.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
115.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
111.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
79.0ms	(- (* b b) (* (* 4 a) c))

simplify2.6s

Counts: 86 → 86

prune914.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize49.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.3b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.2b	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

Slowest

71.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
27.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
15.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(- (* b b) (* (* 4 a) c))

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
95.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
89.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
67.0ms	(- (* b b) (* (* 4 a) c))

simplify571.0ms

Counts: 96 → 96

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.7b

localize31.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 c) a)))
1.4b	(- (* b b) (* (* 4 c) a))
1.3b	(- (sqrt (- (* b b) (* (* 4 c) a))) b)
0.2b	(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 c) a))) b)))

rewrite119.0ms

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

67.0ms	(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 c) a))) b)))
33.0ms	(- (sqrt (- (* b b) (* (* 4 c) a))) b)
9.0ms	(- (* b b) (* (* 4 c) a))
7.0ms	(sqrt (- (* b b) (* (* 4 c) a)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

201.0ms	(/ 1 (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 c) a))) b)))
114.0ms	(- (sqrt (- (* b b) (* (* 4 c) a))) b)
113.0ms	(sqrt (- (* b b) (* (* 4 c) a)))
55.0ms	(- (* b b) (* (* 4 c) a))

simplify867.0ms

Counts: 134 → 134

prune1.8s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.7b

localize55.0ms

Local error

Found 4 expressions with local error:

21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
21.6b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite37.0ms

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

13.0ms	(- (* b b) (* (* 4 a) c))
8.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))
7.0ms	(sqrt (- (* b b) (* (* 4 a) c)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
103.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
62.0ms	(- (* b b) (* (* 4 a) c))
58.0ms	(- (* b b) (* (* 4 a) c))

simplify627.0ms

Counts: 70 → 70

prune1.1s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 5.7b

regimes586.0ms

Accuracy

81.9% (4.9b remaining)

Error of 10.6b against oracle of 5.7b and baseline of 33.0b

bsearch185.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	5845×	body	80	valid
1.1s	847×	body	1280	valid
1.0s	1114×	body	2560	valid
493.0ms	2891×	body	80	nan
224.0ms	415×	body	640	valid
178.0ms	123×	body	5120	valid
99.0ms	246×	body	320	valid
36.0ms	137×	body	160	valid