Details

sample116.0ms

Algorithm

intervals

Results

37.0ms	44×	body	2560	valid
23.0ms	179×	body	80	valid
17.0ms	31×	body	1280	valid
11.0ms	92×	body	80	nan
4.0ms	11×	body	640	valid
3.0ms	3×	body	5120	valid
2.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify112.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize46.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`fma-def` `add-cube-cbrt` `add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-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*` `neg-mul-1` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `div-sub` `prod-diff` `neg-log` `prod-exp` `cbrt-unprod` `div-inv`

Counts

4 → 94

Calls

4 calls:

Slowest

59.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
21.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
17.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms	(- (* b b) (* (* 4 a) c))

series405.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
109.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
88.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
80.0ms	(- (* b b) (* (* 4 a) c))

simplify2.1s

Counts: 106 → 106

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize52.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.0b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
0.2b	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`associate-r`
10×	`fma-def` `times-frac` `add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`distribute-rgt-neg-in` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`distribute-lft-neg-in` `flip3-+` `sqrt-prod` `flip-+`
2×	`frac-times` `sum-log` `flip3--` `sqrt-div` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`neg-sub0` `cbrt-undiv` `+-commutative` `rem-sqrt-square` `neg-mul-1` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `neg-log` `associate-r/` `-commutative` `associate-+l-` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

109.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
30.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
19.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms	(- (* b b) (* (* 4 a) c))

series456.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(* (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a))
125.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
112.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
84.0ms	(- (* b b) (* (* 4 a) c))

simplify668.0ms

Counts: 116 → 116

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.7b

localize38.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 70

Calls

4 calls:

Slowest

19.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
19.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms	(- (* b b) (* (* 4 a) c))
16.0ms	(- (* b b) (* (* 4 a) c))

series362.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
102.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
69.0ms	(- (* b b) (* (* 4 a) c))
64.0ms	(- (* b b) (* (* 4 a) c))

simplify780.0ms

Counts: 82 → 82

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.7b

localize60.0ms

Local error

Found 4 expressions with local error:

25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
25.5b	(sqrt (- (* b b) (* (* 4 a) c)))
1.4b	(- (* b b) (* (* 4 a) c))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 71

Calls

4 calls:

Slowest

20.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
19.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
19.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms	(- (* b b) (* (* 4 a) c))

series396.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
115.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
53.0ms	(- (* b b) (* (* 4 a) c))

simplify724.0ms

Counts: 83 → 83

prune1.4s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 5.7b

regimes738.0ms

Accuracy

84.1% (4.5b remaining)

Error of 10.2b against oracle of 5.8b and baseline of 33.8b

bsearch227.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.2s	903×	body	1280	valid
994.0ms	1094×	body	2560	valid
955.0ms	2909×	body	80	nan
889.0ms	5828×	body	80	valid
294.0ms	466×	body	640	valid
133.0ms	122×	body	5120	valid
125.0ms	234×	body	320	valid
26.0ms	99×	body	160	valid