Details

Time bar (total: 5.9s)

sample48.0ms

Algorithm
intervals
Results
11.0ms185×body80valid
8.0ms35×body2560valid
5.0ms24×body1280valid
3.0ms76×body80nan
3.0ms17×body640valid
1.0ms4×body5120valid
1.0ms6×body320valid
0.0ms4×body160valid

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.6b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite119.0ms

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-exp-log add-cbrt-cube
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 91
Calls
4 calls:
62.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
8.0ms
(- (* b_2 b_2) (* a c))
37.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
40.0ms
(- (* b_2 b_2) (* a c))
73.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
70.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify35.0ms

Counts
103 → 103

prune265.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.6b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite110.0ms

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-exp-log add-cbrt-cube
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 91
Calls
4 calls:
61.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
8.0ms
(- (* b_2 b_2) (* a c))
28.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
10.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
40.0ms
(- (* b_2 b_2) (* a c))
73.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
69.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify36.0ms

Counts
103 → 103

prune255.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.8b
(- (* b_2 b_2) (* a c))
1.6b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
130×add-sqr-sqrt
129×*-un-lft-identity
77×add-cube-cbrt
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
16×sqrt-prod
15×add-exp-log
13×distribute-rgt-neg-in
10×add-log-exp
9×associate-/r/ add-cbrt-cube
7×flip3-- div-exp flip--
6×pow1
5×div-inv
3×cbrt-undiv diff-log associate-/l*
2×sub-neg rec-exp sqrt-div 1-exp
1×associate--l- neg-sub0 rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 neg-log clear-num inv-pow
Counts
4 → 177
Calls
4 calls:
51.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
9.0ms
(- (* b_2 b_2) (* a c))
29.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
40.0ms
(- (* b_2 b_2) (* a c))
75.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
72.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify66.0ms

Counts
189 → 189

prune309.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt 1) (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
0.8b
(- (* b_2 b_2) (* a c))
1.6b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.5b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
227×add-sqr-sqrt
226×*-un-lft-identity
138×add-cube-cbrt
109×sqrt-prod
44×distribute-lft-out-- difference-of-squares
27×associate-/r*
22×distribute-rgt-neg-in
15×associate-/r/
10×flip3-- flip-- add-log-exp
9×add-exp-log add-cbrt-cube
8×div-inv
6×associate-/l*
5×pow1
3×cbrt-undiv diff-log div-exp
2×sub-neg sqrt-div
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 neg-log clear-num
Counts
4 → 255
Calls
4 calls:
50.0ms
(/ (sqrt 1) (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
8.0ms
(- (* b_2 b_2) (* a c))
28.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (sqrt 1) (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
40.0ms
(- (* b_2 b_2) (* a c))
74.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
71.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify84.0ms

Counts
267 → 267

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

regimes594.0ms

Accuracy

89.6% (3.0b remaining)

Error of 8.3b against oracle of 5.4b and baseline of 34.1b

bsearch184.0ms

Steps
ItersRangePoint
8
9.012561940608131e+125
4.309422734686771e+129
1.156413586509535e+129
8
-8.286393182168363e-290
-4.532619757041417e-294
-3.38929022928694e-293
10
-1.6145330241135586e+155
-4.1230913930237915e+136
-5.978111652548667e+136

simplify1.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
643.0ms1059×body2560valid
421.0ms5897×body80valid
282.0ms915×body1280valid
181.0ms2932×body80nan
76.0ms463×body640valid
38.0ms104×body160valid
33.0ms243×body320valid
26.0ms85×body5120valid