Details

Time bar (total: 17.5s)

sample143.0ms

Algorithm
intervals
Results
31.0ms36×body2560valid
28.0ms11×body640valid
27.0ms195×body80valid
18.0ms26×body1280valid
9.0ms77×body80nan
3.0msbody5120valid
3.0msbody320valid
1.0msbody160valid

simplify51.0ms

Counts
1 → 1
Iterations
IterNodes
544
444
341
232
118
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* a c)))) a)
0.4b
(- (- b) (sqrt (- (* b b) (* a c))))
0.8b
(- (* b b) (* a c))
22.8b
(sqrt (- (* b b) (* a c)))

rewrite175.0ms

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
sqrt-prod
associate-/l*
add-cbrt-cube add-exp-log
pow1 distribute-rgt-neg-in
flip3-- insert-posit16 flip--
associate-/r* diff-log
sub-neg sqrt-div associate-/l/
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:
100.0ms
(/ (- (- b) (sqrt (- (* b b) (* a c)))) a)
36.0ms
(- (- b) (sqrt (- (* b b) (* a c))))
19.0ms
(- (* b b) (* a c))
18.0ms
(sqrt (- (* b b) (* a c)))

series498.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ (- (- b) (sqrt (- (* b b) (* a c)))) a)
141.0ms
(- (- b) (sqrt (- (* b b) (* a c))))
66.0ms
(- (* b b) (* a c))
126.0ms
(sqrt (- (* b b) (* a c)))

simplify1.5s

Counts
107 → 107
Iterations
IterNodes
32538
2978
1384
0160

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* a c))))))
0.4b
(- (- b) (sqrt (- (* b b) (* a c))))
0.8b
(- (* b b) (* a c))
22.8b
(sqrt (- (* b b) (* a c)))

rewrite158.0ms

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
add-cbrt-cube associate-/r/
flip3-- div-exp flip--
pow1
div-inv
insert-posit16
cbrt-undiv diff-log associate-/l*
rec-exp sub-neg sqrt-div 1-exp
associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log pow-flip inv-pow
Counts
4 → 181
Calls
4 calls:
68.0ms
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* a c))))))
46.0ms
(- (- b) (sqrt (- (* b b) (* a c))))
18.0ms
(- (* b b) (* a c))
19.0ms
(sqrt (- (* b b) (* a c)))

series533.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(/ 1 (/ a (- (- b) (sqrt (- (* b b) (* a c))))))
144.0ms
(- (- b) (sqrt (- (* b b) (* a c))))
66.0ms
(- (* b b) (* a c))
129.0ms
(sqrt (- (* b b) (* a c)))

simplify3.5s

Counts
193 → 193
Iterations
IterNodes
35408
21759
1657
0271

prune2.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.6b

regimes619.0ms

Accuracy

83% (4.8b remaining)

Error of 10.3b against oracle of 5.5b and baseline of 33.5b

bsearch534.0ms

Steps
ItersRangePoint
8
1.7867849027043454e+42
2.155043441940217e+45
2.0124862873637464e+45
9
-2.3226227574042946e-43
-8.495573296761104e-51
-2.6813599241700416e-50
8
-1.1839832099949157e+24
-9.918220692575163e+19
-9.280942802423785e+21
6
-1.8284884323408977e+63
-3.096191382634512e+62
-9.497374990683389e+62

simplify14.0ms

Iterations
IterNodes
244
144
038

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.8s5831×body80valid
1.0s1033×body2560valid
1.0s921×body1280valid
357.0ms2819×body80nan
345.0ms463×body640valid
116.0ms106×body5120valid
91.0ms221×body320valid
32.0ms121×body160valid