Details

Time bar (total: 16.2s)

sample361.0ms

Algorithm
intervals
Results
117.0ms549×pre80true
36.0ms98×body320valid
35.0ms293×body80nan
26.0ms106×body160valid
10.0ms20×body640valid
4.0ms32×body80valid

simplify197.0ms

Calls
1 calls:
Slowest
194.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.3b

localize45.0ms

Local error

Found 4 expressions with local error:

27.3b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(- (* b b) (* (* c a) 4))
0.0b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log add-log-exp
4×pow1 flip3-- insert-posit16 flip--
3×times-frac sqrt-prod associate-/l*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num associate-/r* frac-2neg pow1/2 diff-log div-sub div-exp div-inv
Calls
4 calls:
Slowest
48.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
40.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
5.0ms
(sqrt (- (* b b) (* (* c a) 4)))
5.0ms
(- (* b b) (* (* c a) 4))

series272.0ms

Calls
4 calls:
Slowest
96.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
93.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
48.0ms
(sqrt (- (* b b) (* (* c a) 4)))
34.0ms
(- (* b b) (* (* c a) 4))

simplify3.9s

Calls
32 calls:
Slowest
609.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
514.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
352.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
226.0ms
(- b (* 2 (/ (* a c) b)))
223.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune854.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune38.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×add-cbrt-cube add-exp-log
2×add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
1×cbrt-undiv associate-/r* times-frac div-exp associate-*r/ associate-/l/
Calls
2 calls:
Slowest
8.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
5.0ms
(/ (* a c) b)

series48.0ms

Calls
2 calls:
Slowest
26.0ms
(/ (* a c) b)
21.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify1.2s

Calls
11 calls:
Slowest
737.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
155.0ms
(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
149.0ms
(/ (/ (* a c) b) a)
18.0ms
(/ (* a c) b)
17.0ms
(/ (* a c) b)

prune419.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))
0.3b
(/ (* -2 (/ 1 (/ b (* a c)))) (* 2 a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-/r* add-exp-log
5×add-cbrt-cube
4×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt div-inv
3×clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×cbrt-undiv rec-exp times-frac div-exp associate-*r/ associate-/r/ un-div-inv pow-flip associate-/l* inv-pow
Calls
3 calls:
Slowest
8.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) (* 2 a))
2.0ms
(/ 1 (/ b (* a c)))
1.0ms
(/ b (* a c))

series65.0ms

Calls
3 calls:
Slowest
24.0ms
(/ 1 (/ b (* a c)))
22.0ms
(/ b (* a c))
18.0ms
(/ (* -2 (/ 1 (/ b (* a c)))) (* 2 a))

simplify1.5s

Calls
20 calls:
Slowest
722.0ms
(/ (* (* (* -2 (/ 1 (/ b (* a c)))) (* -2 (/ 1 (/ b (* a c))))) (* -2 (/ 1 (/ b (* a c))))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
399.0ms
(/ (/ 1 (/ b (* a c))) a)
174.0ms
(- (log (* -2 (/ 1 (/ b (* a c))))) (log (* 2 a)))
27.0ms
(cbrt (/ b (* a c)))
22.0ms
(sqrt (/ b (* a c)))

prune516.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.1b

regimes389.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch2.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
1.7s3558×body320valid
1.5s8114×body80nan
1.0s16114×pre80true
777.0ms2957×body160valid
572.0ms965×body80valid
321.0ms520×body640valid