Details

Time bar (total: 16.1s)

sample370.0ms

Algorithm
intervals
Results
131.0ms243×body80nan
80.0ms123×body320valid
60.0ms499×pre80true
21.0ms85×body160valid
9.0ms18×body640valid
4.0ms30×body80valid

simplify618.0ms

Calls
1 calls:
Slowest
617.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.7b

localize45.0ms

Local error

Found 4 expressions with local error:

25.2b
(- (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)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log add-log-exp
pow1 flip3-- insert-posit16 flip--
times-frac sqrt-prod associate-/l*
sub-neg sqrt-div associate-/l/
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
56.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
25.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
6.0ms
(- (* b b) (* (* c a) 4))
5.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series224.0ms

Calls
4 calls:
Slowest
82.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
75.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
40.0ms
(sqrt (- (* b b) (* (* c a) 4)))
25.0ms
(- (* b b) (* (* c a) 4))

simplify3.9s

Calls
32 calls:
Slowest
593.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
492.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
319.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
317.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
280.0ms
(- b (* 2 (/ (* a c) b)))

prune878.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize9.0ms

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

prune47.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))
0.2b
(/ (* a c) b)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt pow1 clear-num frac-2neg *-un-lft-identity add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
cbrt-undiv associate-/r* times-frac div-exp associate-*r/ associate-/l/
Calls
2 calls:
Slowest
9.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
6.0ms
(/ (* a c) b)

series41.0ms

Calls
2 calls:
Slowest
21.0ms
(/ (* a c) b)
20.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify1.2s

Calls
11 calls:
Slowest
741.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
167.0ms
(/ (/ (* a c) b) a)
141.0ms
(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
26.0ms
(* -1 (/ c b))
24.0ms
(* -1 (/ c b))

prune358.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
associate-/r*
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt div-inv
pow1 clear-num frac-2neg insert-posit16 add-log-exp
cbrt-undiv times-frac div-exp associate-*r/ associate-/r/ associate-/l* associate-/l/
Calls
2 calls:
Slowest
4.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))
0.0ms
(/ a (/ b c))

series36.0ms

Calls
2 calls:
Slowest
22.0ms
(/ a (/ b c))
13.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))

simplify1.2s

Calls
15 calls:
Slowest
786.0ms
(/ (* (* (* -2 (/ a (/ b c))) (* -2 (/ a (/ b c)))) (* -2 (/ a (/ b c)))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
146.0ms
(- (log (* -2 (/ a (/ b c)))) (log (* 2 a)))
45.0ms
(/ (/ a (/ b c)) a)
27.0ms
(* -1 (/ c b))
26.0ms
(* -1 (/ c b))

prune335.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

regimes420.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.1s3747×body320valid
1.5s8027×body80nan
921.0ms16027×pre80true
918.0ms2889×body160valid
279.0ms499×body640valid
206.0ms865×body80valid