Details

Time bar (total: 14.7s)

sample144.0ms

Algorithm
intervals
Results
36.0ms144×body160valid
33.0ms242×body80nan
27.0ms498×pre80true
20.0ms52×body320valid
7.0ms60×body80valid

simplify143.0ms

Calls
1 calls:
Slowest
143.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize22.0ms

Local error

Found 4 expressions with local error:

36.4b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite50.0ms

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
27.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
18.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
2.0ms
(- (* b b) (* (* c a) 4))
2.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series422.0ms

Calls
4 calls:
Slowest
160.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
100.0ms
(sqrt (- (* b b) (* (* c a) 4)))
83.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
78.0ms
(- (* b b) (* (* c a) 4))

simplify3.7s

Calls
32 calls:
Slowest
550.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
512.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
303.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
238.0ms
(- b (* 2 (/ (* a c) b)))
226.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))

prune857.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.6b

localize4.0ms

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

prune57.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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
5.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
2.0ms
(/ (* a c) b)

series63.0ms

Calls
2 calls:
Slowest
37.0ms
(/ (* a c) b)
26.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify1.3s

Calls
11 calls:
Slowest
807.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
193.0ms
(/ (/ (* a c) b) a)
179.0ms
(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
24.0ms
(/ (* a c) b)
17.0ms
(/ (* a c) b)

prune378.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.5b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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
9.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))
1.0ms
(/ a (/ b c))

series59.0ms

Calls
2 calls:
Slowest
31.0ms
(/ a (/ b c))
28.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))

simplify1.1s

Calls
15 calls:
Slowest
699.0ms
(/ (* (* (* -2 (/ a (/ b c))) (* -2 (/ a (/ b c)))) (* -2 (/ a (/ b c)))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
166.0ms
(- (log (* -2 (/ a (/ b c)))) (log (* 2 a)))
61.0ms
(/ (/ a (/ b c)) a)
22.0ms
(/ (* a c) b)
22.0ms
(/ (* a c) b)

prune297.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.5b

regimes433.0ms

Accuracy

7.3% (6.4b remaining)

Error of 11.5b against oracle of 5.1b and baseline of 12.0b

bsearch56.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.7s4798×body160valid
1.1s8211×body80nan
991.0ms16211×pre80true
560.0ms1403×body320valid
302.0ms1799×body80valid