Details

Time bar (total: 57.3s)

sample1.1s

Algorithm
intervals
Results
97.0ms300×body80nan
77.0ms108×body320valid
65.0ms17×body640valid
51.0ms556×pre80true
36.0ms99×body160valid
5.0ms32×body80valid

simplify164.0ms

Calls
1 calls:
Slowest
163.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.4b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Calls
4 calls:
Slowest
117.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
82.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
15.0ms
(- (* b b) (* (* c a) 4))
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series402.0ms

Calls
4 calls:
Slowest
125.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
120.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
89.0ms
(sqrt (- (* b b) (* (* c a) 4)))
67.0ms
(- (* b b) (* (* c a) 4))

simplify5.5s

Calls
49 calls:
Slowest
601.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
396.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
378.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
277.0ms
(- b (* 2 (/ (* a c) b)))
273.0ms
(/ (exp (* b b)) (exp (* (* c a) 4)))

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize10.0ms

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

prune42.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Calls
2 calls:
Slowest
32.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
8.0ms
(/ (* a c) b)

series63.0ms

Calls
2 calls:
Slowest
40.0ms
(/ (* a c) b)
23.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify11.6s

Calls
37 calls:
Slowest
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.0s
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune639.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×times-frac
76×add-cbrt-cube add-exp-log
60×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
28×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
22×associate-*r* associate-*l*
13×associate-/r*
9×unswap-sqr
7×associate-/l*
6×pow1
5×associate-*r/ div-inv
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-/l/
2×frac-times associate-*l/
1×pow-prod-down *-commutative
Calls
4 calls:
Slowest
39.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 2 a))
16.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))
9.0ms
(/ c (sqrt b))
5.0ms
(/ a (sqrt b))

series218.0ms

Calls
4 calls:
Slowest
63.0ms
(/ a (sqrt b))
56.0ms
(/ c (sqrt b))
54.0ms
(/ (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 2 a))
45.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))

simplify27.7s

Calls
206 calls:
Slowest
2.1s
(/ (* (* (* -2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* -2 (* (/ a (sqrt b)) (/ c (sqrt b))))) (* -2 (* (/ a (sqrt b)) (/ c (sqrt b))))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.9s
(/ (* (* (* -2 -2) -2) (* (/ (* (* a a) a) (* (* (sqrt b) (sqrt b)) (sqrt b))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b))))) (* (* (* 2 2) 2) (* (* a a) a)))
1.7s
(/ (* (* (* -2 -2) -2) (* (/ (* (* a a) a) (* (* (sqrt b) (sqrt b)) (sqrt b))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b))))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.7s
(/ (* (* (* -2 -2) -2) (* (* (* (/ a (sqrt b)) (/ a (sqrt b))) (/ a (sqrt b))) (/ (* (* c c) c) (* (* (sqrt b) (sqrt b)) (sqrt b))))) (* (* (* 2 2) 2) (* (* a a) a)))
1.7s
(/ (* (* (* -2 -2) -2) (* (* (* (/ a (sqrt b)) (/ a (sqrt b))) (/ a (sqrt b))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b))))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune2.1s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.9b

regimes514.0ms

Accuracy

0% (3.5b remaining)

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

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
1.7s3651×body320valid
1.0s8317×body80nan
891.0ms2919×body160valid
870.0ms16317×pre80true
652.0ms537×body640valid
175.0ms893×body80valid