Details

Time bar (total: 50.9s)

sample554.0ms

Algorithm
intervals
Results
180.0ms107×body160valid
103.0ms522×pre80true
56.0ms107×body320valid
47.0ms266×body80nan
35.0ms30×body80valid
8.0ms12×body640valid

simplify251.0ms

Calls
1 calls:
Slowest
250.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.8b

localize48.0ms

Local error

Found 4 expressions with local error:

29.0b
(- (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))
0.1b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite151.0ms

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
81.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
53.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms
(- (* b b) (* (* c a) 4))
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series421.0ms

Calls
4 calls:
Slowest
155.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
98.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
96.0ms
(sqrt (- (* b b) (* (* c a) 4)))
71.0ms
(- (* b b) (* (* c a) 4))

simplify5.6s

Calls
49 calls:
Slowest
561.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
418.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
322.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
286.0ms
(/ (* (* (- (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)))
257.0ms
(/ (exp (* b b)) (exp (* (* c a) 4)))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize5.0ms

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

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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
39.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
9.0ms
(/ (* a c) b)

series50.0ms

Calls
2 calls:
Slowest
27.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
23.0ms
(/ (* a c) b)

simplify12.4s

Calls
37 calls:
Slowest
1.5s
(/ (* (* (* -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)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
975.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune659.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))
0.3b
(/ (* a c) b)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
69×prod-exp
61×add-cbrt-cube
32×div-exp
29×cbrt-unprod
16×cbrt-undiv
8×rec-exp 1-exp
7×pow1 associate-*r*
6×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* pow-prod-down associate-*r/
2×insert-posit16 div-inv add-log-exp
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Calls
2 calls:
Slowest
71.0ms
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))
12.0ms
(/ (* a c) b)

series76.0ms

Calls
2 calls:
Slowest
41.0ms
(/ (* a c) b)
35.0ms
(* (* -2 (/ (* a c) b)) (/ 1 (* 2 a)))

simplify21.7s

Calls
72 calls:
Slowest
1.3s
(* (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 2 2) 2) (* (* a a) a))))
1.2s
(* (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 2 2) 2) (* (* a a) a))))
1.2s
(* (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 2 a) (* 2 a)) (* 2 a))))
988.0ms
(* (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (/ 1 (* 2 a))))
878.0ms
(* (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (/ 1 (* 2 a))))

prune678.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.0b

regimes455.0ms

Accuracy

0% (3.7b remaining)

Error of 6.3b against oracle of 2.6b and baseline of 6.3b

bsearch1.0ms

end0.0ms

sample6.6s

Algorithm
intervals
Results
1.8s3633×body320valid
1.6s8152×body80nan
1.1s16152×pre80true
906.0ms2940×body160valid
529.0ms955×body80valid
334.0ms472×body640valid