Details

Time bar (total: 43.6s)

sample185.0ms

Algorithm
intervals
Results
53.0ms513×pre80true
45.0ms122×body320valid
28.0ms257×body80nan
20.0ms90×body160valid
9.0ms18×body640valid
3.0ms26×body80valid

simplify144.0ms

Calls
1 calls:
Slowest
144.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.9b

localize42.0ms

Local error

Found 4 expressions with local error:

24.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Calls
4 calls:
Slowest
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
25.0ms
(* (* 3 a) c)
15.0ms
(- (* b b) (* (* 3 a) c))

series398.0ms

Calls
4 calls:
Slowest
166.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
120.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
76.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)

simplify5.4s

Calls
50 calls:
Slowest
494.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
456.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
438.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
376.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
313.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune986.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

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

prune43.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Calls
3 calls:
Slowest
20.0ms
(/ (* a c) b)
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))

series110.0ms

Calls
3 calls:
Slowest
47.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
29.0ms
(/ (* a c) b)

simplify13.0s

Calls
58 calls:
Slowest
1.4s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.2s
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 3) 3) (* (* a a) a)))

prune878.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

localize30.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (* a (/ c b))) (* 3 a))
0.3b
(* -3/2 (* a (/ c b)))
0.2b
(* a (/ c b))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
11×times-frac
10×pow1
6×associate-*l*
5×associate-*r/
4×pow-prod-down
3×insert-posit16 add-log-exp
2×*-commutative div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l* associate-/l/
Calls
3 calls:
Slowest
45.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))
18.0ms
(* -3/2 (* a (/ c b)))
11.0ms
(* a (/ c b))

series111.0ms

Calls
3 calls:
Slowest
47.0ms
(* -3/2 (* a (/ c b)))
35.0ms
(* a (/ c b))
29.0ms
(/ (* -3/2 (* a (/ c b))) (* 3 a))

simplify14.4s

Calls
63 calls:
Slowest
1.5s
(/ (* (* (* -3/2 (* a (/ c b))) (* -3/2 (* a (/ c b)))) (* -3/2 (* a (/ c b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (/ (* (* c c) c) (* (* b b) b)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (/ (* (* c c) c) (* (* b b) b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a (/ c b)) (* a (/ c b))) (* a (/ c b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 (* a (/ c b))) (* -3/2 (* a (/ c b)))) (* -3/2 (* a (/ c b)))) (* (* (* 3 3) 3) (* (* a a) a)))

prune837.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.6b

regimes513.0ms

Accuracy

0% (3.5b remaining)

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

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.5s3694×body320valid
1.2s2862×body160valid
1.1s8011×body80nan
1.1s16011×pre80true
532.0ms916×body80valid
277.0ms528×body640valid