Details

Time bar (total: 40.5s)

sample205.0ms

Algorithm
intervals
Results
50.0ms125×body320valid
45.0ms93×body160valid
37.0ms532×pre80true
36.0ms276×body80nan
8.0ms16×body640valid
3.0ms22×body80valid

simplify133.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
132.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize23.0ms

Local error

Found 4 expressions with local error:

25.2b
(- (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))

rewrite156.0ms

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
Counts
4 → 79
Calls
4 calls:
Slowest
74.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
61.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series346.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
99.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
61.0ms
(- (* b b) (* (* 3 a) c))
38.0ms
(* (* 3 a) c)

simplify6.0s

Counts
50 → 91
Calls
50 calls:
Slowest
627.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
581.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (* (* (* 3 3) 3) (* (* a a) a)))
464.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
451.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
418.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune44.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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/
Counts
3 → 81
Calls
3 calls:
Slowest
41.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series118.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
51.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.9s

Counts
58 → 90
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)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -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)))
780.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune844.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.3b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
40×add-cbrt-cube add-exp-log
14×prod-exp cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv times-frac div-exp associate-*r*
9×pow1
8×sqrt-div
7×associate-/r* sqrt-prod
6×associate-*r/
4×insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg pow-prod-down associate-/l* associate-/l/
2×frac-times associate-*l/
1×associate-*l* *-commutative
Counts
4 → 102
Calls
4 calls:
Slowest
108.0ms
(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))
86.0ms
(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
15.0ms
(/ (* a c) b)
15.0ms
(/ (* a c) b)

series242.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))
54.0ms
(/ (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3 a))
40.0ms
(/ (* a c) b)
35.0ms
(/ (* a c) b)

simplify10.9s

Counts
74 → 114
Calls
74 calls:
Slowest
1.6s
(/ (* (* (* (* -3/2 (sqrt (/ (* a c) b))) (* -3/2 (sqrt (/ (* a c) b)))) (* -3/2 (sqrt (/ (* a c) b)))) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.4s
(/ (* (* (* (* -3/2 -3/2) -3/2) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* -3/2 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
937.0ms
(/ (* (* (* (* -3/2 (sqrt (/ (* a c) b))) (* -3/2 (sqrt (/ (* a c) b)))) (* -3/2 (sqrt (/ (* a c) b)))) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (* 3 3) 3) (* (* a a) a)))
867.0ms
(/ (* (* (* (* -3/2 -3/2) -3/2) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))) (* (* (* 3 3) 3) (* (* a a) a)))

prune1.2s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 2.3b

regimes564.0ms

Accuracy

0% (3.3b remaining)

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

bsearch1.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.5s3679×body320valid
1.2s2922×body160valid
1.1s8174×body80nan
952.0ms16174×pre80true
354.0ms541×body640valid
124.0ms858×body80valid