Details

Time bar (total: 53.1s)

sample153.0ms

Algorithm
intervals
Results
47.0ms489×pre80true
37.0ms152×body160valid
26.0ms233×body80nan
14.0ms104×body80valid

simplify148.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
148.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize37.0ms

Local error

Found 4 expressions with local error:

30.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite141.0ms

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
84.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
35.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
14.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series360.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
113.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
64.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)

simplify6.3s

Counts
50 → 91
Calls
50 calls:
Slowest
616.0ms
(/ (* (* (- (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)))
614.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
538.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
494.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
411.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.5b

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

prune134.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.5b

localize24.0ms

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)

rewrite73.0ms

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
31.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
28.0ms
(* -3/2 (/ (* a c) b))
12.0ms
(/ (* a c) b)

series112.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* a c) b)
30.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.4s

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)))
881.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune880.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.4b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
52×add-cbrt-cube add-exp-log
42×times-frac
29×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l*
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 130
Calls
4 calls:
Slowest
18.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
16.0ms
(* -3/2 (/ (* a c) b))
14.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
11.0ms
(/ (* a c) b)

series146.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
41.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* a c) b)
34.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
33.0ms
(/ (* -3/2 (/ (* a c) b)) 3)

simplify22.4s

Counts
120 → 142
Calls
120 calls:
Slowest
978.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* 3 3) 3)) (* (* a a) a))
824.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* 3 3) 3)) (* (* a a) a))
773.0ms
(- (- (+ (log -3/2) (- (log (* a c)) (log b))) (log 3)) (log a))
676.0ms
(/ (/ (/ (* a c) b) 3) a)
577.0ms
(/ (/ (/ (* a c) b) (cbrt 3)) a)

prune1.3s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 8.4b

regimes1.1s

Accuracy

44.9% (7.5b remaining)

Error of 16.4b against oracle of 8.9b and baseline of 22.5b

bsearch51.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s16477×pre80true
1.2s4500×body160valid
1.1s8477×body80nan
442.0ms3500×body80valid