Details

Time bar (total: 44.6s)

sample190.0ms

Algorithm
intervals
Results
46.0ms116×body320valid
42.0ms278×body80nan
35.0ms534×pre80true
26.0ms97×body160valid
9.0ms15×body640valid
4.0ms28×body80valid

simplify154.0ms

Calls
1 calls:
Slowest
154.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize18.0ms

Local error

Found 4 expressions with local error:

27.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite160.0ms

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
76.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
47.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
21.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series329.0ms

Calls
4 calls:
Slowest
129.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
119.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
52.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)

simplify5.5s

Calls
50 calls:
Slowest
579.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
480.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
443.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
408.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
332.0ms
(/ (* (* (- (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)))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize7.0ms

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

prune56.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize29.0ms

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)

rewrite80.0ms

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
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
29.0ms
(* -3/2 (/ (* a c) b))
15.0ms
(/ (* a c) b)

series104.0ms

Calls
3 calls:
Slowest
42.0ms
(/ (* a c) b)
40.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.2s

Calls
58 calls:
Slowest
1.4s
(/ (* (* (* -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 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)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
870.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune913.0ms

Pruning

22 alts after pruning (20 fresh and 2 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))
0.2b
(/ (* -3/2 (* a c)) b)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×pow1 associate-/l*
4×associate-/r* div-inv
3×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg
1×associate-*r* *-commutative associate-/l/
Calls
3 calls:
Slowest
32.0ms
(/ (* -3/2 (* a c)) b)
32.0ms
(* -3/2 (* a c))
27.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))

series94.0ms

Calls
3 calls:
Slowest
38.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
33.0ms
(/ (* -3/2 (* a c)) b)
23.0ms
(* -3/2 (* a c))

simplify14.6s

Calls
68 calls:
Slowest
1.1s
(/ (/ (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (* (* c c) c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
924.0ms
(/ (/ (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* b b) b)) (* (* (* 3 3) 3) (* (* a a) a)))
920.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (* (* c c) c))) (* (* b b) b)) (* (* (* 3 3) 3) (* (* a a) a)))
870.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a c) (* a c)) (* a c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune695.0ms

Pruning

24 alts after pruning (21 fresh and 3 done)

Merged error: 2.6b

regimes639.0ms

Accuracy

0% (3.5b remaining)

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

bsearch1.0ms

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.0s3607×body320valid
1.5s8372×body80nan
1.2s16372×pre80true
837.0ms2956×body160valid
255.0ms527×body640valid
191.0ms910×body80valid