Details

Time bar (total: 42.6s)

sample119.0ms

Algorithm
intervals
Results
35.0ms499×pre80true
29.0ms135×body160valid
24.0ms243×body80nan
13.0ms121×body80valid

simplify499.0ms

Calls
1 calls:
Slowest
499.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize33.0ms

Local error

Found 4 expressions with local error:

26.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.3b
(- (* b b) (* (* 3 a) c))

rewrite162.0ms

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
75.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
51.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
19.0ms
(* (* 3 a) c)
15.0ms
(- (* b b) (* (* 3 a) c))

series351.0ms

Calls
4 calls:
Slowest
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
104.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
59.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify5.5s

Calls
50 calls:
Slowest
569.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
554.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
478.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
358.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
294.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.0b

localize12.0ms

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

prune96.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.0b

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))
0.2b
(/ (* a c) b)

rewrite70.0ms

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
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series93.0ms

Calls
3 calls:
Slowest
46.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* a c) b)
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.1s

Calls
58 calls:
Slowest
1.3s
(/ (* (* (* -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)))
910.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune970.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))
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))))
0.2b
(/ (* a c) b)

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
34×sqrt-prod
32×add-sqr-sqrt
24×pow1
19×*-un-lft-identity add-cube-cbrt
16×times-frac
14×prod-exp cbrt-unprod
13×associate-*l*
12×sqrt-div swap-sqr
11×associate-*r*
9×associate-*r/
8×cbrt-undiv sqrt-pow1 pow1/2 div-exp
6×pow-prod-down div-inv
5×pow-prod-up unswap-sqr
4×associate-/r* insert-posit16 add-log-exp
3×frac-times associate-*l/ pow-sqr associate-/l/
2×clear-num frac-2neg *-commutative associate-/l*
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Calls
4 calls:
Slowest
110.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
66.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
21.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))
18.0ms
(/ (* a c) b)

series215.0ms

Calls
4 calls:
Slowest
70.0ms
(* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))
69.0ms
(* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b))))
53.0ms
(/ (* -3/2 (* (sqrt (/ (* a c) b)) (sqrt (/ (* a c) b)))) (* 3 a))
23.0ms
(/ (* a c) b)

simplify12.8s

Calls
135 calls:
Slowest
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)))
1.2s
(/ (* (* (* -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)))
989.0ms
(/ (* (* (* -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 a) (* 3 a)) (* 3 a)))
899.0ms
(/ (* (* (* -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 3) 3) (* (* a a) a)))
803.0ms
(/ (* (* (* -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)))

prune1.5s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.8b

regimes1.1s

Accuracy

38.4% (8.6b remaining)

Error of 17.6b against oracle of 9.0b and baseline of 23.0b

bsearch53.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.7s4409×body160valid
1.1s16634×pre80true
1.0s8634×body80nan
480.0ms3591×body80valid