Details

Time bar (total: 1.1m)

sample132.0ms

Algorithm
intervals
Results
34.0ms147×body160valid
28.0ms493×pre80true
27.0ms237×body80nan
13.0ms41×body320valid
7.0ms68×body80valid

simplify172.0ms

Calls
1 calls:
Slowest
171.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.5b

localize20.0ms

Local error

Found 4 expressions with local error:

36.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite180.0ms

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
91.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
49.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
28.0ms
(* (* 3 a) c)
10.0ms
(- (* b b) (* (* 3 a) c))

series382.0ms

Calls
4 calls:
Slowest
152.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
123.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
72.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify6.0s

Calls
50 calls:
Slowest
674.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
543.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
445.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
368.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
303.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

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

prune61.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.4b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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
42.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
25.0ms
(* -3/2 (/ (* a c) b))
11.0ms
(/ (* a c) b)

series108.0ms

Calls
3 calls:
Slowest
49.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* a c) b)
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.6s

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)))
940.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune981.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.4b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
76×add-sqr-sqrt
67×times-frac
46×*-un-lft-identity add-cube-cbrt
37×prod-exp cbrt-unprod
36×sqrt-prod
29×cbrt-undiv div-exp
25×associate-*l*
23×associate-*r*
11×pow1
9×associate-*r/ unswap-sqr
7×associate-/r*
4×pow-prod-down insert-posit16 div-inv associate-/l* add-log-exp
3×frac-times associate-*l/ associate-/l/
2×clear-num frac-2neg *-commutative
Calls
4 calls:
Slowest
61.0ms
(/ (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 3 a))
49.0ms
(* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))
22.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))
5.0ms
(/ a (sqrt b))

series271.0ms

Calls
4 calls:
Slowest
82.0ms
(/ a (sqrt b))
67.0ms
(* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))
62.0ms
(* (/ a (sqrt b)) (/ c (sqrt b)))
60.0ms
(/ (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* 3 a))

simplify31.2s

Calls
178 calls:
Slowest
2.0s
(/ (* (* (* -3/2 -3/2) -3/2) (* (/ (* (* a a) a) (* (* (sqrt b) (sqrt b)) (sqrt b))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b))))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.8s
(/ (* (* (* -3/2 -3/2) -3/2) (* (/ (* (* a a) a) (* (* (sqrt b) (sqrt b)) (sqrt b))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b))))) (* (* (* 3 3) 3) (* (* a a) a)))
1.8s
(/ (* (* (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b)))) (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))) (* -3/2 (* (/ a (sqrt b)) (/ c (sqrt b))))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.7s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (/ a (sqrt b)) (/ a (sqrt b))) (/ a (sqrt b))) (/ (* (* c c) c) (* (* (sqrt b) (sqrt b)) (sqrt b))))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.6s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (/ a (sqrt b)) (/ a (sqrt b))) (/ a (sqrt b))) (/ (* (* c c) c) (* (* (sqrt b) (sqrt b)) (sqrt b))))) (* (* (* 3 3) 3) (* (* a a) a)))

prune2.2s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.3b

regimes965.0ms

Accuracy

3.6% (6.7b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 12.1b

bsearch31.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.5s16394×pre80true
1.5s8394×body80nan
1.3s4796×body160valid
500.0ms1381×body320valid
229.0ms1823×body80valid