Details

Time bar (total: 55.2s)

sample160.0ms

Algorithm
intervals
Results
42.0ms140×body160valid
37.0ms514×pre80true
36.0ms258×body80nan
17.0ms116×body80valid

simplify145.0ms

Calls
1 calls:
Slowest
145.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize22.0ms

Local error

Found 4 expressions with local error:

29.5b
(- (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))

rewrite169.0ms

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
81.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
67.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series382.0ms

Calls
4 calls:
Slowest
170.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
114.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
66.0ms
(- (* b b) (* (* 3 a) c))
32.0ms
(* (* 3 a) c)

simplify5.4s

Calls
50 calls:
Slowest
636.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
485.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
424.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
408.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
290.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune966.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.1b

localize6.0ms

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

prune62.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.1b

localize27.0ms

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)

rewrite81.0ms

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
38.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series104.0ms

Calls
3 calls:
Slowest
42.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
28.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.7s

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)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
813.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune848.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 7.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* 3 a) (/ (* a c) b))
0.2b
(/ (* a c) b)
0.2b
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
58×add-cbrt-cube add-exp-log
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
29×cbrt-undiv div-exp
22×associate-/r*
13×div-inv
11×prod-exp cbrt-unprod
6×associate-/r/
5×associate-/l*
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Calls
3 calls:
Slowest
16.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))
11.0ms
(/ (* 3 a) (/ (* a c) b))
8.0ms
(/ (* a c) b)

series69.0ms

Calls
3 calls:
Slowest
25.0ms
(/ (* a c) b)
23.0ms
(/ (* 3 a) (/ (* a c) b))
21.0ms
(/ -3/2 (/ (* 3 a) (/ (* a c) b)))

simplify26.1s

Calls
154 calls:
Slowest
1.2s
(/ (* (* -3/2 -3/2) -3/2) (/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))))
1.0s
(/ (* (* -3/2 -3/2) -3/2) (/ (* (* (* 3 3) 3) (* (* a a) a)) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))))
1.0s
(/ (* (* -3/2 -3/2) -3/2) (/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))))
976.0ms
(/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b)))
851.0ms
(/ (* (* -3/2 -3/2) -3/2) (/ (* (* (* 3 3) 3) (* (* a a) a)) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))))

prune1.1s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 7.9b

regimes1.3s

Accuracy

43% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.5b

bsearch36.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.8s4507×body160valid
1.5s16771×pre80true
1.1s8771×body80nan
423.0ms3493×body80valid