Details

Time bar (total: 52.2s)

sample151.0ms

Algorithm
intervals
Results
46.0ms248×body80nan
37.0ms163×body160valid
26.0ms504×pre80true
11.0ms36×body320valid
6.0ms57×body80valid

simplify154.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize26.0ms

Local error

Found 4 expressions with local error:

37.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite201.0ms

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
114.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
61.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
18.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
160.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
107.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
57.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)

simplify5.5s

Counts
50 → 91
Calls
50 calls:
Slowest
617.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
418.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
405.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
378.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
279.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize6.0ms

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

prune40.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))
11.0ms
(/ (* a c) b)

series88.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
40.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
22.0ms
(/ (* a c) b)

simplify12.9s

Counts
58 → 90
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)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
837.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune740.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ 1 (* 3 a))
0.2b
(/ (* a c) b)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×associate-/r* associate-*l* associate-*r/ insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num frac-2neg *-commutative pow-flip
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 142
Calls
4 calls:
Slowest
77.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
25.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ (* a c) b)
8.0ms
(/ 1 (* 3 a))

series124.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
38.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* a c) b)
27.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))
24.0ms
(/ 1 (* 3 a))

simplify22.9s

Counts
112 → 154
Calls
112 calls:
Slowest
1.0s
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 3) 3) (* (* a a) a))))
925.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 a) (* 3 a)) (* 3 a))))
899.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 3) 3) (* (* a a) a))))
850.0ms
(* (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (/ (* (* 1 1) 1) (* (* (* 3 a) (* 3 a)) (* 3 a))))
694.0ms
(* (* -3/2 (/ (* a c) b)) (/ 1 (* 3 a)))

prune1.7s

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.7b

regimes784.0ms

Accuracy

0% (6.6b remaining)

Error of 11.9b against oracle of 5.2b and baseline of 11.9b

bsearch1.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.3s4892×body160valid
1.1s8242×body80nan
1.1s16242×pre80true
1000.0ms1354×body320valid
274.0ms1754×body80valid