Details

Time bar (total: 45.8s)

sample134.0ms

Algorithm
intervals
Results
46.0ms148×body160valid
29.0ms517×pre80true
26.0ms261×body80nan
12.0ms108×body80valid

simplify143.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
143.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize46.0ms

Local error

Found 4 expressions with local error:

28.0b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite173.0ms

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
77.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
54.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series332.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
113.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
61.0ms
(- (* b b) (* (* 3 a) c))
22.0ms
(* (* 3 a) c)

simplify5.1s

Counts
50 → 91
Calls
50 calls:
Slowest
575.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
376.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
375.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
359.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
305.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.1b

localize13.0ms

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

prune80.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.1b

localize30.0ms

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)

rewrite63.0ms

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
39.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
14.0ms
(* -3/2 (/ (* a c) b))
10.0ms
(/ (* a c) b)

series93.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
49.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
22.0ms
(/ (* a c) b)

simplify13.5s

Counts
58 → 90
Calls
58 calls:
Slowest
1.7s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.4s
(/ (* (* (* -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 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)))
944.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.0s

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 10.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×associate-*l* insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 169
Calls
3 calls:
Slowest
35.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
25.0ms
(* -3/2 (/ a (/ b c)))
12.0ms
(/ a (/ b c))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
31.0ms
(* -3/2 (/ a (/ b c)))
26.0ms
(/ a (/ b c))

simplify15.9s

Counts
184 → 178
Calls
184 calls:
Slowest
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 3) 3) (* (* a a) a)))
930.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ a (/ b c)) (/ a (/ b c))) (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
867.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.8s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.9b

regimes1.1s

Accuracy

46.7% (7.4b remaining)

Error of 16.5b against oracle of 9.1b and baseline of 23.0b

bsearch104.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s16439×pre80true
1.1s8439×body80nan
1.0s4443×body160valid
835.0ms3557×body80valid