Details

Time bar (total: 45.8s)

sample137.0ms

Algorithm
intervals
Results
44.0ms277×body80nan
28.0ms159×body160valid
24.0ms533×pre80true
10.0ms39×body320valid
5.0ms58×body80valid

simplify105.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

localize22.0ms

Local error

Found 4 expressions with local error:

40.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite188.0ms

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
92.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
51.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms
(* (* 3 a) c)
15.0ms
(- (* b b) (* (* 3 a) c))

series366.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
108.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
67.0ms
(- (* b b) (* (* 3 a) c))
36.0ms
(* (* 3 a) c)

simplify5.3s

Counts
50 → 91
Calls
50 calls:
Slowest
590.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
453.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
415.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
388.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
322.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

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

prune116.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.6b

localize35.0ms

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)

rewrite50.0ms

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
23.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
8.0ms
(/ (* a c) b)

series98.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
44.0ms
(* -3/2 (/ (* a c) b))
28.0ms
(/ (* a c) b)
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.5s

Counts
58 → 90
Calls
58 calls:
Slowest
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 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)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
795.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.3s

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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
19.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
11.0ms
(* -3/2 (/ a (/ b c)))
5.0ms
(/ a (/ b c))

series89.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
36.0ms
(* -3/2 (/ a (/ b c)))
31.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
22.0ms
(/ a (/ b c))

simplify16.1s

Counts
184 → 178
Calls
184 calls:
Slowest
1.2s
(/ (* (* (* -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 -3/2) -3/2) (/ (* (* a a) a) (/ (* (* b b) b) (* (* c c) c)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.0s
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
949.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ a (/ b c)) (/ a (/ b c))) (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
936.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (* (* (/ b c) (/ b c)) (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.7s

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 4.5b

regimes901.0ms

Accuracy

12.4% (6.2b remaining)

Error of 11.3b against oracle of 5.2b and baseline of 12.2b

bsearch79.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.5s8250×body80nan
1.5s16250×pre80true
1.3s4839×body160valid
541.0ms1341×body320valid
244.0ms1820×body80valid