Details

Time bar (total: 43.9s)

sample186.0ms

Algorithm
intervals
Results
51.0ms476×pre80true
48.0ms122×body320valid
26.0ms220×body80nan
22.0ms86×body160valid
9.0ms20×body640valid
3.0ms28×body80valid

simplify542.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
542.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.7b

localize31.0ms

Local error

Found 4 expressions with local error:

27.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.0b
(- (* b b) (* (* 3 a) c))

rewrite177.0ms

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
97.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
45.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
26.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series362.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
115.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
48.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify5.7s

Counts
50 → 91
Calls
50 calls:
Slowest
636.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
512.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
447.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
434.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
311.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

localize8.0ms

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

prune37.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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
20.0ms
(/ (* a c) b)
17.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
14.0ms
(* -3/2 (/ (* a c) b))

series101.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
44.0ms
(* -3/2 (/ (* a c) b))
36.0ms
(/ (* a c) b)
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.0s

Counts
58 → 90
Calls
58 calls:
Slowest
1.4s
(/ (* (* (* -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 c) (* a c)) (* a 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 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)))
833.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune715.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×pow1 associate-/l*
4×associate-/r* div-inv
3×associate-*l* pow-prod-down insert-posit16 add-log-exp
2×clear-num frac-2neg
1×associate-*r* *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
Slowest
26.0ms
(/ (* -3/2 (* a c)) b)
17.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
13.0ms
(* -3/2 (* a c))

series88.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(* -3/2 (* a c))
30.0ms
(/ (* -3/2 (* a c)) b)
25.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))

simplify14.4s

Counts
68 → 95
Calls
68 calls:
Slowest
1.5s
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (* (* c c) c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a c) (* a c)) (* a c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (/ (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* b b) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
924.0ms
(/ (/ (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* b b) b)) (* (* (* 3 3) 3) (* (* a a) a)))
874.0ms
(/ (/ (* (* (* -3/2 -3/2) -3/2) (* (* (* a a) a) (* (* c c) c))) (* (* b b) b)) (* (* (* 3 3) 3) (* (* a a) a)))

prune658.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.3b

regimes503.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.7s3705×body320valid
1.4s8127×body80nan
1.2s2909×body160valid
1.0s16127×pre80true
225.0ms507×body640valid
100.0ms879×body80valid