Details

Time bar (total: 1.0m)

sample167.0ms

Algorithm
intervals
Results
44.0ms124×body320valid
35.0ms501×pre80true
27.0ms245×body80nan
19.0ms84×body160valid
5.0ms10×body640valid
4.0ms38×body80valid

simplify137.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
137.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize20.0ms

Local error

Found 4 expressions with local error:

24.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite144.0ms

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
79.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
36.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
20.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series339.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
98.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
55.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify5.0s

Counts
50 → 91
Calls
50 calls:
Slowest
563.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
484.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
377.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
361.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
269.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

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

prune58.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.7b

localize31.0ms

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)

rewrite57.0ms

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)) (* 3 a))
17.0ms
(/ (* a c) b)
15.0ms
(* -3/2 (/ (* a c) b))

series101.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
37.0ms
(/ (* a c) b)
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
30.0ms
(* -3/2 (/ (* a c) b))

simplify12.2s

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)))
1.2s
(/ (* (* (* -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 -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)))
786.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune906.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
97×add-cbrt-cube add-exp-log
57×times-frac
54×add-sqr-sqrt
46×*-un-lft-identity add-cube-cbrt
44×associate-*r*
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp sqrt-prod
11×pow1
7×associate-/r* associate-*r/
4×associate-*l* pow-prod-down insert-posit16 div-inv associate-/l* add-log-exp
3×unswap-sqr associate-/l/
2×frac-times clear-num frac-2neg associate-*l/ *-commutative
Counts
4 → 177
Calls
4 calls:
Slowest
50.0ms
(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))
36.0ms
(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
10.0ms
(* -3/2 (/ a (sqrt b)))
6.0ms
(/ a (sqrt b))

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(* -3/2 (/ a (sqrt b)))
71.0ms
(/ a (sqrt b))
48.0ms
(* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))
46.0ms
(/ (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* 3 a))

simplify32.1s

Counts
168 → 189
Calls
168 calls:
Slowest
1.9s
(/ (* (* (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))) (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.9s
(/ (* (* (* (* -3/2 (/ a (sqrt b))) (* -3/2 (/ a (sqrt b)))) (* -3/2 (/ a (sqrt b)))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.8s
(/ (* (* (* (* -3/2 -3/2) -3/2) (/ (* (* a a) a) (* (* (sqrt b) (sqrt b)) (sqrt b)))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.8s
(/ (* (* (* (* -3/2 -3/2) -3/2) (* (* (/ a (sqrt b)) (/ a (sqrt b))) (/ a (sqrt b)))) (* (* (/ c (sqrt b)) (/ c (sqrt b))) (/ c (sqrt b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.8s
(/ (* (* (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b))) (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))) (* (* -3/2 (/ a (sqrt b))) (/ c (sqrt b)))) (* (* (* 3 3) 3) (* (* a a) a)))

prune2.0s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.6b

regimes719.0ms

Accuracy

0% (3.8b remaining)

Error of 6.4b against oracle of 2.6b and baseline of 6.4b

bsearch1.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.2s3662×body320valid
1.1s8031×body80nan
1.0s16031×pre80true
856.0ms2886×body160valid
332.0ms489×body640valid
112.0ms963×body80valid