Details

Time bar (total: 49.2s)

sample425.0ms

Algorithm
intervals
Results
76.0ms120×body320valid
52.0ms96×body160valid
34.0ms278×body80nan
31.0ms534×pre80true
8.0ms15×body640valid
3.0ms25×body80valid

simplify110.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.4b

localize29.0ms

Local error

Found 4 expressions with local error:

25.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.0b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Counts
4 → 76
Calls
4 calls:
Slowest
63.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
32.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
7.0ms
(- (* b b) (* (* c a) 4))
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
133.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
103.0ms
(sqrt (- (* b b) (* (* c a) 4)))
63.0ms
(- (* b b) (* (* c a) 4))

simplify5.2s

Counts
49 → 88
Calls
49 calls:
Slowest
536.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
423.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
323.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
289.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (* (* (* 2 a) (* 2 a)) (* 2 a)))
286.0ms
(/ (exp (* b b)) (exp (* (* c a) 4)))

prune828.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

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

prune65.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
Slowest
22.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
8.0ms
(/ (* a c) b)

series79.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(/ (* a c) b)
34.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify12.0s

Counts
37 → 59
Calls
37 calls:
Slowest
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
954.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune476.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 32
Calls
1 calls:
Slowest
35.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

series29.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
29.0ms
(/ (* -2 (* a c)) (* (* 2 a) b))

simplify22.3s

Counts
23 → 35
Calls
23 calls:
Slowest
2.8s
(/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.5s
(/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b)))
2.5s
(/ (* (* (* -2 -2) -2) (* (* (* a c) (* a c)) (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.3s
(/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
2.1s
(/ (* (* (* -2 -2) -2) (* (* (* a a) a) (* (* c c) c))) (* (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* b b) b)))

prune284.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 2.4b

regimes353.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.8s3654×body320valid
1.7s2934×body160valid
1.0s8076×body80nan
1.0s16076×pre80true
341.0ms518×body640valid
112.0ms894×body80valid