Details

Time bar (total: 16.0s)

sample267.0ms

Algorithm
intervals
Results
34.0ms121×body320valid
20.0ms489×pre80true
20.0ms233×body80nan
17.0ms94×body160valid
6.0ms16×body640valid
2.0ms25×body80valid

simplify115.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
1×+-commutative rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(- (* b b) (* (* 4.0 a) c))
64.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
56.0ms
(- (* b b) (* (* 4.0 a) c))
166.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
122.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify953.0ms

Counts
82 → 82
Iterations
IterNodes
done5000
21908
1419
0154

prune469.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-cbrt-cube add-exp-log
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg prod-exp cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
20.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
6.0ms
(- (* b b) (* (* 4.0 a) c))
48.0ms
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
104.0ms
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series637.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
55.0ms
(- (* b b) (* (* 4.0 a) c))
253.0ms
(/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
207.0ms
(/ (/ (+ 0 (* (* 4.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify1.9s

Counts
163 → 163
Iterations
IterNodes
done5000
23819
1657
0247

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
0.0b
(/ (/ (* (* c a) 4.0) a) (- (+ b (sqrt (- (* b b) (* (* c a) 4.0))))))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (* (* c a) 4.0) a)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
90×*-un-lft-identity
56×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-neg-in distribute-rgt-neg-in
27×add-cbrt-cube add-exp-log
17×distribute-lft-out
15×associate-/r* div-inv
10×cbrt-undiv div-exp
8×neg-mul-1 associate-/l* add-log-exp
6×prod-exp cbrt-unprod
4×pow1
2×clear-num frac-2neg flip3-+ associate-/r/ flip-+ distribute-neg-frac
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- associate-/l/
Counts
4 → 171
Calls
4 calls:
13.0ms
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
87.0ms
(/ (/ (* (* c a) 4.0) a) (- (+ b (sqrt (- (* b b) (* (* c a) 4.0))))))
12.0ms
(- (* b b) (* (* c a) 4.0))
32.0ms
(/ (* (* c a) 4.0) a)

series438.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
257.0ms
(/ (/ (* (* c a) 4.0) a) (- (+ b (sqrt (- (* b b) (* (* c a) 4.0))))))
55.0ms
(- (* b b) (* (* c a) 4.0))
10.0ms
(/ (* (* c a) 4.0) a)

simplify592.0ms

Counts
183 → 183
Iterations
IterNodes
done5000
1832
0295

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ 1 (/ a (* c (* a 4.0))))
0.2b
(/ a (* c (* a 4.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
36×times-frac
27×add-cbrt-cube
24×*-un-lft-identity
22×add-sqr-sqrt add-cube-cbrt
20×div-exp
12×prod-exp
10×cbrt-undiv
8×associate-/r* add-log-exp
6×cbrt-unprod div-inv associate-/l*
5×pow1
4×rec-exp 1-exp
2×clear-num frac-2neg
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log associate-/r/ flip-+ pow-flip flip-- distribute-lft-out inv-pow
Counts
4 → 107
Calls
4 calls:
28.0ms
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
13.0ms
(- (* b b) (* (* c a) 4.0))
47.0ms
(/ 1 (/ a (* c (* a 4.0))))
24.0ms
(/ a (* c (* a 4.0)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(+ b (sqrt (- (* b b) (* (* c a) 4.0))))
63.0ms
(- (* b b) (* (* c a) 4.0))
20.0ms
(/ 1 (/ a (* c (* a 4.0))))
24.0ms
(/ a (* c (* a 4.0)))

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5000
22855
1553
0198

prune573.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes254.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done27
227
126
017

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.2s8006×body80nan
1.1s3668×body320valid
709.0ms16006×pre80true
620.0ms503×body640valid
404.0ms2913×body160valid
116.0ms916×body80valid