Details

Time bar (total: 17.0s)

sample68.0ms

Algorithm
intervals
Results
27.0ms269×body80valid
7.0ms75×body80nan

simplify234.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02038
13838
27837
313537
415537
516537
616937
done16937

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize138.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
3×diff-log
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log
Counts
4 → 60
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
32.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* b b) (* (* 4.0 a) c))
105.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
107.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.6s

Counts
72 → 72
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0971211
12261091
27561009
32904998
done5001996

prune420.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.1b

localize123.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
4.1b
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
5.9b
(/ (* a c) b)
24.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt times-frac
7×associate-/l*
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp associate-/r* distribute-lft-out--
3×flip3-- sqrt-prod flip--
2×distribute-rgt-neg-in frac-2neg sqrt-div prod-exp clear-num cbrt-unprod div-inv associate-/l/ difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-sub
Counts
4 → 78
Calls
4 calls:
13.0ms
(- (* b b) (* (* 4.0 a) c))
109.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
11.0ms
(/ (* a c) b)
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (* b b) (* (* 4.0 a) c))
67.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
29.0ms
(/ (* a c) b)
94.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.2s

Counts
90 → 90
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01661417
14201349
216071173
done50001144

prune550.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize147.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4.0 a) c)
0.6b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.0b
(- (* b b) (* (* 4.0 a) c))
24.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*l* neg-log *-commutative flip-+
Counts
4 → 60
Calls
4 calls:
23.0ms
(* (* 4.0 a) c)
38.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 4.0 a) c)
142.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
77.0ms
(- (* b b) (* (* 4.0 a) c))
112.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify4.9s

Counts
72 → 72
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01221001
1303907
21072805
34081795
done5000793

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.6b

localize112.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
4.1b
(/ (- (- b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2.0 a))
4.3b
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
24.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
34×times-frac
30×add-exp-log *-un-lft-identity
23×add-cbrt-cube
22×add-cube-cbrt associate-*r*
11×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×pow1 associate-*l*
6×associate-/l* add-log-exp unswap-sqr
4×distribute-lft-out--
3×flip3-- sqrt-prod flip-- div-inv
2×distribute-rgt-neg-in sqrt-div associate-/l/ difference-of-squares
1×frac-times sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 116
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
76.0ms
(/ (- (- b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2.0 a))
73.0ms
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* b b) (* (* 4.0 a) c))
106.0ms
(/ (- (- b) (- b (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))))) (* 2.0 a))
62.0ms
(* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))
107.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.7s

Counts
128 → 128
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02512543
16992431
228171907
done50011714

prune619.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.6b

regimes269.0ms

Accuracy

86.9% (1.9b remaining)

Error of 8.4b against oracle of 6.5b and baseline of 20.7b

bsearch240.0ms

Steps
ItersRangePoint
9
5.30600492772346e+88
5.894388948599132e+93
5.087167594777058e+91
8
-5.7211821970331905e+156
-1.4082798590396656e+153
-1.3283483556924014e+154

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
049138
160138
done60138

end0.0ms

sample1.4s

Algorithm
intervals
Results
635.0ms8741×body80valid
189.0ms2982×body80nan