Details

Time bar (total: 26.9s)

sample124.0ms

Algorithm
intervals
Results
19.0ms35×body2560valid
18.0ms188×body80valid
13.0ms28×body1280valid
10.0ms5×body5120valid
8.0ms85×body80nan
5.0ms14×body640valid
3.0ms10×body320valid
1.0ms4×body160valid

simplify340.0ms

Counts
1 → 1
Iterations
IterNodes
done96
796
695
593
485
370
242
124
014

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
0.8b
(- (* b b) (* (* 4.0 a) c))
1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
146.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
12.0ms
(- (* b b) (* (* 4.0 a) c))
60.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
24.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
83.0ms
(- (* b b) (* (* 4.0 a) c))
172.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
135.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.7s

Counts
100 → 100
Iterations
IterNodes
done5000
21144
1391
0162

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
0.8b
(- (* b b) (* (* 4.0 a) c))
1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp insert-posit16 difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
312.0ms
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
10.0ms
(- (* b b) (* (* 4.0 a) c))
85.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
25.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
111.0ms
(- (* b b) (* (* 4.0 a) c))
188.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
136.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.8s

Counts
101 → 101
Iterations
IterNodes
done5001
21432
1459
0182

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
0.8b
(- (* b b) (* (* 4.0 a) c))
1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
154.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
20.0ms
(- (* b b) (* (* 4.0 a) c))
91.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
69.0ms
(- (* b b) (* (* 4.0 a) c))
183.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
129.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.7s

Counts
100 → 100
Iterations
IterNodes
done5000
21144
1391
0162

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.8b

localize109.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×*-un-lft-identity
8×sqrt-prod add-log-exp
6×pow1 add-cube-cbrt
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
73.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
83.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
20.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
189.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
141.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
125.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify4.6s

Counts
76 → 76
Iterations
IterNodes
done5000
32150
2592
1193
083

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.8b

regimes1.3s

Accuracy

83.9% (4.7b remaining)

Error of 10.2b against oracle of 5.5b and baseline of 34.7b

bsearch137.0ms

Steps
ItersRangePoint
6
1.5727591416233446e-143
1.789606490082599e-142
1.744031351412433e-142
8
-1.3198903247987554e+155
-1.1250773400730914e+152
-1.2705286994550075e+152

simplify12.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.0s1083×body2560valid
670.0ms5804×body80valid
343.0ms932×body1280valid
296.0ms2988×body80nan
214.0ms489×body640valid
88.0ms247×body320valid
57.0ms107×body5120valid
17.0ms121×body160valid