Details

Time bar (total: 16.9s)

sample115.0ms

Algorithm
intervals
Results
29.0ms36×body2560valid
25.0ms187×body80valid
17.0ms25×body1280valid
11.0ms86×body80nan
9.0ms17×body640valid
3.0ms8×body320valid
1.0ms4×body160valid

simplify98.0ms

Counts
1 → 1
Iterations
IterNodes
done95
795
694
592
484
367
243
124
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
0.8b
(- (* b b) (* (* 4 a) c))
0.9b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite135.0ms

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:
71.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
15.0ms
(- (* b b) (* (* 4 a) c))
34.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
79.0ms
(- (* b b) (* (* 4 a) c))
108.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
110.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2000
32000
21158
1394
0161

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
0.8b
(- (* b b) (* (* 4 a) c))
0.9b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite141.0ms

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:
89.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
7.0ms
(- (* b b) (* (* 4 a) c))
35.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (- (sqrt (- (* b b) (* (* 4 a) c))) b) a)
81.0ms
(- (* b b) (* (* 4 a) c))
105.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
94.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done2000
32000
21158
1394
0161

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
0.8b
(- (* b b) (* (* 4 a) c))
0.9b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite208.0ms

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:
117.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
14.0ms
(- (* b b) (* (* 4 a) c))
63.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (- (sqrt (- (* b b) (* (* 4 a) c))) b) (/ 1 a))
69.0ms
(- (* b b) (* (* 4 a) c))
120.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
91.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts
101 → 101
Iterations
IterNodes
done2000
32000
21455
1458
0181

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize69.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
0.9b
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite142.0ms

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:
43.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
67.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
115.0ms
(- (sqrt (- (* b b) (* (* 4 a) c))) b)
97.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
96.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
done2002
32002
2595
1194
082

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.3b

regimes259.0ms

Accuracy

84% (4.4b remaining)

Error of 10.0b against oracle of 5.6b and baseline of 32.9b

bsearch244.0ms

Steps
ItersRangePoint
8
5.833527798943191e-77
3.6732813120885656e-72
3.1295384133612364e-73
9
-2.2174027590176242e+73
-8.164533525332822e+65
-3.063397748446981e+71

simplify9.0ms

Iterations
IterNodes
done36
136
029

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.4s5891×body80valid
911.0ms1026×body2560valid
564.0ms881×body1280valid
525.0ms96×body5120valid
403.0ms2954×body80nan
328.0ms464×body640valid
110.0ms237×body320valid
45.0ms104×body160valid