Details

Time bar (total: 16.9s)

sample142.0ms

Algorithm
intervals
Results
31.0ms180×body80valid
30.0ms37×body1280valid
24.0ms24×body2560valid
14.0ms93×body80nan
12.0ms18×body640valid
5.0ms4×body5120valid
3.0ms6×body320valid
1.0ms4×body160valid

simplify104.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.4b
(- (* b b) (* (* c a) 4))
1.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
21.3b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite174.0ms

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:
96.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
22.0ms
(- (* b b) (* (* c a) 4))
46.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
9.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
81.0ms
(- (* b b) (* (* c a) 4))
116.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
95.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.4s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21108
1400
0161

prune699.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
0.4b
(- (* b b) (* (* c a) 4))
1.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
21.3b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite264.0ms

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:
169.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
8.0ms
(- (* b b) (* (* c a) 4))
70.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
80.0ms
(- (* b b) (* (* c a) 4))
137.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
127.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done2002
32002
21459
1464
0181

prune702.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.4b
(- (* b b) (* (* c a) 4))
1.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
21.3b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite183.0ms

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:
90.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
68.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
57.0ms
(- (* b b) (* (* c a) 4))
135.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
111.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.3s

Counts
100 → 100
Iterations
IterNodes
done2001
32001
21108
1400
0161

prune465.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ a (- (sqrt (- (* b b) (* (* c a) 4))) b)))
0.4b
(- (* b b) (* (* c a) 4))
1.6b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
21.3b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
123×add-sqr-sqrt
96×*-un-lft-identity
70×add-cube-cbrt
26×difference-of-squares
24×associate-/r*
16×sqrt-prod
15×add-exp-log
13×distribute-lft-out--
9×add-cbrt-cube associate-/r/
8×add-log-exp
7×flip3-- div-exp flip--
6×pow1
5×div-inv
4×insert-posit16
3×cbrt-undiv associate-/l*
2×rec-exp sub-neg sqrt-div diff-log 1-exp
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-flip inv-pow
Counts
4 → 166
Calls
4 calls:
59.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* c a) 4))) b)))
7.0ms
(- (* b b) (* (* c a) 4))
58.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
15.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series862.0ms

Counts
4 → 12
Calls
4 calls:
565.0ms
(/ 1 (/ a (- (sqrt (- (* b b) (* (* c a) 4))) b)))
66.0ms
(- (* b b) (* (* c a) 4))
123.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
107.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.5s

Counts
178 → 178
Iterations
IterNodes
done2002
32002
21756
1651
0265

prune965.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

regimes435.0ms

Accuracy

84.9% (4.2b remaining)

Error of 9.6b against oracle of 5.4b and baseline of 33.3b

bsearch253.0ms

Steps
ItersRangePoint
9
1.9857735944483347e-57
1.377205241174095e-49
3.822016447114454e-57
9
-9.632418191944025e+160
-8.091671749741088e+152
-1.2957079292059776e+154

simplify5.0ms

Iterations
IterNodes
done31
131
027

end0.0ms

sample4.4s

Algorithm
intervals
Results
982.0ms1060×body2560valid
925.0ms5860×body80valid
770.0ms910×body1280valid
721.0ms3006×body80nan
327.0ms471×body640valid
149.0ms225×body320valid
131.0ms108×body5120valid
26.0ms103×body160valid