Details

Time bar (total: 26.8s)

sample120.0ms

Algorithm
intervals
Results
27.0ms162×body160valid
19.0ms239×body80nan
17.0ms495×pre80true
9.0ms37×body320valid
5.0ms57×body80valid

simplify408.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.1b
(- (* b b) (* 4.0 (* c a)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
38.9b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u insert-posit16 log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 187
Calls
4 calls:
22.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
23.0ms
(- (* b b) (* 4.0 (* c a)))
144.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
111.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series572.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
83.0ms
(- (* b b) (* 4.0 (* c a)))
221.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
151.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify4.5s

Counts
199 → 199
Iterations
IterNodes
done5006
22234
1798
0325

prune2.6s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.1b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune301.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.1b

localize36.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 79
Calls
2 calls:
14.0ms
(/ (* a c) b)
42.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series83.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* a c) b)
43.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify3.7s

Counts
85 → 85
Iterations
IterNodes
done5039
21956
1459
0173

prune1.3s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.1b

localize45.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))
0.3b
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
69×times-frac
49×div-exp
44×add-cbrt-cube
37×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×cbrt-undiv
17×prod-exp
13×associate-/l*
11×associate-/r* div-inv
cbrt-unprod
rec-exp 1-exp
pow1
expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 146
Calls
3 calls:
21.0ms
(/ b (* a c))
46.0ms
(/ 1 (/ b (* a c)))
67.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

series147.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ b (* a c))
60.0ms
(/ 1 (/ b (* a c)))
30.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

simplify4.5s

Counts
155 → 155
Iterations
IterNodes
done5031
22516
1687
0269

prune1.6s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 5.1b

regimes2.3s

Accuracy

11.8% (6.4b remaining)

Error of 11.5b against oracle of 5.1b and baseline of 12.3b

bsearch71.0ms

Steps
ItersRangePoint
3
0.001235527435550306
0.0015236040748043695
0.0012535322255036849

simplify23.0ms

Iterations
IterNodes
done32
132
026

end0.0ms

sample3.8s

Algorithm
intervals
Results
831.0ms4823×body160valid
718.0ms7968×body80nan
697.0ms1305×body320valid
664.0ms15968×pre80true
169.0ms1872×body80valid