Details

Time bar (total: 9.9s)

sample182.0ms

Algorithm
intervals
Results
64.0ms141×body160valid
36.0ms255×body80nan
34.0ms511×pre80true
19.0ms115×body80valid

simplify84.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4 a) c)))
0.2b
(- (* b b) (* (* 4 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
28.6b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
add-cbrt-cube add-exp-log
distribute-rgt-neg-in distribute-lft-out
pow1 times-frac associate-/l*
expm1-log1p-u insert-posit16 log1p-expm1-u
distribute-lft-neg-in sqrt-prod
neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
+-commutative rem-sqrt-square clear-num associate-/r* neg-mul-1 sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 94
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(- (* b b) (* (* 4 a) c))
72.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
27.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
69.0ms
(- (* b b) (* (* 4 a) c))
153.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
106.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify1.1s

Counts
106 → 106
Iterations
IterNodes
done2000
32000
21454
1435
0166

prune439.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune71.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))
0.3b
(/ (* a c) b)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 57
Calls
2 calls:
29.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
16.0ms
(/ (* a c) b)

series44.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
23.0ms
(/ (* a c) b)

simplify775.0ms

Counts
63 → 63
Iterations
IterNodes
done2002
22002
1341
0113

prune320.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(/ (* -2 (/ a (/ b c))) (* 2 a))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
39×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
div-inv
associate-/l*
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 106
Calls
2 calls:
6.0ms
(/ a (/ b c))
25.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ a (/ b c))
26.0ms
(/ (* -2 (/ a (/ b c))) (* 2 a))

simplify730.0ms

Counts
112 → 112
Iterations
IterNodes
done2001
22001
1577
0216

prune383.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.1b

regimes630.0ms

Accuracy

45.5% (7.3b remaining)

Error of 16.3b against oracle of 9.0b and baseline of 22.4b

bsearch49.0ms

Steps
ItersRangePoint
4
750.6626388256738
1053.120020302738
759.6594316796017

simplify5.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.4s4485×body160valid
997.0ms8472×body80nan
835.0ms16472×pre80true
522.0ms3515×body80valid