Details

Time bar (total: 11.4s)

sample112.0ms

Algorithm
intervals
Results
39.0ms552×pre80true
14.0ms143×body160valid
14.0ms296×body80nan
8.0ms55×body320valid
3.0ms58×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
37.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
18×sqrt-prod
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
pow1
expm1-log1p-u flip3-- flip-- log1p-expm1-u
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 106
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(- (* b b) (* (* 4.0 a) c))
109.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
57.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series420.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
62.0ms
(- (* b b) (* (* 4.0 a) c))
139.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
89.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01952476
14802169
214441861
done50011789

prune416.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune30.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 55
Calls
2 calls:
10.0ms
(/ (* a c) b)
28.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* a c) b)
23.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify916.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune158.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
18×prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 33
Calls
1 calls:
55.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify2.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (413.0ms)

IterNodesCost
088667
1280640
22036420
done5000420

prune50.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 4.9b

regimes343.0ms

Accuracy

0% (7.0b remaining)

Error of 12.1b against oracle of 5.1b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.1s16186×pre80true
941.0ms8186×body80nan
822.0ms4842×body160valid
307.0ms1362×body320valid
219.0ms1796×body80valid