Details

Time bar (total: 12.1s)

sample97.0ms

Algorithm
intervals
Results
19.0ms29×body320valid
18.0ms174×body160valid
16.0ms292×body80nan
13.0ms548×pre80true
3.0ms53×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01417
12517
24616
38716
412016
512916
done12916

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
38.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite230.0ms

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:
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(- (* b b) (* (* 4.0 a) c))
113.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
91.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series413.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
62.0ms
(- (* b b) (* (* 4.0 a) c))
147.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
95.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.8s

Counts
118 → 118
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01952476
15182183
224661866
done50021794

prune344.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

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

prune35.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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)
23.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a c) b)
24.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0111818
1353787
22537605
done5001575

prune213.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
39×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
14×associate-/r*
10×prod-exp cbrt-unprod
div-inv
associate-/l*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 104
Calls
2 calls:
17.0ms
(/ a (/ b c))
41.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

series85.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ a (/ b c))
38.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))

simplify1.7s

Counts
110 → 110
Iterations

Useful iterations: 2 (540.0ms)

IterNodesCost
02141514
16051439
235211225
done50011225

prune325.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 5.9b

regimes548.0ms

Accuracy

0% (6.9b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.7s16030×pre80true
796.0ms4845×body160valid
687.0ms8030×body80nan
549.0ms1355×body320valid
226.0ms1800×body80valid