Details

Time bar (total: 13.4s)

sample389.0ms

Algorithm
intervals
Results
51.0ms31×body80valid
27.0ms106×body320valid
26.0ms254×body80nan
21.0ms510×pre80true
18.0ms104×body160valid
5.0ms15×body640valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12517
24616
38716
412016
512916
done12916

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize18.0ms

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))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
29.7b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite239.0ms

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)))
12.0ms
(- (* b b) (* (* 4.0 a) c))
143.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
67.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series415.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
61.0ms
(- (* b b) (* (* 4.0 a) c))
159.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
119.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify2.0s

Counts
118 → 118
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01952476
15182183
224661866
done50021794

prune465.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune54.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.7b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
24.0ms
(/ (* a c) b)
26.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
35.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
61 → 61
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0111818
1353787
22537605
done5001575

prune239.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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:
48.0ms
(/ (* -2.0 (/ a (/ b c))) (* 2.0 a))
18.0ms
(/ a (/ b c))

series76.0ms

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

simplify2.1s

Counts
110 → 110
Iterations

Useful iterations: 2 (596.0ms)

IterNodesCost
02141514
16071439
235111225
done50001225

prune364.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

regimes466.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.9s3617×body320valid
772.0ms8119×body80nan
725.0ms16119×pre80true
416.0ms2927×body160valid
278.0ms520×body640valid
74.0ms936×body80valid