Details

Time bar (total: 13.0s)

sample260.0ms

Algorithm
intervals
Results
56.0ms282×body80nan
23.0ms105×body320valid
16.0ms538×pre80true
13.0ms105×body160valid
5.0ms20×body640valid
2.0ms26×body80valid

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.7b

localize30.0ms

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))
27.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite269.0ms

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)))
15.0ms
(- (* b b) (* (* 4.0 a) c))
135.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
102.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series524.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
84.0ms
(- (* b b) (* (* 4.0 a) c))
170.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
144.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01952476
14802169
214441861
done50011789

prune444.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

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

prune56.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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

series66.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
38.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: 2 (330.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune216.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:
60.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify2.7s

Counts
36 → 36
Iterations

Useful iterations: 2 (371.0ms)

IterNodesCost
088667
1280640
22036420
done5000420

prune74.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 3.0b

regimes304.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end1.0ms

sample4.8s

Algorithm
intervals
Results
1.2s3715×body320valid
1.2s8258×body80nan
789.0ms16258×pre80true
546.0ms2936×body160valid
178.0ms455×body640valid
106.0ms894×body80valid