Details

Time bar (total: 6.5s)

sample64.0ms

Algorithm
intervals
Results
15.0ms110×body320valid
9.0ms530×pre80true
9.0ms274×body80nan
6.0ms97×body160valid
2.0ms18×body640valid
1.0ms31×body80valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
26.2b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite168.0ms

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:
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
91.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
52.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series317.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
110.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
47.0ms
(- (* b b) (* (* 4.0 a) c))
86.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify942.0ms

Counts
118 → 118
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
01952476
14802169
214461861
done50001789

prune276.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

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

prune36.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.6b

localize7.0ms

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:
13.0ms
(/ (* a c) b)
22.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series43.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a c) b)
22.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify642.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune134.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
33.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ (* -2.0 (* a c)) (* (* 2.0 a) b))

simplify1.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
088667
1280640
22036420
done5000420

prune41.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.6b

regimes228.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.6s

Algorithm
intervals
Results
349.0ms3585×body320valid
273.0ms16235×pre80true
266.0ms8235×body80nan
196.0ms2962×body160valid
67.0ms518×body640valid
33.0ms935×body80valid