Details

Time bar (total: 12.5s)

sample169.0ms

Algorithm
intervals
Results
19.0ms111×body320valid
17.0ms291×body80nan
14.0ms547×pre80true
12.0ms107×body160valid
4.0ms21×body640valid
1.0ms17×body80valid

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.1b
(- (* b b) (* (* c a) 4.0))
27.0b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 84
Calls
4 calls:
10.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
102.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
12.0ms
(- (* b b) (* (* c a) 4.0))
68.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series451.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
140.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
72.0ms
(- (* b b) (* (* c a) 4.0))
132.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5000
21185
1391
0158

prune658.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune84.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
7.0ms
(/ (* a c) b)
15.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
27.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.8s

Counts
53 → 53
Iterations
IterNodes
done5005
21483
1273
097

prune389.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ b (* a c))
0.3b
(/ 1 (/ b (* a c)))
0.3b
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×times-frac
37×add-cbrt-cube div-exp
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv prod-exp
11×associate-/r*
cbrt-unprod div-inv associate-/l*
rec-exp 1-exp
pow1
clear-num frac-2neg add-log-exp
associate-/l/
associate-*r/ associate-/r/ un-div-inv pow-flip inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(/ b (* a c))
16.0ms
(/ 1 (/ b (* a c)))
27.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

series94.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ b (* a c))
34.0ms
(/ 1 (/ b (* a c)))
22.0ms
(/ (* -2.0 (/ 1 (/ b (* a c)))) a)

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
done5017
21939
1478
0183

prune570.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.4b

regimes642.0ms

Accuracy

0% (3.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.1s3586×body320valid
989.0ms2993×body160valid
701.0ms16237×pre80true
633.0ms8237×body80nan
181.0ms524×body640valid
65.0ms897×body80valid