Details

Time bar (total: 12.7s)

sample205.0ms

Algorithm
intervals
Results
45.0ms98×body320valid
16.0ms255×body80nan
14.0ms511×pre80true
13.0ms104×body160valid
6.0ms25×body640valid
2.0ms29×body80valid

simplify242.0ms

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.0b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
29.0b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite179.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
7.0ms
(- (* b b) (* (* c a) 4.0))
89.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
71.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series595.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
52.0ms
(- (* b b) (* (* c a) 4.0))
116.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
303.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
done5000
21179
1391
0158

prune755.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune90.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
28.0ms
(/ (* -2.0 (/ (* a c) b)) a)
8.0ms
(/ (* a c) b)

series61.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* -2.0 (/ (* a c) b)) a)
23.0ms
(/ (* a c) b)

simplify1.3s

Counts
53 → 53
Iterations
IterNodes
done5022
21485
1274
097

prune470.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.2b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
pow1
rec-exp 1-exp
associate-/r* pow-prod-down associate-*r/
div-inv add-log-exp
frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 73
Calls
2 calls:
14.0ms
(/ (* a c) b)
58.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

series65.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
37.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

simplify1.8s

Counts
79 → 79
Iterations
IterNodes
done5002
21734
1422
0142

prune313.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.2b

regimes509.0ms

Accuracy

0% (3.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.2s8248×body80nan
935.0ms16248×pre80true
928.0ms3594×body320valid
422.0ms2946×body160valid
136.0ms524×body640valid
107.0ms936×body80valid