Details

Time bar (total: 12.3s)

sample200.0ms

Algorithm
intervals
Results
17.0ms103×body320valid
15.0ms270×body80nan
13.0ms526×pre80true
12.0ms98×body160valid
4.0ms20×body640valid
2.0ms35×body80valid

simplify81.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(- (* b b) (* (* c a) 4.0))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
26.5b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite163.0ms

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:
8.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
11.0ms
(- (* b b) (* (* c a) 4.0))
85.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
54.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series428.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
51.0ms
(- (* b b) (* (* c a) 4.0))
138.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
147.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.0s

Counts
96 → 96
Iterations
IterNodes
done5000
21179
1391
0158

prune780.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize15.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune95.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.8b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
21.0ms
(/ (* -2.0 (/ (* a c) b)) a)
8.0ms
(/ (* a c) b)

series53.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* -2.0 (/ (* a c) b)) a)
27.0ms
(/ (* a c) b)

simplify1.2s

Counts
53 → 53
Iterations
IterNodes
done5022
21485
1274
097

prune327.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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:
10.0ms
(/ (* a c) b)
53.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

series59.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
31.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

simplify1.7s

Counts
79 → 79
Iterations
IterNodes
done5002
21734
1422
0142

prune295.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.8b

regimes610.0ms

Accuracy

0% (3.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.5s3554×body320valid
1.3s15987×pre80true
607.0ms7987×body80nan
483.0ms2993×body160valid
207.0ms523×body640valid
70.0ms930×body80valid