Details

Time bar (total: 14.8s)

sample218.0ms

Algorithm
intervals
Results
26.0ms103×body320valid
22.0ms270×body80nan
19.0ms526×pre80true
17.0ms98×body160valid
7.0ms20×body640valid
3.0ms35×body80valid

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
add-log-exp
fma-neg
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
expm1-log1p-u flip3-- log1p-expm1-u 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 → 118
Calls
4 calls:
8.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
12.0ms
(- (* b b) (* (* 4.0 c) a))
111.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
63.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series435.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
60.0ms
(- (* b b) (* (* 4.0 c) a))
139.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
120.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.8s

Counts
130 → 130
Iterations
IterNodes
done5000
22179
1509
0198

prune902.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune77.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 2 expressions with local error:

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

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
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
15.0ms
(/ (* -2.0 (/ (* a c) b)) a)
7.0ms
(/ (* a c) b)

series52.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* -2.0 (/ (* a c) b)) a)
26.0ms
(/ (* a c) b)

simplify1.5s

Counts
57 → 57
Iterations
IterNodes
done5000
21932
1281
0101

prune439.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.8b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

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/
expm1-log1p-u log1p-expm1-u div-inv add-log-exp
frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 77
Calls
2 calls:
7.0ms
(/ (* a c) b)
77.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

series68.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* a c) b)
31.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

simplify2.3s

Counts
83 → 83
Iterations
IterNodes
done5001
23258
1466
0146

prune390.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.8b

regimes606.0ms

Accuracy

0% (3.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.3s3554×body320valid
751.0ms7987×body80nan
658.0ms15987×pre80true
578.0ms523×body640valid
545.0ms2993×body160valid
68.0ms930×body80valid