Details

Time bar (total: 11.6s)

sample339.0ms

Algorithm
intervals
Results
93.0ms111×body320valid
37.0ms108×body160valid
34.0ms224×body80nan
34.0ms480×pre80true
9.0ms14×body640valid
4.0ms23×body80valid

simplify134.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
29.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite126.0ms

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-- insert-posit16 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 → 88
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
7.0ms
(- (* b b) (* (* c a) 4))
60.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
49.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series398.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (- (* b b) (* (* c a) 4)))
59.0ms
(- (* b b) (* (* c a) 4))
119.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
102.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify738.0ms

Counts
100 → 100
Iterations
IterNodes
done2005
21103
1400
0161

prune461.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune27.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) a)

rewrite29.0ms

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 insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ (* a c) b)
19.0ms
(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a c) b)
32.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify678.0ms

Counts
55 → 55
Iterations
IterNodes
done2005
21437
1278
099

prune313.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* (* -2 (/ (* a c) b)) (/ 1 a))

rewrite51.0ms

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/
insert-posit16 div-inv add-log-exp
frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
11.0ms
(/ (* a c) b)
39.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

series50.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* a c) b)
22.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

simplify945.0ms

Counts
81 → 81
Iterations
IterNodes
done2001
21747
1426
0144

prune297.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 2.3b

regimes324.0ms

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

sample6.5s

Algorithm
intervals
Results
1.5s3539×body320valid
1.5s16221×pre80true
1.2s8221×body80nan
932.0ms3053×body160valid
246.0ms485×body640valid
120.0ms923×body80valid