Details

Time bar (total: 12.3s)

sample205.0ms

Algorithm
intervals
Results
22.0ms111×body320valid
19.0ms275×body80nan
15.0ms531×pre80true
13.0ms98×body160valid
3.0ms13×body640valid
2.0ms34×body80valid

simplify108.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize31.0ms

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)
26.9b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite143.0ms

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:
13.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
12.0ms
(- (* b b) (* (* c a) 4.0))
74.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
37.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series498.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
56.0ms
(- (* b b) (* (* c a) 4.0))
146.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
162.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5000
21179
1391
0158

prune725.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

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

prune128.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.4b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:
29.0ms
(/ (* -2.0 (/ (* a c) b)) a)
15.0ms
(/ (* a c) b)

series54.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* -2.0 (/ (* a c) b)) a)
30.0ms
(/ (* a c) b)

simplify1.4s

Counts
53 → 53
Iterations
IterNodes
done5022
21485
1274
097

prune433.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
prod-exp cbrt-unprod
cbrt-undiv div-exp
pow1
associate-/r* associate-*l* associate-*r/
div-inv add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 58
Calls
2 calls:
23.0ms
(/ (* -2.0 (* a (/ c b))) a)
11.0ms
(* a (/ c b))

series58.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* -2.0 (* a (/ c b))) a)
34.0ms
(* a (/ c b))

simplify1.5s

Counts
64 → 64
Iterations
IterNodes
done5001
21419
1324
0116

prune265.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 3.4b

regimes757.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.3s3545×body320valid
1.1s16136×pre80true
775.0ms8136×body80nan
566.0ms3054×body160valid
151.0ms513×body640valid
62.0ms888×body80valid